pdes and odes

On Strong Stability of Runge-Kutta Methods

Dr. Hendrik Ranocha, Technische Universitat Braunschweig

Apr 16, 14:00 - 15:00

B1 L4 R4214

TU Braunschweig pdes and odes Hyperbolic PDEs

Runge-Kutta methods are classical and widespread techniques in the numerical solution of ordinary differential equations (ODEs). Considering partial differential equations, spatial semidiscretisations can be used to obtain systems of ODEs that are solved subsequently, resulting in fully discrete schemes. However, certain stability investigations of high-order methods for hyperbolic conservation laws are often conducted only for the semidiscrete versions.