Numerical Mathematics

Major 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

Current PhD students in the IMPRS program

Adnan Hayat

Adnan Hayat

PhD project: Forced Periodic Non-isothermal Operation of Chromatographic Columns

IMPRS alumni

Jared Ouma Okiro

PhD thesis: Analytical and Numerical Investigation of an Intracellular Calcium Dynamics Model
(May 2, 2017)

Carlos Cueto Camejo

PhD thesis: Biological population balance equations with non-local behavior and related Hamilton-Jacobi equations
(Jul. 10, 2013)

Shumaila Javeed

PhD thesis: Numerical simulation of nonlinear chromatographic processes
(Jun. 25, 2013)

Vincent Ssemaganda

PhD thesis: The Dynamics of the Becker-Döring System of Nucleation Theory applied to Process Engineering
(Sep. 26, 2011)

Ankik Kumar Giri

PhD thesis: Mathematical Theory for the Dynamics of Coagulation-Fragmentation Equations for Process Engineering
(Oct. 25, 2010)

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