most citedPractical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes

1 citations · 1 across the 2 of their papers we have counts for

collaborators
Showing math.NAShow all

2 papers · 1 filter

math.NA2019

Non-existence of generalized splitting methods with positive coefficients of order higher than four

Winfried Auzinger, Harald Hofstätter, Othmar Koch

We prove that generalized exponential splitting methods making explicit use of commutators of the vector fields are limited to order four when only real coefficients are admitted.…

math.NA2016★ 1 cited

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…