Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales

DOI10.1137/19M1266952zbMath1441.65055arXiv1812.00808OpenAlexW3027336709MaRDI QIDQ5112643

Arash Sarshar, Adrian Sandu, Steven Roberts

Publication date: 2 June 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00808

zbMATH Keywords

multiscale dynamicsmultirate time integrationgeneral-structure additive Runge-Kutta methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical methods for stiff equations (65L04)

Related Items (12)

Multirate Exponential Rosenbrock Methods ⋮ A unified formulation of splitting-based implicit time integration schemes ⋮ Multirate linearly-implicit GARK schemes ⋮ Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations ⋮ Implicit-explicit multirate infinitesimal stage-restart methods ⋮ Explicit stabilized multirate method for stiff differential equations ⋮ Multirate partitioned Runge-Kutta methods for coupled Navier-Stokes equations ⋮ A New Class of High-Order Methods for Multirate Differential Equations ⋮ Implicit multirate GARK methods ⋮ A subcell-enriched Galerkin method for advection problems ⋮ Implicit-Explicit Multirate Infinitesimal GARK Methods ⋮ A Fast Time-Stepping Strategy for Dynamical Systems Equipped with a Surrogate Model

Uses Software

• RODAS

Cites Work

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