Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

The numerical solution of wave scattering from large objects or from a large cluster of scatterers requires excessive computational resources and it becomes necessary to use approximate-but ...

Sebastian Reich, Backward Error Analysis for Numerical Integrators, SIAM Journal on Numerical Analysis, Vol. 36, No. 5 (Jul. - Sep., 1999), pp. 1549-1570 ...

Numerical Solution of Systems of Linear Equations, Iterative Methods Formulation and analysis of basic stationary methods e.g. Gauss-Jacobi, Gauss-Seidel. The numerical solution of Poisson's equation.

Next, small scale errors from uncertain origins are removed from all three fields (the original and aligned forecast as well as the verifying analysis, or proxy for observations) through a process ...

Numerical analysis, machine learning and scientific computing In this research field we are developing advanced computational methods centered around efficient solution strategies for partial ...