A recursive system-free single-step temporal discretization method for finite difference methods (Q6184055)

scientific article; zbMATH DE number 7783828

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English	A recursive system-free single-step temporal discretization method for finite difference methods	scientific article; zbMATH DE number 7783828

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instance of

scholarly article

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title

A recursive system-free single-step temporal discretization method for finite difference methods (English)

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Journal of Computational Physics: X

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publication date

5 January 2024

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full work available at URL

https://arxiv.org/abs/2103.00414

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zbMATH Keywords

Picard integration formulation

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Jacobian-free and Hessian-free

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recursive

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Cauchy-Kowalewski procedure

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high-order method

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finite difference method

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MaRDI profile type

MaRDI publication profile

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cites work

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The numerical simulation of two-dimensional fluid flow with strong shocks

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Efficient implementation of weighted ENO schemes

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An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws

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High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws

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Central WENO schemes for hyperbolic systems of conservation laws

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On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes

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Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.

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Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case

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A variable high-order shock-capturing finite difference method with GP-WENO

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Q2778388

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ADER: Arbitrary high-order Godunov approach

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ADER schemes for three-dimensional non-linear hyperbolic systems

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Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics

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Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods

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Q4925940

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Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes

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Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws

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A simplified Cauchy-Kowalewskaya procedure for the local implicit solution of generalized Riemann problems of hyperbolic balance laws

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Application of differential transformation to eigenvalue problems

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Algorithmic improvements for schemes using the ADER time discretization

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A WENO-limited, ADER-DT, finite-volume scheme for efficient, robust, and communication-avoiding multi-dimensional transport

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The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes

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The piecewise cubic method (PCM) for computational fluid dynamics

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A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods

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Iterative Solution of Linear Equations in ODE Codes

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Hybrid Krylov Methods for Nonlinear Systems of Equations

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Jacobian-free Newton-Krylov methods: a survey of approaches and applications.

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High-order multiderivative time integrators for hyperbolic conservation laws

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An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations

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High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes

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Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations

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On finite difference approximation of a matrix-vector product in the Jacobian-free Newton-Krylov method

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Total variation diminishing Runge-Kutta schemes

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A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods

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A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws

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Divergence-free-preserving high-order schemes for magnetohydrodynamics: an artificial magnetic resistivity method

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Q4247279

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Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems

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Classification of the Riemann Problem for Two-Dimensional Gas Dynamics

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Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics

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Identifiers

arXiv ID

2103.00414

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DOI

10.1016/j.jcpx.2021.100098

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6184055