A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems

DOI10.1007/s10543-023-00945-3OpenAlexW4281255974MaRDI QIDQ2684447

Ibrahim Almuslimani

Publication date: 16 February 2023

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10206

zbMATH Keywords

advection-diffusion-reaction equationsRunge-Kutta-Chebyshev methodsexplicit stabilized methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for stiff equations (65L04)

Related Items (1)

Conservative stabilized Runge-Kutta methods for the Vlasov-Fokker-Planck equation

Uses Software

• RKC
• RODAS
• PIROCK

Cites Work

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• PIROCK: A swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise
• RKC time-stepping for advection-diffusion-reaction problems
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• Convergence properties of the Runge-Kutta-Chebyshev method
• S-ROCK methods for stiff Itô SDEs
• RKC: An explicit solver for parabolic PDEs
• Optimal stability polynomials for numerical integration of initial value problems
• Improved Runge-Kutta-Chebyshev methods
• Fourth Order Chebyshev Methods with Recurrence Relation
• Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations
• Partitioned Runge–Kutta–Chebyshev Methods for Diffusion-Advection-Reaction Problems
• Solving Ordinary Differential Equations I
• Optimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential Equations
• On the Internal Stability of Explicit,m-Stage Runge-Kutta Methods for Largem-Values
• An Implicit-Explicit Runge--Kutta--Chebyshev Scheme for Diffusion-Reaction Equations
• Geometric Numerical Integration
• Explicit Stabilized Integrators for Stiff Optimal Control Problems
• Second order Chebyshev methods based on orthogonal polynomials

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