Properties of Runge-Kutta-summation-by-parts methods
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Publication:2125452
DOI10.1016/j.jcp.2020.109684OpenAlexW3039534546MaRDI QIDQ2125452
Viktor Linders, Jan Nordström, Steven H. Frankel
Publication date: 14 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109684
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Uses Software
Cites Work
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- Summation-by-parts in time
- Review of summation-by-parts schemes for initial-boundary-value problems
- The SBP-SAT technique for initial value problems
- A generalized framework for nodal first derivative summation-by-parts operators
- Summation-by-parts operators and high-order quadrature
- A new approach to optimal B-convergence
- B-convergence of Lobatto IIIC formulas
- Stable and accurate artificial dissipation
- On the relation between algebraic stability and B-convergence for Runge- Kutta methods
- On the unique solvability of the Runge-Kutta equations
- A stable and high-order accurate conjugate heat transfer problem
- A necessary condition for BSI-stability
- Monotonicity and boundedness in implicit Runge-Kutta methods
- Characterization of B-convergent Runge-Kutta methods for strictly dissipative initial value problems
- Algebraic characterization of \(A\)-stable Runge-Kutta methods
- Sur la B-stabilité des méthodes de Runge-Kutta
- A note on B-stability of Runge-Kutta methods
- S-stability properties for generalized Runge-Kutta methods
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- High order finite difference approximations of electromagnetic wave propagation close to material discontinuities
- Passive Runge-Kutta methods -- properties, parametric representation, and order conditions
- On pseudo-spectral time discretizations in summation-by-parts form
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- Well-posed and stable transmission problems
- Diagonal-norm upwind SBP operators
- A roadmap to well posed and stable problems in computational physics
- Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
- Some notes on summation by parts time integration methods
- On the convergence rates of energy-stable finite-difference schemes
- Summation-by-parts operators for correction procedure via reconstruction
- Spectral methods on arbitrary grids
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators
- Stiffly accurate Runge–Kutta methods for nonlinear evolution problems governed by a monotone operator
- Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems
- Non-linear stability of a general class of differential equation methods
- The Concept of B-Convergence
- On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
- A stability property of implicit Runge-Kutta methods
- Stability Criteria for Implicit Runge–Kutta Methods
- Model Problems in Numerical Stability Theory for Initial Value Problems
- Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
- Energy stable boundary conditions for the nonlinear incompressible Navier–Stokes equations
- On the order of Accuracy of Finite Difference Operators on Diagonal Norm Based Summation-by-Parts Form
- A special stability problem for linear multistep methods
- Finite volume approximations and strict stability for hyperbolic problems
