Implicit parallel peer methods for stiff initial value problems
Copyright policy )Implicit parallel peer methods for stiff initial value problems
The authors consider initial value problems for stiff ordinary differential equations. They derive a class of implicit two-step integration methods having \(s\)-stages which may be computed in parallel. A special representation of the matrices allows to construct a subclass of methods being stable for general stepsize sequences. There are some numerical examples that illustrate the obtained results.
Peer methods, numerical examples, stiff systems, Parallel numerical computation, Nonlinear ordinary differential equations and systems, stability, Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Singular perturbations for ordinary differential equations, singularly perturbation, parallel computation, Stability and convergence of numerical methods for ordinary differential equations
Peer methods, numerical examples, stiff systems, Parallel numerical computation, Nonlinear ordinary differential equations and systems, stability, Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Singular perturbations for ordinary differential equations, singularly perturbation, parallel computation, Stability and convergence of numerical methods for ordinary differential equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).30 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!