#exponentialintegrator — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #exponentialintegrator, aggregated by home.social.
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@chrisrackauckas The excellent blog post above explains in detail why implicit ODE solvers are considered more robust than explicit ODE solvers (because they do better on linear problems) and why this is NOT true for all problems (roughly speaking, nonlinear problems can behave differently for linear problems; see the blog post for a better explanation which does not fit here).
An extreme example are exponential integrators, which have perfect stability for linear problems (because they use the analytical solution of linear ODEs). Nevertheless, exponential integrators still suffer from stability problems for nonlinear problems.
#NumericalAnalysis #ODEsolver #NumericalIntegration #ExponentialIntegrator