A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods
type: Item
instance of: scholarly article
title: A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods
author: Youngjun Lee
author: Dong-Wook Lee
published in: Journal of Computational Physics
publication date: 2022-04-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/2006.00096
Mathematics Subject Classification ID: 76-XX
Mathematics Subject Classification ID: 78-XX
zbMATH DE Number: 7510249
zbMATH Keywords: Picard integration formulation
zbMATH Keywords: Jacobian-free
zbMATH Keywords: Hessian-free
zbMATH Keywords: Cauchy-Kowalewski procedure
zbMATH Keywords: high-order method
zbMATH Keywords: finite difference method
cites work: MOOD
cites work: The piecewise parabolic method (PPM) for gas-dynamical simulations
cites work: Efficient implementation of weighted ENO schemes
cites work: Total variation diminishing Runge-Kutta schemes
cites work: Strong stability-preserving high-order time discretization methods
cites work: Q3059670
cites work: Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
cites work: High-order conservative finite difference GLM-MHD schemes for cell-centered MHD
cites work: A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
cites work: Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods
cites work: Two barriers on strong-stability-preserving time discretization methods
cites work: On the optimal CFL number of SSP methods for hyperbolic problems
cites work: Towards very high order Godunov schemes
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
cites work: A second-order Godunov-type scheme for compressible fluid dynamics
cites work: Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
cites work: ADER: Arbitrary high-order Godunov approach
cites work: ADER schemes for three-dimensional non-linear hyperbolic systems
cites work: A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
cites work: Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
cites work: Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods
cites work: ADER-WENO finite volume schemes with space-time adaptive mesh refinement
cites work: A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
cites work: Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials
cites work: The Multidimensional Optimal Order Detection method in the three‐dimensional case: very high‐order finite volume method for hyperbolic systems
cites work: Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws
cites work: A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
cites work: Algorithmic improvements for schemes using the ADER time discretization
cites work: A WENO-limited, ADER-DT, finite-volume scheme for efficient, robust, and communication-avoiding multi-dimensional transport
cites work: A fifth-order finite difference scheme for hyperbolic equations on block-adaptive curvilinear grids
cites work: A variable high-order shock-capturing finite difference method with GP-WENO
cites work: Multistep-multistage-multiderivative methods for ordinary differential equations
cites work: High-order multiderivative time integrators for hyperbolic conservation laws
cites work: The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes
cites work: An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations
cites work: Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations
cites work: An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
cites work: Q5558541
cites work: The piecewise cubic method (PCM) for computational fluid dynamics
cites work: Hybrid Krylov Methods for Nonlinear Systems of Equations
cites work: Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
cites work: Iterative Solution of Linear Equations in ODE Codes
cites work: On finite difference approximation of a matrix-vector product in the Jacobian-free Newton-Krylov method
cites work: Determining the effective resolution of advection schemes. part I: dispersion analysis
cites work: Determining the effective resolution of advection schemes. Part II: numerical testing
cites work: A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
cites work: The numerical simulation of two-dimensional fluid flow with strong shocks
cites work: Q4247279
cites work: Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
cites work: Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
cites work: Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
cites work: Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
cites work: Improved accuracy of high-order WENO finite volume methods on Cartesian grids
cites work: Hybrid compact-WENO finite difference scheme with conjugate Fourier shock detection algorithm for hyperbolic conservation laws
cites work: A unified coordinate system for solving the two-dimensional Euler equations
cites work: Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
cites work: On the proper setup of the double Mach reflection as a test case for the resolution of gas dynamics codes
cites work: A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
cites work: Shock-capturing methods for free-surface shallow flows
cites work: Numerical solution of the two-dimensional shallow water equations by the application of relaxation methods
describes a project that uses: MOOD
describes a project that uses: Athena
describes a project that uses: ECHO

A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods (describes a project that uses)
describes a project that uses: RIEMANN

A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods (MaRDI profile type)
MaRDI profile type: Publication

A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods (OpenAlex ID)
OpenAlex ID: W3031379238

A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods (DOI)
DOI: 10.1016/J.JCP.2020.110063