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Properties of Runge-Kutta-summation-by-parts methods (Q2125452)

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Language	Label	Description	Also known as
English	Properties of Runge-Kutta-summation-by-parts methods	scientific article

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scholarly article

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Properties of Runge-Kutta-summation-by-parts methods (English)

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Steven H. Frankel

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Journal of Computational Physics

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publication date

14 April 2022

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zbMATH Keywords

SBP in time

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Runge-Kutta methods

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stiff accuracy

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dissipative stability

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B-convergence

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S-stability

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describes a project that uses

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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.jcp.2020.109684

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Summation-by-parts in time

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Finite volume approximations and strict stability for hyperbolic problems

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Finite volume methods, unstructured meshes and strict stability for hyperbolic problems

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Spectral methods on arbitrary grids

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A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods

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Summation-by-parts operators for correction procedure via reconstruction

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High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators

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Summation by parts for finite difference approximations for \(d/dx\)

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A generalized framework for nodal first derivative summation-by-parts operators

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Diagonal-norm upwind SBP operators

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The SBP-SAT technique for initial value problems

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Stable and accurate artificial dissipation

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Well-posed and stable transmission problems

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Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes

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Summation-by-parts operators and high-order quadrature

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On the order of Accuracy of Finite Difference Operators on Diagonal Norm Based Summation-by-Parts Form

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On the convergence rates of energy-stable finite-difference schemes

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Some notes on summation by parts time integration methods

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Passive Runge-Kutta methods -- properties, parametric representation, and order conditions

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A special stability problem for linear multistep methods

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Algebraic characterization of \(A\)-stable Runge-Kutta methods

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On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations

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S-stability properties for generalized Runge-Kutta methods

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A roadmap to well posed and stable problems in computational physics

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Review of summation-by-parts schemes for initial-boundary-value problems

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Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations

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Energy stable boundary conditions for the nonlinear incompressible Navier–Stokes equations

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Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems

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Monotonicity and boundedness in implicit Runge-Kutta methods

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Model Problems in Numerical Stability Theory for Initial Value Problems

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A stability property of implicit Runge-Kutta methods

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Stability Criteria for Implicit Runge–Kutta Methods

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A note on B-stability of Runge-Kutta methods

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Sur la B-stabilité des méthodes de Runge-Kutta

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The Concept of B-Convergence

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On the relation between algebraic stability and B-convergence for Runge- Kutta methods

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Characterization of B-convergent Runge-Kutta methods for strictly dissipative initial value problems

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A stable and high-order accurate conjugate heat transfer problem

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High order finite difference approximations of electromagnetic wave propagation close to material discontinuities

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B-convergence of Lobatto IIIC formulas

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Non-linear stability of a general class of differential equation methods

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A necessary condition for BSI-stability

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A new approach to optimal B-convergence

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Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems

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Stiffly accurate Runge–Kutta methods for nonlinear evolution problems governed by a monotone operator

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On the unique solvability of the Runge-Kutta equations

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On pseudo-spectral time discretizations in summation-by-parts form

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Identifiers

10.1016/j.jcp.2020.109684

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2125452

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