Research Group Numerical Mathematics



Prof. Dr. G. Warnecke

apl. Prof. Dr. M. Kunik



Research Interest


  • 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


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