Time-accurate and highly-stable explicit peer methods for stiff differential problems (Q2685817)

scientific article

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English	Time-accurate and highly-stable explicit peer methods for stiff differential problems	scientific article

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instance of

scholarly article

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title

Time-accurate and highly-stable explicit peer methods for stiff differential problems (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

23 February 2023

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zbMATH Keywords

explicit parallelizable peer methods

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TASE-RK and TASE-peer methods

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stiff differential equations

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exponential integrators

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describes a project that uses

phipm

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Algorithm 919

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cnsns.2023.107136

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cites work

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Two-step peer methods with equation-dependent coefficients

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W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs

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Partially implicit peer methods for the compressible Euler equations

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Error propagation for implicit-explicit general linear methods

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Exponentially fitted IMEX methods for advection-diffusion problems

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Extrapolation-based implicit-explicit general linear methods

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Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part

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Numerical search for algebraically stable two-step almost collocation methods

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Numerical preservation of long-term dynamics by stochastic two-step methods

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Simple bespoke preservation of two conservation laws

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Time-accurate and highly-stable explicit operators for stiff differential equations

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A note on the stability of time-accurate and highly-stable explicit operators for stiff differential equations

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On Order Reduction for Runge–Kutta Methods Applied to Differential/Algebraic Systems and to Stiff Systems of ODEs

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Implications of order reduction for implicit Runge-Kutta methods

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Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations

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Q3562881

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On the derivation of explicit two-step peer methods

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Strong stability preserving explicit peer methods

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Optimally zero stable explicit peer methods with variable nodes

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Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods

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Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation

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Parameter optimization for explicit parallel peer two-step methods

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Variable-stepsize doubly quasi-consistent parallel explicit peer methods with global error control

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Operations on oscillatory functions

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Q4679151

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Adapted explicit two-step peer methods

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Exponentially fitted two-step peer methods for oscillatory problems

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Contributions to the mathematics of the nonstandard finite difference method and applications

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Nonstandard finite differences numerical methods for a vegetation reaction-diffusion model

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Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition

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Exponential Runge–Kutta Methods for Stiff Kinetic Equations

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Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

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Exponential integrators

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Explicit exponential Runge-Kutta methods of high order for parabolic problems

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Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems

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Exponential peer methods

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Exponential time differencing for stiff systems

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On Krylov Subspace Approximations to the Matrix Exponential Operator

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Efficient computation of phi-functions in exponential integrators

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Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals

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Algorithm 919

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Explicit two-step peer methods

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Parallel Two-Step W-Methods with Peer Variables

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Implicit parallel peer methods for stiff initial value problems

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Multi-implicit peer two-step W-methods for parallel time integration

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Parallel `peer' two-step W-methods and their application to MOL-systems.

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Q3254327

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A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.

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Numerical Methods for Ordinary Differential Equations

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Metastability as a coexistence mechanism in a model for dryland vegetation patterns

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Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme

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Identifiers

DOI

10.1016/j.cnsns.2023.107136

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2685817