A self adjusting multirate algorithm for robust time discretization of partial differential equations

DOI10.1016/j.camwa.2019.11.023zbMath1454.65045OpenAlexW2994851621MaRDI QIDQ2212322

F. Casella, Luca Bonaventura, L. Delpopolo Carciopolo, Abhiram G. Ranade

Publication date: 20 November 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.11.023

zbMATH Keywords

partial differential equationsstiff problemstime discretizationdiagonally implicit solvers

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04)

Related Items (5)

Implicit multirate GARK methods ⋮ A subcell-enriched Galerkin method for advection problems ⋮ The TR-BDF2 method for second order problems in structural mechanics ⋮ A conservative implicit multirate method for hyperbolic problems ⋮ Implicit extensions of an explicit multirate Runge-Kutta scheme

Uses Software

• TR-BDF2

Cites Work

• Unnamed Item
• Unconditionally strong stability preserving extensions of the TR-BDF2 method
• Multirate linear multistep methods
• A multirate time stepping strategy for stiff ordinary differential equations
• Comparison of the asymptotic stability properties for two multirate strategies
• Analysis of a multirate theta-method for stiff ODEs
• Stability of a multi-rate method for numerical integration of ODE's
• Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization
• Analysis and implementation of TR-BDF2
• Comparison of the asymptotic stability for multirate Rosenbrock methods
• A conservative implicit multirate method for hyperbolic problems
• Evaluating numerical ODE/DAE methods, algorithms and software
• Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
• Numerical Solution of Systems of Ordinary Differential Equations Separated into Subsystems
• Multirate partitioned Runge-Kutta methods

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