134 citations · 770 across the 68 of their papers we have counts for
4 papers · 1 filter
Positivity for convective semi-discretizations
Imre Fekete, David I. Ketcheson, Lajos Lóczi
We propose a technique for investigating stability properties like positivity and forward invariance of an interval for method-of-lines discretizations, and apply the technique to…
Dense output for strong stability preserving Runge-Kutta methods
David I. Ketcheson, Lajos Lóczi, Aliya Jangabylova +1
We investigate dense output formulae (also known as continuous extensions) for strong stability preserving (SSP) Runge-Kutta methods. We require that the dense output formula also…
Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes
Winfried Auzinger, Harald Hofstätter, David Ketcheson +1
We present a number of new contributions to the topic of constructing efficient higher-order splitting methods for the numerical integration of evolution equations. Particular sche…
Strong-stability-preserving additive linear multistep methods
Yiannis Hadjimichael, David I. Ketcheson
The analysis of strong-stability-preserving (SSP) linear multistep methods is extended to semi-discretized problems for which different terms on the right-hand side satisfy differe…