On a generalization of time-accurate and highly-stable explicit operators for stiff problems

DOI10.1016/j.apnum.2023.04.001MaRDI QIDQ6546938

Dajana Conte, Giovanni Pagano, L. Aceto

Publication date: 30 May 2024

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Runge-Kutta methodsPDEstime-marching methodsstiff differential problems

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) Numerical analysis (65-XX)

Cites Work

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• A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.
• Order conditions for Rosenbrock type methods
• Time-accurate and highly-stable explicit operators for stiff differential equations
• A note on the stability of time-accurate and highly-stable explicit operators for stiff differential equations
• W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs
• An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
• Simple bespoke preservation of two conservation laws
• Numerical Methods for Ordinary Differential Equations

Related Items (3)

Stability theory of TASE-Runge-Kutta methods with inexact Jacobian ⋮ On approximate matrix factorization and TASE W-methods for the time integration of parabolic partial differential equations ⋮ Stabilized explicit peer methods with parallelism across the stages for stiff problems

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