Strong stability preserving implicit-explicit transformed general linear methods

DOI10.1016/j.matcom.2019.11.008OpenAlexW2990343151WikidataQ126648108 ScholiaQ126648108MaRDI QIDQ1998057

Giuseppe Izzo, Zdzisław Jackiewicz

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2019.11.008

zbMATH Keywords

stability analysisgeneral linear methodsinherent Runge-Kutta stabilityIMEX methodsconstruction of highly stable methodsSSP property

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)

Related Items (4)

Implicit-explicit second derivative general linear methods with strong stability preserving explicit part ⋮ Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods ⋮ High-order multiderivative IMEX schemes ⋮ A new class of strong stability preserving general linear methods

Uses Software

• RODAS
• ODEPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of highly stable implicit-explicit general linear methods
• Partitioned and implicit-explicit general linear methods for ordinary differential equations
• Highly stable implicit-explicit Runge-Kutta methods
• Strong stability preserving general linear methods
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• The construction of practical general linear methods
• Strong stability preserving transformed DIMSIMs
• Strong stability preserving general linear methods with Runge-Kutta stability
• Explicit general linear methods with inherent Runge--Kutta stability
• Starting procedures for general linear methods
• Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part
• Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability
• IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
• Construction of IMEX DIMSIMs of high order and stage order
• Extrapolation-based implicit-explicit general linear methods
• Optimal Explicit Strong-Stability-Preserving General Linear Methods
• Strong Stability Preserving Two-step Runge–Kutta Methods
• Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
• Linear Instability of the Fifth-Order WENO Method
• EXTRAPOLATED IMPLICIT–EXPLICIT RUNGE–KUTTA METHODS

This page was built for publication: Strong stability preserving implicit-explicit transformed general linear methods