A note on \(B\)-stability of splitting methods

DOI10.1007/s00791-003-0108-xzbMath1067.65077OpenAlexW2018463040MaRDI QIDQ706524

D. Kharzeev

Publication date: 8 February 2005

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-003-0108-x

zbMATH Keywords

Runge-Kutta methodsB-stabilityalgebraic stabilityfractional stepStiff differential system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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)

Related Items (10)

Higher-order additive Runge-Kutta schemes for ordinary differential equations ⋮ Stability analysis of additive Runge-Kutta methods for delay-integro-differential equations ⋮ Formulation and sequential numerical algorithms of coupled fluid/heat flow and geomechanics for multiple porosity materials ⋮ Nonlinear stability and D-convergence of additive Runge-Kutta methods for multidelay-integro-differential equations ⋮ Some stability and convergence of additive Runge-Kutta methods for delay differential equations with many delays ⋮ Exponential Additive Runge-Kutta Methods for Semi-Linear Differential Equations ⋮ Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits ⋮ Robust modeling of hysteretic capillary pressure and relative permeability for two phase flow in porous media ⋮ Nonlinear Stability and B-convergence of Additive Runge-Kutta Methods for Nonlinear Stiff Problems ⋮ Contractivity/monotonicity for additive Runge-Kutta methods: inner product norms

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Sur la B-stabilité des méthodes de Runge-Kutta
• A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry
• Dangers of multiple time step methods
• Splitting methods
• A stability property of implicit Runge-Kutta methods
• Stability Criteria for Implicit Runge–Kutta Methods
• Symplectic Methods Based on Decompositions
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Stability results for fractional step discretizations of time dependent coefficient evolutionary problems
• Time integration of the shallow water equations in spherical geometry

This page was built for publication: A note on \(B\)-stability of splitting methods