Prof. Dr. Gerald Warnecke

Prof. Dr. Gerald Warnecke

Faculty of Mathematics
Institute of Analysis and Numerics
building 02, Universitätsplatz 2, 39106, Magdeburg, G02-17b
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Research Interests

  • Convergence, stability and accuracy of numerical methods, for partial differential equations, analysis and development of numerical methods, finite element methods, finite volume methods, finite difference methods, dicontinuous Galerkin methods, kinetic schemes
  • Theoretical and numerical study of systems of conservation and balance, especially in gas dynamics, multi phase mixtures, laser induced gas bubbles
  • Riemann problems for systems of hyperbolic conservation laws, resonant waves, phase transitions
  • Analytical and numerical methods for population balance equations in chemical and bio process engineering, existence and uniqueness of solutions, cell average method, finite volume schemes, discontinuous Galerkin methods



Teaching

Current Courses

SoSe2021  

Previous Courses

SoSe 2020 Analytische Zahlentheorie
SoSe 2020 Numerik Partieller Differentialgleichungen
SoSe 2020 Proseminar Elementare Zahlentheorie
WiSe 2019/20 Numerik gewöhnlicher Differentialgleichungen
WiSe 2019/20 Numerische Methoden für nicht-reguläre lineare Gleichungssysteme
SoSe 2019 Einführung in die Numerik
SoSe 2019 Numerik Partieller Differentialgleichungen
WiSe 2018/19 Numerik gew. DGL
WiSe 2018/19 Analysis I für AS, BB, LA, MathIng und Physik
SoSe 2018 Einführung in die Numerik
SoSe 2018 Modellierung 2
SoSe 2018 Numerical Methods for Partial Differential Equations
WiSe 2017/18 Numerik gew. DGL
WiSe 2017/18 Mathematik 2b für Ingenieure (Stg A)
SoSe 2017 Numerik I
SoSe 2017 Mathematik 2a für Ingenieure
WiSe 2016/17 Analysis I für AS, LA, MaIng und PH
WiSe 2016/17 Mathematik 2a für Ingenieure
SoSe 2016 Analysis II für AS, LA, MaIng und PH
SoSe 2016 Numerik für Ingenieure und FHW
SoSe 2016 Numerik Zusatz für AS und LA (Ü)
SoSe 2016 Seminar Numerische Methoden für nicht-reguläre lineare Gleichungssysteme
SoSe 2015 Einführung in die Numerik
SoSe 2015 Seminar Populationsmodelle in der mathematischen Biologie
WiSe 2014/15 Mathematik III für Ingenieure
WiSe 2014/15 Symmetrie und Invarianz
SoSe 2014 Analytische Zahlentheorie
SoSe 2014 Mathematik II für Ingenieure
SoSe 2014 Proseminar Analytische Zahlentheorie
WiSe 2013/14 Mathematik I für Ingenieure
SoSe 2013 Analysis II für FNW und FHW
SoSe 2013 Introduction to Computational Methods for Partial Differential Equations and Integral Equations
WiSe 2012/13 Analysis I für FNW und FHW
SoSe 2012 Analytische Zahlentheorie II
SoSe 2012 Proseminar Einführung in die Analytische Zahlentheorie
SoSe 2012 Seminar Analytische Zahlentheorie
WiSe 2011/12 Analytische Zahlentheorie
WiSe 2011/12 Analytische Zahlentheorie (Übung)
SoSe 2011 Numerik gewöhnlicher Differentialgleichungen
SoSe 2011 Proseminar Numerik
SoSe 2011 Seminar Dynamische Modelle aus der Ökonomie und Strukturbildung
WiSe 2010/11 Numerik gewöhnlicher Differentialgleichungen
WiSe 2010/11 Mathematik I für Ingenieure
SoSe 2010 Numerik partieller Differentialgleichungen
SoSe 2010 Proseminar Numerik
SoSe 2010 Seminar Dynamische Modelle aus der Ökonomie und Strukturbildung
WiSe 2009/10 Einführung in die Numerik
SoSe 2009 Analysis II
SoSe 2009 Das Riemann-Problem für Systeme von Erhaltungsgleichungen- Analysis und Numerik
WiSe 2008/09 Analysis I
WiSe 2008/09 Numerik gewöhnlicher Differentialgleichungen
SoSe 2008 Introduction to Computational Methods for Partial Differential Equations and Integral Equations
SoSe 2008 Mathematik IV - Numerik für Ingenieure
SoSe 2008 Proseminar Orthogonalpolynome und spezielle Funktionen
WiSe 2007/08 Einführung in die Numerik
SoSe 2007 Methods of homogenization of partial differential equations
SoSe 2007 Numerik partieller Differentialgleichungen
SoSe 2006 Numerik partieller Differentialgleichungen
WiSe 2005/06 Numerik partieller Differentialgleichungen
SoSe 2005 Dynamische Systeme
SoSe 2005 Proseminar: Spezielle Funtionen
WiSe 2004/05 Einführung in die Numerik partieller Differentialgleichungen
WiSe 2004/05 Einführung in die Numerik
SoSe 2004 Einführung in die Methode der Finiten Elemente
WiSe 2003/04 Numerical methods for Fluid Mechanics
WiSe 2003/04 Homogenisierungen II
SoSe 2003 Numerik gewöhnlicher Differentialgleichungen
SoSe 2003 Symmetrie und Invarianz
SoSe 2003 Homogenisierungsmethoden für part. DGL in d. Kontinuumsmech. (Homogenisierung)
SoSe 2003 Numerische Methoden der Strömungsmechanik
WiSe 2002/03 Numerische Methoden der Strömungsmechanik
WiSe 2002/03 Symmetrie und Invarianz
WiSe 2001/02 Proseminar: Grundlagen der Topologie
WiSe 2001/02 Numerik gewohnlicher Differentialgleichungen
SoSe 2001 Numerische Mathematik I
SoSe 2001 Partielle Differentialgleichungen II
CV

 

 

Degrees:

1981 Diploma in mathematics, Freie Universität Berlin, Germany
1985 Dr. rer. nat., Freie Universität Berlin, Advisor: K. Doppel
1992 Dr. habil., Universität Stuttgart, Germany; Postdoc Advisor: W. Wendland

 

 

Positions:

04/1981 - 12/1986 Scientific assistant, Freie Universität Berlin, Germany
01/1987 - 09/1992 Scientific employee, University Stuttgart
10/1992 - 03/1994 Oberassistent (C2), University Stuttgart
1994 Substitute Professor (C3), Technische Universität München
09/1994 - present Chair for Numerical Mathematics, Otto-von-Guericke Universität Magdeburg
1994 - 2002 Member and applicant of the Research school "Modeling, Computation and Identification of mechanical systems"
1994 2002, 2005 - Member of the faculty council
1995 - 1998 Member of the senate room planning commitee of the university
1995- 2002 Member of the senate budget planning commitee of the university
1996 - 1999 Director of the Institute for Analysis and Numerics
1996 - 2003 Co-ordinator DFG priority research program "Analysis and numerics of conservation laws" Cooperation of researchers in mathematical analysis, numerical mathematics, astrophysics and engineering
1997 - 2003 Applicant and member of the DFG research group "Dynamics of Boundaries in Structure Formation Processes" in Magdeburg
2000 - 2002 Vice-dean of the Faculty of Mathematics
2002 - 2019

Member and vice-speakerer/speaker of the DFG-Graduate School 828 and 1554 "Micro-Macro-Interactions in Structured Media and Particle Systems"

2002 - 2005 Member of the university senate
2005 - 2006 Dean of the Faculty of Mathematics
2006 - 2012 Vice-dean of the Faculty of Mathematics
2007 - 2013 Member and vice-speaker of the "International Max-Planck Research School for Analysis, Design and Optimization in Chemical and Biochemical Process Engineering (IMPRS)"
2008 - 2012

Member of the university senate

seit 2009 Scientific Director of the "Otto-von-Guericke Graduate Academy"
seit 2013 Member and vice-speaker of the "Max-Planck Research School (IMPRS) for Advanced Methods in Process and Systems Engineering - IMPRS ProEng Magdeburg"
Team

Head:

Prof. Dr. Gerald Warnecke

 

Secretary:

Stephanie Wernicke

 

Research assistants and doctoral students:

M.Sc. Ahmad Al Mhamad
M.Sc. Adnan Hayat
M.Sc. Hazem Yaghi
apl. Prof. Matthias Kunik
Dipl.-Math. Christoph Matern
Dr. Ferdinand Thein

 

 

Visiting scientists:

Dr. Imad Barghouti (Jerusalem, DAAD) (12.07.-12.09.2003)
Dr. Qiangchang Ju (P.R. China, DFG) (27.09.03-31.01.2004)
Prof. Dr. Jiequan Li (P. R. China) (Jan. - Sep. 1999, 29.05.04-25.05.2005, 21.06.-10.07.2008, 26.08.-05.09.2009)
Prof. Dr. Hailiang Liu (P. R. China, A. v. Humboldt-Stiftung, DFG) (1.7.1997 - 31.12.1999, 27.11.-18.12.2014)
Prof. Dr. P. Prasad (Indien, A. v. Humboldt-Stiftung) (30.09.03-29.02.2004)
Prof. Dr. Naji Qatanani (Palästina) (1.6.1999 - 31.8.1999, 1.7.2000 - 31.8.2000, 1.10.2002 - 31.7.2003, 16.12.04-31.01.2005)
Dr. Jorge Salazar (Portugal, DFG) (1.2.2001 - 31.6.2002)
Prof. Dr. Subbiah Sundar (Indien, DAAD) (01.07.-22.07.2003, 05.05.-05.08.2005)
Prof. Huazhong Tang (P. R. China, A. v. Humboldt-Stiftung) (1.10.2002 - 30.9.2003)
Prof. Dr. J. Wang (P. R. China, DFG) (Nov.1996 - Aug.1997, 20.04.1999 - 26.06.1999)(11.10.02-11-11.02)
Prof. Dr. Xiaozhong Yang (P. R. China) (27.11.2005-27.11.2006)
Dr. Yousef Zahaykah (Palästina) (01.04.1998-01.10.2004)
Prof. Dr. Hui Zhang (P. R. China, A. v. Humboldt-Stiftung) (01.11.2007 - 30.04.2008)
Dr. Ahmed Bagabir (Jemen, DAAD) (04.08.-18.08.2009, 01.07.-15.08.2015)
 

Former research assistants:

M.Sc. Bolaji Adesokan
Dr. Nikolai Andrianov (Schlumberger, Moskau)
Dr. Sergey Chernigovski
Prof. Dr. Etienne Emmerich
Jochen Gilbert
Dipl.-Math. Robin Gröpler
Dr. Maren Hantke
Prof. Dr. Christiane Helzel
Dr. Uwe Iben (Robert Bosch AG, Stuttgart)
Karin Jaschke
Prof. Dr. Jitendra Kumar (IIT Kharagpur)
Prof. Dr. Maria Lukácová (ehemals Tschechische Republik, TU Hamburg Harburg, jetzt Univ. Mainz)
Dr. Jun Pan, M.Sc. (ehemals P. R. China, jetzt Ames, Iowa, USA)
Prof. Dr. Shamsul Qamar (COMSATS of Information Technology, Islamabad, Pakistan)
Dipl.-Math. Michael Rother
M.Sc. Shaohua Yu

Former doctoral students:

Prof. Dr. Christiane Helzel "Numerical Approximation of Conservation Laws with Stiff Source Term for the Modelling of Detonation Waves" 2000
Dr. Jun Pan, MSc 2000
Dr. Yousef Zahaykah 2002
Dr. Nikolai Andrianov "Analytical and numerical investigation of two-phase flows" 2003
Prof. Dr. Shamsul Qamar "Kinetic Schemes for the Relativistic Hydrodynamics" 2003
Dr. Qurrat-Ul-Ain "Multidimensional Schemes for Hyperbolic Conservation Laws on Triangular Meshes" 2005
Dr. Wolfram Heineken "Adaptive Verfahren zur numerischen Berechnung von Reaktions-Diffusions-Systemen" 2005
Dr. Rüdiger Müller "Numerische Simulation dendritischen Kristallwachstums" 2005
Prof. Dr. Jitendra Kumar "Numerical approximations of population balance equations in particulate systems" 2006
Dr. Suresh Nadupuri "Numerical study of drying in porous media" 2007
Dr. Nagaiah Chamakuri "Adaptive numerical simulation of reaction-diffusion systems" 2007
Dr. Narni Nageswara Rao "Simulations for Modelling of Population Balance Equations of Particulate Processes using the Discrete Particle Model (DPM)"" 2008
Dr. Ankik Kumar Giri "Mathematical and numerical analysis of coagulation-fragmentation equations" 2010
Dr. Ali Zein "Numerical methods for multiphase mixture conservation laws with phase transition" 2010
Dr. Rajesh Kumar "Numerical analysis of finite volume schemes for population balance equations" 2011
Dr. Vincent Ssemaganda "The Dynamics of the Becker-Döring Model of Nucleation" 2011
Dr. Shumaila Javeed "Analysis and Numerical Investigation of Dynamic Models for Liquid Chromotography" 201
Dr. Ee Han "Exact Riemann solutions to two selected resonant hyperbolic systems" 2013
Dr. Carlos Cueto Camejo "The Singular Coagulation and Coagulation-Fragmentation Equations" 2013
Dr. Yaser Al-Kurdi "Numerical Simulation Schemes for Inhomogeneous Convection-Diffusion Systems Modelin Fluidized Beds" 2017
Dr. Jared Okiro "Analytical and Numerical Investigation of an Intracellular Calcium Dynamics Model" 2017
Dr. Abdulatif Badenjki "The PNPM schemes for the one dimensional hyperbolic conservation laws" 2018
Dr. Sebastian Bannasch "Die Zeitseparationstechnik - eine effiziente modellbasierte Rekonstruktionstechnik für die computertomographische Perfusionsbildgebung " 2019
Dr. Taj Munir "Analysis of coupling interface problems for bi-domain diffusion equations" 2020

Diploma and master theses:

Steffen Leutgeb (1993)
Martin Mittnacht (1993)
Jochen Gilbert (1994)
Karin Jaschke (1994)
Thomas Casper (1998)
Nico Krzebek (1998)
Kathrin Schmidt (2000)
Dipl.- Ing. Jan Blumschein (2002)
Thilo Moshagen (2004)
Nadine Aden (2007)
Matthias Würkner (2008)
Robin Gröpler (2010)
Michael Rother (2010)
Conrad Küchler (2011)
Stefanie Kabelitz (2012)
Steffen Heuer (2013)
Sebastian Bannasch (2013)
Constantin Kwiatkowski (2014)

 

 

Projects
Conferences

organized Conferences since 2000

February 28 - March 03, 2000 Conference "Eighth International Conference on Hyperbolic Problems",Magdeburg with H. Freistühler (Aachen)
June 25 - 28, 2000 "Symposium on Entropy", Dresden withA. Greven (Erlangen) and G.Keller (Erlangen)
September 16 - 21, 2000 5th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with D. Kröner (Freiburg)
January 31 - February 2, 2001 Colloquium for the Contuniation for the DFG-Program "Analysis und numerics of conservation laws" (ANumE), Magdeburg  
February 03 - 06, 2001 "Continuum Physics and Nonlinear Partial Differential Equations" a conference in honour of Constantine M. Dafermos, Heidelberg with J. Ball, H. Freistühler, W. Jäger, S. Müller, D. Serre, A. Tzavaras
September 15 - 21, 2002 "6th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with D. Kröner (Freiburg)
September 30 - October 03, 2002 "Analysis of Linear and Nonlinear Hyperbolic Systems of Partial Differential Equations", Potsdam with J. Härterich (Berlin), B.-W. Schulze (Potsdam)
October 07 - 11, 2002 "German-Chinese Workshop on Partial Differential Equations", Potsdam, with C. Hua (Wuhan), B.-W. Schulze (Potsdam), C. Shuxing (Shanghai), I. Witt (Potsdam)
September 03 - 05, 2003 "Abschlusskolloquium des DFG-Schwerpunktprogramms (ANumE)", Magdeburg  
March 01 - 04, 2004 Workshop "Schemes for multidimensional wave structures in hyperbolic systems", Hamburg with M. Lukacova (Hamburg), S. Noelle (Aachen) Workshop
August 08 - September 04, 2004 "7th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with D. Kröner (Freiburg)
March 07 - 09, 2005 Workshop on "Methods for the efficient resolution of NAVIER-STOKES and HYPERBOLIC SYSTEMS with source terms", Magdeburg with L. Tobiska (Magdeburg)
June 06, 2006 Mini-Workshop on "Methods for the efficient resolution of NAVIER-STOKES and HYPERBOLIC SYSTEMS with source terms", Magdeburg  
September 09 - 15, 2007 "8th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with M. Hantke (Magdeburg)
September 06 - 09, 2009 "9th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with M. Hantke (Magdeburg)
September 06- 12, 2011 "10th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with M. Hantke (Magdeburg)
September 08 - 09, 2013 "11th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with M. Hantke (Magdeburg)
September 13 - 19, 2015 "12th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with M. Hantke and F. Thein (Magdeburg)
September 17 - 23, 2017 "13th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with M. Hantke and F. Thein (Magdeburg)
September 08 - 14, 2019 "14th Hirschegg Workshop on Conservation Laws", Hirschegg, Kleinwalsertal with M. Hantke (Halle) and F. Thein (Magdeburg)
Publications

2020

Warnecke, Gerald
Ein Brief von C.F. Gauß an C.L. Gerling - kleinste Fehlerquadrate und das Gauß-Seidel-Verfahren
In:
Mathematische Semesterberichte - Berlin: Springer, Bd. 67.2020, S. 57-84

In: Quarterly of applied mathematics - Providence, RI: Brown University, Division of Applied Mathematics, 1943, Bd. 78 (2020), 3, S. 431-467
Book contribution
Continuum mechanics, applied mathematics and scientific computing: Godunov's legacy: a liber amicorum to Professor Godunov - Chem: Springer, 2020; Demidenko, Gennadii V. . - 2020, S. 169-175;
Bibliographie: Buchbeitrag Link

2019

Hayat, Adnan;  An, Xinghai;  Qamar, Shamsul;  Warnecke, Gerald;  Seidel-Morgenstern, Andreas 

Theoretical analysis of forced segmented temperature gradients in liquid chromatography
In: Processes - Basel: MDPI, Volume 7 (2019), 1, Artikel 846

Badenjki, Abdulatif;  Warnecke, Gerald 

Theoretical and numerical studies of the PNPM DG schemes in one space dimension
In: Applications of mathematics - Dordrecht [u.a.]: Springer Science + Business Media B.V, Bd. 64.2019, 6, S. 599-635

 

Book contribution

Warnecke, Gerald 

Zahl oder Menge - über grundlegende Formen der Mathematik
In: Ästhetik & Artikulation - Münster: Waxmann, S. 191-204, 2019 - (Dialog der Wissenschaften; 3)

2018

Bannasch, Sebastian;  Eckel, Christina;  Frysch, Robert;  Beuing, Oliver;  Warnecke, Gerald;  Rose, Georg 

Noise reduction in perfusion imaging using data-driven prior knowledge
In: Clinical neuroradiology - München: Urban & Vogel, Vol. 28.2018, Suppl. 1, Abstr. 288, S. S100-S101

Chamakuri, Nagaiah;  Neubert, Wilhelm;  Gilbert, Stephen;  Vierheller, Janine;  Warnecke, Gerald;  Falcke, Martin 

Multiscale modeling and numerical simulation of calcium cycling in cardiac myocytes
In: Multiscale modeling & simulation - Philadelphia, Pa: SIAM, Bd. 16.2018, 3, S. 1115-1145

Bannasch, Sebastian;  Frysch, Robert;  Pfeiffer, Tim;  Warnecke, Gerald;  Rose, Georg 

Time separation technique - accurate solution for 4D C-Arm-CT perfusion imaging using a temporal decomposition model
In: Medical physics - Hoboken, NJ: Wiley, Bd. 45.2018, 3, S. 1080-1092

Buchbeitrag

Hantke, Maren;  Matern, Christoph;  Warnecke, Gerald 

Numerical solutions for a weakly hyperbolic dispersed two-phase flow model
In: Theory, Numerics and Applications of Hyperbolic Problems I: Aachen, Germany, August 2016 - Cham: Springer International Publishing, S. 665-675, 2018 - (Springer Proceedings in Mathematics & Statistics; 236)

2017

Bannasch, Sebastian;  Warnecke, Gerald;  Rose, Georg 

Dynamische Perfusionsbildgebung mit C-Arm-System
In: Clinical neuroradiology: official publication of the German, Austrian and Swiss societies of neuroradiology - München: Urban & Vogel, Vol. 27.2017, Suppl. 1, Art. 311, S. S46

Bannasch, Sebastian;  Warnecke, Gerald;  Rose, Georg 

Robust computation of perfusion maps for spatiotemporal model-based CT reconstructionsons
In: Recent progress and developments: 3rd Conference on Image-Guided Interventions & Focus Neuroradiologie, November 6 and 7, 2017, Magdeburg, Germany : abstract book - Magdeburg, 2017, Art. ID47, S. 31 ; [Konferenz: 3rd Conference on Image-Guided Interventions & Focus Neuroradiologie, Magdeburg, Germany, November 6 and 7, 2017]

Hallak, Bassem;  Specht, Eckehard;  Herz, Fabian;  Gröpler, Robin;  Warnecke, Gerald 

Influence of particle size distribution on the limestone decomposition in single shaft kilns
In: Energy procedia - Amsterdam [u.a.]: Elsevier, Bd. 120.2017, S. 604-611

2016

Bannasch, Sebastian;  Warnecke, Gerald;  Rose, Georg 

A compaqct algorithm for a model-based perfusion reconstruction technique
In: IMA Conference on Numerical Linear Algebra und Optimization: Wednesday 7 - Friday 9 September 2016, University of Birmingham ; abstracts book and delegate list - Birmingham: Institut of Mathematics & its Applications, S. 36-37 ; [Kongress: 5th IMA Conference on Numerical Linear Algebra und Optimization, Birmingham, UK, 7-9 September, 2016]

Hallak, Bassem;  Herz, Fabian;  Specht, Eckehard;  Gröpler, Robin;  Warnecke, Gerald 

Simulation of limestone calcination in normal shaft kilns, Part 3: Influence of particle size distribution and type of limestone
In: Cement, lime, gypsum - Gütersloh: Bauverl. BV, Bd. 69.2016, 3, S. 64-68

2015

Bannasch, Sebastian;  Pfeiffer, Tim;  Warnecke, Gerald;  Rose, Georg 

Acceleration of a regularized Algebraic Reconstruction Technique evaluated with a simulation of computed tomography
In: IMA Conference on Numerical Methods for Simulation: Tuesday 1 - Friday 4 September 2015, Mathematical Institute, University of Oxford ; abstracts book and delegate list - Oxford: Univ., S. 17

Bannasch, Sebastian;  Warnecke, Gerald;  Rose, Georg 

Koeffizientenbasierte Algebraische Rekonstruktions-Technik für modellbasierte Perfusionsbildgebung
In: IGIC 2015: 2. Image-Guided Interventions Conference, 2. - 3. November 2015, Mannheim ; Abstractband - Vorträge - Mannheim, S. 19 ; [Beitrag auf USB-Stick]

Bannasch, Sebastian;  Frysch, Robert;  Bismark, Richard;  Warnecke, Gerald;  Rose, Georg 

An optimal relaxation of the algebraic reconstruction technique for CT imaging
In: Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine: proceedings - Newport, 2015, 2015, Art. Th21, S. 622-625

Herz, Fabian;  Hallak, Bassem;  Specht, Eckehard;  Gröpler, Robin;  Warnecke, Gerald 

Simulation of the limestone calcination in normal shaft kilns
In: 10th European Conference on Industrial Furnaces and Boilers: INFUB ; Gaia (Porto), Hotel Holiday Inn Gaia, Portugal, 7 - 10 April 2015 - Gaia (Porto), insges. 10 S.

Camejo, Carlos Cueto;  Gröpler, Robin;  Warnecke, Gerald 

Regular solutions to the coagulation equations with singular kernels
In: Mathematical methods in the applied sciences - Chichester, West Sussex: Wiley, Bd. 38.2015, 11, S. 2171-2184

Hallak, Bassem;  Herz, Fabian;  Specht, Eckehard;  Gröpler, Robin;  Warnecke, Gerald 

Simulation of limestone calcination in normal shaft kilns - Part 1 - mathematical model
In: Cement, lime, gypsum - Gütersloh: Bauverl. BV, 9, S. 66-71, 2015

Hallak, Bassem;  Herz, Fabian;  Specht, Eckehard;  Gröpler, Robin;  Warnecke, Gerald 

Simulation of limestone calcination in normal shaft kilns - Part 2: influence of process parameters
In: Cement, lime, gypsum - Gütersloh: Bauverl. BV, 10, S. 46-50, 2015

Camejo, Carlos Cueto;  Warnecke, Gerald 

The singular kernel coagulation equation with multifragmentation
In: Mathematical methods in the applied sciences - Chichester, West Sussex: Wiley, Bd. 38.2015, 14, S. 2953-2973

Hallak, Bassem;  Herz, Fabian;  Specht, Eckehard;  Gröpler, Robin;  Warnecke, Gerald 

Simulation of limestone calcination in normal shaft kilns - mathematical model
In: ZKG international: Bundesverband der Deutschen Zementindustrie ; Bundesverband der Deutschen Kalkindustrie ; Bundesverband der Gips- und Gipsbauplattenindustrie - Walluf: Bauverl, Bd. 68.2015, 9, S. 66-71

2014

Bannasch, Sebastian;  Warnecke, Gerald;  Frysch, Robert;  Pfeiffer, Tim;  Rose, Georg 

An implicit optimization approach for the Kaczmarz method applied to algebraic reconstruction techniques for computed tomography
In: 4th IMA Confernece on Numerical Linear Algebra and Optimisation - Birmingham: Univ., S. 10, 2014 ; Kongress: IMA Confernece on Numerical Linear Algebra and Optimisation 4 (Birmingham : 2014.09.03-05)

Bannasch, Sebastian;  Frysch, Robert;  Warnecke, Gerald;  Rose, Georg 

Optimale Relaxation der algebraischen Rekonstruktionstechnik für CT
In: IGIC 2014 - Abstractband: 1st Conference on Image-Guided Interventions, 13. - 14. Oktober 2014, Magdeburg ; [1. Tagung \"Image-Guided Interventions\"] - Magdeburg: Univ., S. 25-26 ; Kongress: Conference on Image-Guided Interventions 1 (Magdeburg) ; 2014.10.13-14

Ssemaganda, Vincent;  Warnecke, Gerald 

A note on existence and uniqueness of solutions for a thermodynamically consistent Becker-Döring model
In: Methods and applications of analysis. - Somerville, Mass : International Press, Bd. 21.2014, 2, S. 177-200

Kumar, Rajesh;  Kumar, Jitendra;  Warnecke, Gerald 

Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations
In: Kinetic and related models: KRM - Springfield, Mo: AIMS, Bd. 7.2014, 4, S. 713-737

Han, Ee;  Warnecke, Gerald 

Exact Riemann solutions to shallow water equations
In: Quarterly of applied mathematics. - Providence, RI : Brown Univ, insges. 47 S., 2014

Narni, Nageswara Rao;  Peglow, Mirko;  Warnecke, Gerald;  Kumar, Jitendra;  Heinrich, Stefan;  Kuipers, J. A. M. 

Modeling of aggregation kernels for fluidized beds using discrete particle model simulations
In: Particuology - Amsterdam: Elsevier, Bd. 13.2014, S. 134-144

2013

Javeed, Shumalia;  Qamar, Shamsul;  Ashraf, Waqas;  Warnecke, Gerald;  Seidel-Morgenstern, Andreas 

Analysis and numerical investigation of two dynamic models for liquid chromatography
In: Chemical engineering science. - Amsterdam [u.a.] : Elsevier Science, Bd. 90.2013, S. 17-31

Dreyer, Wolfgang;  Hantke, Maren;  Warnecke, Gerald 

Bubbles in liquids with phase transition. Part 2: On balance laws for mixture theories of disperse vapor bubbles in liquid with phase change
In: Continuum mechanics and thermodynamics: analysis of complex materials and judicious evaluation of the environment - Berlin: Springer, insges. 29 S., 2013

Han, Ee;  Hantke, Maren;  Warnecke, Gerald 

Criteria for nonuniqueness of Riemann solutions to compressible duct flows
In: ZAMM: journal of applied mathematics and mechanics - Berlin: Wiley-VCH, 2013

Hantke, Maren;  Dreyer, Wolfgang;  Warnecke, Gerald 

Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition
In: Quarterly of applied mathematics - Providence, RI: Brown University, Division of Applied Mathematics, Bd. 71.2013, S. 509-540

Kumar, Rajesh;  Kumar, Jitendra;  Warnecke, Gerald 

Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms
In: Mathematical models and methods in applied sciences (M 3 AS). - Singapore [u.a.] : World Scientific, Bd. 23.2013, 7

Zein, Ali;  Hantke, Maren;  Warnecke, Gerald 

On the modeling and simulation of a laser-induced cavitation bubble
In: International journal for numerical methods in fluids - Chichester: Wiley, Bd. 73.2013, 2, S. 172-203

Nagaiah, Ch.;  Suresh Kumar, N.;  Bück, Andreas;  Warnecke, Gerald 

Parallel and high resolution numerical solution of concentration and temperature distributions in fluidized beds
In: Computers & chemical engineering. - Amsterdam [u.a.] : Elsevier Science, Bd. 52.2013, S. 122-133

Bannasch, Sebastian;  Rose, Georg;  Warnecke, Gerald 

Iterative solution of system matrices from computer tomography using discrete time flow methods
In: Magdeburg, Univ., Fak. für Mathematik, 2013, 12 S. - (Preprint; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2013,11)

 

2012

Dreyer, Wolfgang;  Duderstadt, Frank;  Hantke, Maren;  Warnecke, Gerald 

Bubbles in liquids with phase transition. Part 1: On phase change of a single vapor bubble in liquid water
In: Continuum mechanics and thermodynamics: analysis of complex materials and judicious evaluation of the environment - Berlin: Springer, Bd. 24.2012, 4/6, S. 461-483

Han, Ee;  Hantke, Maren;  Warnecke, Gerald 

Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section
In: Journal of hyperbolic differential equations. - London [u.a.] : World Scientific, Bd. 9.2012, 3, S. 403-449

Nagaiah, Ch.;  Rüdiger, S.;  Warnecke, Gerald;  Falcke, M. 

Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics
In: Applied mathematics and computation. - Amsterdam [u.a.] : Elsevier, Bd. 218.2012, 20, S. 10194-10210

Javeed, Shumaila;  Qamar, Shamsul;  Seidel-Morgenstern, Andreas;  Warnecke, Gerald
Parametric study of thermal effects in reactive liquid chromatography

In: Chemical engineering journal - Amsterdam: Elsevier, Bd. 191.2012, S. 426-440

Achchab, B.;  Benjouad, A.;  El Fatini, M.;  Souissi, A.;  Warnecke, Gerald 

Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport
In: Applied mathematics and computation. - Amsterdam [u.a.] : Elsevier, Bd. 218.2012, 9, S. 5276-5291

Giri, Ankik Kumar;  Laurençot, Philippe;  Warnecke, Gerald 

Weak solutions to the continuous coagulation equation with multiple fragmentation
In: Nonlinear analysis. - Oxford : Pergamon, Elsevier Science, Bd. 75.2012, 4, S. 2199-2208

2011

Kumar, Rajesh;  Kumar, Jitendra;  Warnecke, Gerald 

Numerical methods for solving two-dimensional aggregation population balance equations
In: Computers & chemical engineering. - Amsterdam [u.a.] : Elsevier Science, Bd. 35.2011, 6, S. 999-1009

Javeed, Shumaila;  Qamar, Shamsul;  Seidel-Morgenstern, Andreas;  Warnecke, Gerald 

A discontinuous Galerkin method to solve chromatographic models
In: Journal of chromatography. - Amsterdam [u.a.] : ElsevierJournal of chromatography / A, Bd. 1218.2011, 40, S. 7137-7146

Giri, Ankik Kumar;  Warnecke, Gerald 

Uniqueness for the coagulation-fragmentation equation with strong fragmentation
In: Zeitschrift für angewandte Mathematik und Physik. - Basel [u.a.] : Birkhäuser, Bd. 62.2011, 6, S. 1047-1063

Ssemaganda, Vincent;  Holstein, Katharina;  Warnecke, Gerald 

Uniqueness of steady-state solutions for thermodynamically consistent Becker-Döring models
In: Journal of mathematical physics. - Melville, NY : American Institute of Physics, Bd. 52.2011, 8, insges. 28 S.

Giri, Ankik Kumar;  Laurençot, Philippe;  Warnecke, Gerald 

Weak solutions to the continuous coagulation equation with multiple fragmentation
In: Nonlinear analysis. - Amsterdam [u.a.] : Elsevier, Pergamon PressNonlinear analysis / Theory, methods and applications, 2011

2010

Kumar, Jitendra;  Warnecke, Gerald 

A note on moment preservation of finite volume schemes for solving growth and aggregation population balance equations
In: Society for Industrial and Applied Mathematics : SIAM journal on scientific computing . - Philadelphia, Pa. : SIAM, Bd. 32.2010, 2, S. 703-713

Rüdiger, S.;  Nagaiah, Ch.;  Warnecke, Gerald;  Shuai, J. W. 

Calcium domains around single and clustered IP 3 receptors and their modulation by buffers
In: Biophysical journal . - Bethesda, Md. : Biophysical Soc., Bd. 99.2010, 1, S. 3-12

Javeed, Shumaila;  Qamar, Shamsul;  Seidel-Morgenstern, Andreas;  Warnecke, Gerald 

Efficient and accurate numerical simulation of nonlinear chromatographic processes
In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, Bd. 35.2011, 11, S. 2294-2305, 2010

Zein, Ali;  Hantke, Maren;  Warnecke, Gerald 

Modeling phase transition for compressible two-phase flows applied to metastable liquids
In: Journal of computational physics - Amsterdam: Elsevier, Bd. 229.2010, 8, S. 2964-2998

Warnecke, Gerald;  Zhang, Hui 

Steady states of the 1D Doi-Onsager model in the strong shear flow
In: Communications in mathematical sciences . - Somerville, Mass. : International Press, Bd. 8.2010, 3, S. 721-734

Giri, Ankik Kumar;  Kumara, Jitendra;  Warnecke, Gerald 

The continuous coagulation equation with multiple fragmentation
In: Journal of mathematical analysis and applications . - Amsterdam [u.a.] : Elsevier, ISSN 0022-247x, Bd. 374.2010, 1, S. 71-87

2009

Bräsel, Heidemarie;  Christoph, Gerd;  Grunau, Hans-Christoph;  Henk, Martin;  Henning, Herbert;  Kahle, Waltraud;  Kaibel, Volker;  Manteuffel, Karl;  Pott, Alexander;  Warnecke, Gerald;  Willems, Wolfgang 

"Alles was zählt!" - der mathematische Blick
In: Magdeburg: Univ., Fak. für Mathematik, 2009; Getr. Zählung: Ill.; 29 cm - (Technical Report / Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2009,2)

Gokhale, Y. P.;  Kumar, Rajesh;  Kumar, Jitendra;  Hintz, Werner;  Warnecke, Gerald;  Tomas, Jürgen 

Disintegration process of surface stabilized sol-gel TiO 2 nanoparticles by population balances
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 64.2009, 24, S. 5302-5307

Li, Jiequan;  Tang, Huazhong;  Warnecke, Gerald;  Zhang, Lumei 

Local oscillations in finite difference solutions of hyperbolic conservation laws
In: Mathematics of computation . - Providence, RI : Soc., Bd. 78.2009, 268, S. 1997-2018

Zeller, S.;  Rüdiger, S.;  Engel, H.;  Sneyd, J.;  Warnecke, Gerald;  Parker, I.;  Falcke, M. 

Modeling of the modulation by buffers of Ca 2+ release through clusters of IP 3 receptors
In: Biophysical journal . - Bethesda, Md. : Biophysical Soc., Bd. 97.2009, 4, S. 992-1002

Qamar, S.;  Angelov, I.;  Elsner, M. P.;  Ashfaq, A.;  Seidel-Morgenstern, Andreas;  Warnecke, Gerald 

Numerical approximations of a population balance model for coupled batch preferential crystallizers
In: , Bd. 59.2009, 3/4, S. 739-753

Qamar, Shamsul;  Warnecke, Gerald;  Elsner, Martin Peter 

On the solution of population balances for nucleation, growth, aggregation and breakage processes
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 64.2009, 9, S. 2088-2095

2008

Qamar, Shamsul;  Warnecke, Gerald;  Elsner, Martin Peter;  Seidel-Morgenstern, Andreas 

A laplace transformation based technique for reconstructing crystal size distributions regarding size independent growth
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 63.2008, 8, S. 2233-2240

Nagaiah, Ch.;  Rüdiger, S.;  Warnecke, Gerald;  Falcke, M. 

Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods
In: Applied numerical mathematics . - Amsterdam [u.a.] : North-Holland Publ. Co., Bd. 58.2008, 11, S. 1658-1674

Kumar, Jitendra;  Peglow, Mirko;  Warnecke, Gerald;  Heinrich, Stefan 

An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation
In: Powder technology . - Amsterdam [u.a.] : Elsevier, Bd. 182.2008, 1, S. 81-104

Qamar, Shamsul;  Warnecke, Gerald 

Analytical and numerical investigations of a batch crystallization model
In: Journal of computational and applied mathematics . - Amsterdam [u.a.] : North-Holland, Bd. 222.2008, 2, S. 715-731

Kumar, Jitendra;  Warnecke, Gerald 

Convergence analysis of sectional methods for solving breakage population balance equations-I - the fixed pivot technique
In: Numerische Mathematik . - Berlin : Springer, Bd. 111.2008, 1, S. 81-108

Kumar, Jitendra;  Warnecke, Gerald 

Convergence analysis of sectional methods for solving breakage population balance equations-II - the cell average technique
In: Numerische Mathematik . - Berlin : Springer, Bd. 110.2008, 4, S. 539-559

Qamar, Shamsul;  Ashfaq, A.;  Angelov, I.;  Elsner, M. P.;  Warnecke, Gerald;  Seidel-Morgenstern, Andreas 

Numerical solutions of population balance models in preferential crystallization
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 63.2008, 5, S. 1342-1352

Kumar, Jitendra;  Peglow, Mirko;  Warnecke, Gerald;  Heinrich, Stefan 

The cell average technique for solving multi-dimensional aggregation population balance equations
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier, Bd. 32.2008, 8, S. 1810-1830

Nagaiah, Chamakuri;  Warnecke, Gerald;  Heinrich, Stefan;  Peglow, Mirko 

Three-dimensional numerical study of heat and mass transfer in fluidized beds with spray nozzle
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier, Bd. 32.2008, 12, S. 2877-2890

 

Book contribution

Kumar, Jitendra;  Warnecke, Gerald;  Peglow, Mirko;  Tsotsas, Evangelos 

A note on sectional and finite volume methods for solving population balance equations
In: Micro-macro-interactions . - Berlin [u.a.] : Springer, ISBN 978-3-540-85714-3, S. 285-297

Gokhale, Yashodhan;  Kumar, Jitendra;  Hintz, Werner;  Warnecke, Gerald;  Tomas, Jürgen 

Population balance modelling for agglomeration and disintegration of nanoparticles
In: Micro-macro-interactions . - Berlin [u.a.] : Springer, ISBN 978-3-540-85714-3, S. 299-309

Warnecke, Gerald
Predigt beim Akademischen Gottesdienst am 23. Januar 2005 in der Wallonerkirche zu Magdeburg

In: Predigten der Magdeburger Akademischen Gottesdienste 2001 bis 2007 . - Magdeburg : Univ., Evangel. Hochschulpfarramt, S. 167-176, 2008

 

2007

Qurrat-Ul-Ain;  Qamar, Shamsul;  Warnecke, Gerald 

A high-resolution space-time conservative method for non-linear hyperbolic conservation laws
In: International journal of computational methods: IJCM - Singapore [u.a.]: World Scientific Publishing, Bd. 4.2007, 2, S. 223-247

Qamar, Shamsul;  Ashfaq, Azhar;  Warnecke, Gerald;  Angelov, I.;  Elsner, M. P.;  Seidel-Morgenstern, Andreas 

Adaptive high-resolution schemes for multidimensional population balances in crystallization processes
In: Computers & chemical engineering: CACE : an international journal - Amsterdam [u.a.]: Elsevier, Bd. 31.2007, 10, S. 1296-1311

Kumar, Jitendra;  Peglow, Mirko;  Warnecke, Gerald;  Heinrich, Stefan 

An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation
In: Powder technology: an international journal on the science and technology of wet and dry particulate systems - Amsterdam [u.a.]: Elsevier, Bd. 179.2007, S. 205-228

Medviďová-Lukáčová, Mária;  warnecke, Gerald;  Zahaykah, Yousef 

Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system
In: Applied numerical mathematics: transactions of IMACS - Amsterdam [u.a.]: North-Holland Publ. Co, Bd. 57.2007, 9, S. 1050-1064

Rüdiger, S.;  Shuai, J. W.;  Huisinga, W.;  Nagaiah, Chamakuri;  Warnecke, Gerald;  Parker, I.;  Falcke, M. 

Hybrid stochastic and deterministic simulations of calcium blips
In: Biophysical journal: BJ - Bethesda, Md: Biophysical Soc, Bd. 93.2007, 6, S. 1847-1857

Qamar, Shamsul;  Warnecke, Gerald 

Numerical solution of population balance equations for nucleation, growth and aggregation processes
In: Computers & chemical engineering: CACE : an international journal - Amsterdam [u.a.]: Elsevier, Bd. 31.2007, 12, S. 1576-1589

Tang, Huazhong;  Warnecke, Gerald 

On convergence of a domain decomposition method for a scalar convervation law
In: SIAM journal on numerical analysis . - Philadelphia, Pa. : SIAM, Bd. 45.2007, 4, S. 1453-1471

Medviďová-Lukáčová, Mária;  Warnecke, Gerald;  Zahaykah, Yousef 

On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system
In: SIAM journal on numerical analysis: a publication of the Society for Industrial and Applied Mathematics - Philadelphia, Pa: SIAM, Bd. 44.2007, 4, S. 1556-1583

Chen, Li;  Hsiao, Ling;  Warnecke, Gerald 

Study on a cross diffusion parabolic system
In: Acta mathematicae applicatae sinica / English series - Berlin: Springer, Bd. 23.2007, 1, S. 9-28

 

Book contribution

Kumar, Jitendra;  Peglow, Mirko;  Warnecke, Gerald;  Heinrich, Stefan;  Tsotsas, Evangelos;  Mörl, Lothar;  Hounslow, Mike;  Reynolds, Gavin 

Numerical methods on population balances
In: Computational tools at different scales - Weinheim: Wiley-VCH, S. 209-260, 2007

 

2006

Qamar, Shamsul;  Warnecke, Gerald 

Application of space-time CE/SE method to shallow water magnetohydrodynamic equations
In: Journal of computational and applied mathematics . - Amsterdam [u.a.] : North-Holland, Bd. 196.2006, 1, S. 132-149

Qamar, Shamsul;  Elsner, M. P.;  Angelov, I. A.;  Warnecke, Gerald;  Seidel-Morgenstern, Andreas 

A comparative study of high resolution schemes for solving population balances in crystallization
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 30.2006, 6/7, S. 1119-1131

Ben-Artzi, Matania;  Li, Jiequan;  Warnecke, Gerald 

A direct Eulerian GRP scheme for compressible fluid flows
In: Journal of computational physics . - Orlando, Fla. : Academic Press, Bd. 218.2006, 1, S. 19-43

Kumar, Jitendra;  Peglow, Mirko;  Warnecke, Gerald;  Heinrich, Stefan;  Mörl, Lothar 

A discretized model for tracer population balance equation - improved accuracy and convergence
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 30.2006, 8, S. 1278-1292

Peglow, Mirko;  Kumar, Jitendra;  Heinrich, Stefan;  Warnecke, Gerald;  Tsotsas, Evangelos;  Mörl, Lothar;  Wolf, Bertram 

A generic population balance model for simultaneous agglomeration and drying in fluidized beds
In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 62.2007, 1/2, S. 513-532, 2006

Peglow, Mirko;  Kumar, Jitendra;  Warnecke, Gerald;  Heinrich, Stefan;  Mörl, Lothar 

A new technique to determine rate constants for growth and agglomeration with size- and time-dependent nuclei formation
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 61.2006, 1, S. 282-292

Qamar, Shamsul;  Warnecke, Gerald 

A space-time conservative method for hyperbolic systems with stiff and non stiff source terms
In: Communications in computational physics . - Wanchai : Global Science Press, Bd. 1.2006, 3, S. 451-480

Peglow, Mirko;  Kumar, Jitendra;  Warnecke, Gerald;  Heinrich, Stefan;  Tsotsas, Evangelos;  Mörl, Lothar 

An improved discretized tracer mass distribution of Hounslow et al.
In: AIChE journal - Hoboken, NJ: Wiley, Bd. 52.2006, 4, S. 1326-1332

Tang, Hua-Zhong;  Warnecke, Gerald 

High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids
In: Journal of computational mathematics . - Beijing : Chinese Acad. of Mathematics and System Sciences, Bd. 24.2006, 2, S. 121-140

Kumar, Jitendra;  Peglow, Mirko;  Warnecke, Gerald;  Heinrich, Stefan;  Mörl, Lothar 

Improved accuracy and convergence of discretized population balance for aggregation - the cell average technique
In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 61.2006, 10, S. 3327-3342

Müller, Rüdiger;  Warnecke, Gerald 

Numerical simulation of dendritic crystal growth
In: Proceedings in applied mathematics and mechanics. - Weinheim [u.a.] : Wiley-VCH, Bd. 6.2006, 1, S. 751-752

Nagaiah, Chamakuri;  Warnecke, Gerald;  Heinrich, Stefan;  Peglow, Mirko 

Numerical simulation of temperature and concentration distributions in fluidized beds with liquid injection
In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 62.2007, 6, S. 1567-1590, 2006

Heineken, Wolfram;  Warnecke, Gerald 

Partioning methods for reaction-diffusion problems
In: Applied numerical mathematics . - Amsterdam [u.a.] : North-Holland Publ. Co., Bd. 56.2006, 7, S. 981-1000

Qamar, Shamsul;  Warnecke, Gerald 

Solving population balance equations for two-component aggregation by a finite volume scheme
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 62.2007, 3, S. 679-693

 

Book contribution

Kunik, Matthias;  Qamar, Shamsul;  Warnecke, Gerald 

A high order gas kinetic method for the relativistic Euler equations
In: Hyperbolic problems: theory, numerics and applications; Vol. 2: . - Yokohoma : Yokohama Publ., ISBN 4-946552-22-7, S. 141-148, 2006 ; Kongress: Hyp2004; 10 (Osaka) : 2004.09.13-17 ; International Conference on Hyperbolic Problems; 10 (Osaka) : 2004.09.13-17

Peglow, Mirko;  Kumar, Jitendra;  Tsotsas, Evangelos;  Heinrich, Stefan;  Warnecke, Gerald;  Mörl, Lothar 

A population balance model for simulationeous drying and agglomeration
In: Drying 2006 - Gödöllő: Univ., S. 219-226 ; Kongress: International Drying Symposium 15 (Budapest, Hungary : 2006.08.20-23

 

2005

Qamar, Shamsul;  Elsner, M.P. (ext.);  Angelov, Angel;  Warnecke, Gerald;  Seidel-Morgenstern, Andreas 

High resolution schemes for solving population balances in crystallization.
In: L\'Ôcole Nationale de l\'Industrie Minérale (Veranst.): D\'Analyse numerique et optimisation, JAN 08(8. journées, Rabat, 14 au 16 Decembre, 2005). - actes. Rabat, 2005, S. 442 - 447

Kunik, Matthias;  Qamar, Shamsul;  Warnecke, Gerald 

A BGK-type flux-vector splitting scheme for the ultrarelativistic euler equations.
In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2004), Nr. 1, S. 196 - 223

Tang, Huazhong (ext.);  Warnecke, Gerald 

A Runge-Kutta discontinuous galerkin method for the euler equations.
In: Computers & fluids : an international journal [New York, NY] 34(2005), S. 375 - 398

Tang, Huazhong (ext.);  Warnecke, Gerald 

A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids.
In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2005), Nr. 4, S. 1415 - 1431

Qamar, Shamsul;  Warnecke, Gerald 

A high order kinetic Flux-splitting method for the special relativistic hydrodynamics.
In: International journal of computational methods [Singapore] 2(2005), Nr. 1, S. 49 - 74

Qamar, Shamsul;  Warnecke, Gerald 

A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics.
In: Journal of computational physics [Orlando, Fl.] 205(2005), S. 182 - 204

Kunik, Matthias;  Qamar, Shamsul;  Warnecke, Gerald 

A reduction of the Boltzmann-Peierls equation.
In: International journal of computational methods [Singapore] 2(2005), Nr. 2, S. 213 - 229

 

Book contribution

Ain, Qurrat-Ul;  Qamar, Shamsul;  Warnecke, Gerald 

A space-time conservative finite volume scheme for hyperbolic conservation laws.
In: Benkhaldoun, Fayssal (Hrsg.) ; Quazar, Driss (Hrsg.) ; Raghay, Said (Hrsg.): Finite volumes for complex applications IV. London [u.a.] : Hermes Science Publ., 2005, S. 459 - 470

 

2004

Tang, Huazhong (ext.);  Warnecke, Gerald 

A note on (2K+1)-point conservative monotone schemes.
In: Mathematical modelling and numerical analysis [Les Ulis] 38(2004), Nr. 2, S. 345 - 357

Huazhong, Tang (ext.);  Warnecke, Gerald 

A note on (2k + 1)-point conservative monotone schemes.
In: RAIRO /AFCET, Mathematical modelling and numerical analysis [Paris] 38(2004), Nr. 2, S. 345 - 357

Pan, Jun (ext.);  Warnecke, Gerald 

Asymptotic stability of traveling waves for viscous consservation laws with dispersion.
In: Advances in differential equations [Athens, Ohio] 9(2004), Nr. 9/10, S. 1167 - 1184

Lukacoava-Medvidova, M. (ext.);  Morton, K.W. (ext.);  Warnecke, Gerald 

Finite volume evolution Galerkin methods for hyperbolic systems.
In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2004), Nr. 1, S. 1 - 30

Kunik, Matthias;  Qamar, Shamsul;  Warnecke, Gerald 

Kinetic schemes for the relativistic gas dynamics.
In: Numerische Mathematik [Berlin] 97(2004), S. 159 - 191

Kunik, Matthias;  Rang, Joachim;  Warnecke, Gerald;  Zahaykah, Yousef 

On evolution galerkin methods for the maxwell and the linearized Euler equations.
In: Applications of mathematics [Praha] 49(2004), Nr. 5, S. 415 - 439

Lukacova-Medvid'ova, M. (ext.);  Warnecke, Gerald;  Zahaykah, Yousef 

On the boundary conditions for EG methods applied to the two-dimensional wave equation system.
In: Zeitschrift für angewandte Mathematik und Mechanik : ZAMM [Berlin] 84(2004), Nr. 4, S. 237 - 251

Andrianov, Nikolai;  Warnecke, Gerald 

On the solution to the Riemann problem for the compressible duct flow.
In: Siam journal on applied mathematics [Philadelphia] 64(2004), Nr. 3, S. 878 - 901

Qamar, Shamsul;  Warnecke, Gerald 

Simulation of multicomponent flows using high order central schemes.
In: Applied numerical mathematics [Amsterdam] 50(2004), S. 183 - 201

Andrianov, Nikolai (ext.);  Warnecke, Gerald 

The Riemann problem for the Baer-Nunziato two-phase flow model.
In: Journal of computational physics [Orlando, Fl.] 195(2004), S. 434 - 464

 

2003

Andrianov, Nikolai;  Saurel, Richard (ext.);  Warnecke, Gerald 

A simple method for compressible multiphase mixtures and interfaces.
In: International journal for numerical methods in fluids [Chichester] 41(2003), S. 109 - 131

Li, Jiequan (ext.);  Lukacova-Medvidova, Maria (ext.);  Warnecke, Gerald 

Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system.
In: Discrete and continuous dynamical systems [Springfield, Mo.] 9(2003), Nr. 3, S. 559 - 576

Wang, Jinghua (ext.);  Warnecke, Gerald 

Existence and uniqueness of solutions for a non-uniformly parabolic equation.
In: Journal of differential equations [Orlando, Florida] 189(2003), S. 1 - 16

Li, Jiequan (ext.);  Warnecke, Gerald 

Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.
In: Advances in differential equations [Athens, Ohio] 8(2003), Nr. 8, S. 961 - 1004

Kunik, Matthias;  Qamar, Shamsul;  Warnecke, Gerald 

Kinetic schemes for the ultra-relativistic Euler equations.
In: Journal of computational physics [Orlando, Fl.] 187(2003), S. 572 - 596

Kunik, Matthias;  Qamar, Shamsul;  Warnecke, Gerald 

Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. , S. 695 - 726
In: Journal of computational physics [Orlando, Fl.] 192(2003)

Kunik, Matthias;  Warnecke, Gerald;  Zahaykah, Yousef 

Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system.
In: Journal of numerical mathematics [Utrecht] 11(2003), Nr. 3, S. 235 - 251

 

Book contribution

Greven, Andreas (ext.);  Keller, Gerhard (ext.);  Warnecke, Gerald 

Introduction.
In: Greven, Andreas (Hrsg.) ; Keller, Gerhard (Hrsg.) ; Warnecke, Gerald (Hrsg.): Entropy. Princeton [u.a.] : Princeton Univ. Press, 2003, S. 1 - 16 (Princeton series in applied mathematics)

Andrianov, Nikolai;  Saurel, Richard (ext.);  Warnecke, Gerald 

The Riemann problem for a two-phase model.
In: Hou, Thomas Y. (Hrsg.) ; Tadmor, Eitan (Hrsg.): Hyperbolic problems : theory, numerics, applications (9th international conference Pasadena, Calif. March 25-29 2002). - proceedings. Berlin [u.a.] : Springer, 2003, S. 275 - 284

 

2002

Huang, Jinyang (ext.);  Wang, Jinghua (ext.);  Warnecke, Gerald 

Error bounds for the large time step Glimm scheme applied to scalar conservation laws.
In: Numerische Mathematik [Berlin] 91(2002), S. 13 - 34

Lukacova-Medvid'ova, (ext.);  Morton, K.W. (ext.);  Warnecke, Gerald 

Finite volume evolution Galerkin methods for Euler equations of gas dynamics.
In: International journal for numerical methods in fluids [Chichester] 40(2002), S. 425 - 434

Lukacova-Medvid'ova, M. (ext.);  Saibertova, J. (ext.);  Warnecke, Gerald 

Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.
In: Journal of computational physics [Orlando, Fl.] 183(2002), S. 533 - 562

Li, Jiequan (ext.);  Warnecke, Gerald 

On measure solutions to the zero-pressure gas model and their uniqueness.
In: Mathematica bohemica [Praha] 127(2002), Nr. 2, S. 265 - 273

 

2001

Warnecke, Gerald 

Adaption and reliability of numerical methods for stiff and nonstiff problems in CFD.
In: Computational fluid dynamics journal [Tokyo] 9(2001), Nr. 1, S. 540 - 548

Liu, Hailiang (ext.);  Wang, Jinghua (ext.);  Warnecke, Gerald 

Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation.
In: Journal of computational and applied mathematics [Amsterdam] 134(2001), S. 343 - 367

Hailiang Liu, (ext.);  Wang, Jinghua (ext.);  Warnecke, Gerald 

Convergence rates to discrete shocks for nonconvex conservation laws.
In: Numerische Mathematik [Berlin] 88(2001), Nr. 3, S. 513 - 541

 

Book contribution

Lukacova-Medvidova, Maria;  Morton, K.W. (ext.);  Warnecke, Gerald 

Finite volume evolution galerkin methods for multidimensional hyperbolic systems.
In: Toro, E. F. (Hrsg.): Godunov Methods : theory and applications. New York : Kluwer Academic, 2001, S. 571 - 576

Helzel, Christiane (ext.);  Warnecke, Gerald 

Unconditionally stable explicit schemes for the approximation of conservation laws.
In: Fiedler, Bernold (Hrsg.): Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin : Springer, 2001, S. 775 - 803

 

2000

Lukacova-Medvidova, Maria (ext.);  Warnecke, Gerald;  Zahaykah, Yousef 

Numerical schemes based on bicharacteristics for hyperbolic systems.
In: CIMASI\' 2000 (Third international conference on applied mathematics and engineering sciences Casablanca, Marocco October 23- 24 -24, 2000). Casablanca, 2000, Beitrag auf CD- ROM, [6 S.]

Liu, Hailiang (ext.);  Warnecke, Gerald 

Convergence rates for relaxation schemes approximating conservation laws.
In: SIAM journal on numerical analysis [Philadelphia] 37(2000), Nr. 4, S. 1316 - 1337

Kunik, Matthias;  Morton, K.W. (ext.);  Warnecke, Gerald 

Evolution galerkin methods for hyperbolic systems in two space dimensions.
In: Mathematics of computation [Washington, DC] 69(2000), Nr. 232, S. 1355 - 1384

Kunik, Matthias;  Warnecke, Gerald 

Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems.
In: East-west journal of numerical mathematics [Zeist] 8(2000), Nr. 2, S. 127 - 152

Liu, Hailiang (ext.);  Wang, Jinghua (ext.);  Warnecke, Gerald  The LIP+ - stability and error estimates for a relaxation scheme.
In: SIAM journal on numerical analysis [Philadelphia] 38(2000), Nr. 4, S. 1154 - 1170

 

Book contribution

Iben, Uwe;  Warnecke, Gerald;  Heiermann, J. (ext.);  Auweter-Kurtz, M. (ext.) 

Adaptive numerics for the simulation of magneto-plasmadynamic rocket thrusters.
In: Neittaanmäki, Pekka (Hrsg.) ; ... (Hrsg.): Numerical mathematics and advanced applications, ENUMATH \'99 (3rd European conference Jyväskylä 26. - 30.07, 1999). - proceedings. River Edge, NJ : World Scientific, 2000, S. 121 - 130

Lukacova-Medvidova, Maria;  Morton, K.W. (ext.);  Warnecke, Gerald 

Evolution Galerkin methods for multidimensional hyperbolic systems.
In: Computational methods in applied sciences and engineering, ECCOMAS 2000 (European congress Barcelona, 11-14 September 2000). - proceedings. Barcelona : CIMNE, 2000, [14 S.]

Lukacova-Medvidova, Maria;  Morton, K.W. (ext.);  Warnecke, Gerald 

High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws.
In: Neittaanmäki, Pekka (Hrsg.) ; ... (Hrsg.): Numerical mathematics and advanced applications, ENUMATH \'99 (3rd European conference Jyväskylä 26. - 30.07, 1999). - proceedings. River Edge, NJ : World Scientific, 2000, S. 633 - 640

Hailiang, Liu (ext.);  Warnecke, Gerald 

Initial effects and convergence rates for relaxation methods.
In: Fiedler, Bernold (Hrsg.) ; ... (Hrsg.): EQUADIFF \'99 (international conference on Differential Equations, Berlin 1. - 7. August 1999). vol. 1. - proceedings. Singapore : World Scientific, 2000, S. 301 - 307

 

Publications 1985-1999 

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