A new variational discretization technique for initial value problems bypassing governing equations
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Publication:2683240
DOI10.1016/j.jcp.2023.111942OpenAlexW4317521188MaRDI QIDQ2683240
Alexander Rothkopf, Jan Nordström
Publication date: 10 February 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.14028
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Hyperbolic equations and hyperbolic systems (35Lxx)
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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
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- A roadmap to well posed and stable problems in computational physics
- On long time error bounds for the wave equation on second order form
- Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
- A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions
- Convergence of energy stable finite-difference schemes with interfaces
- Properties of Runge-Kutta-summation-by-parts methods
- Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems
- On the convergence rates of energy-stable finite-difference schemes
- Uniformly best wavenumber approximations by spatial central difference operators
- Summation-by-parts operators for correction procedure via reconstruction
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
- Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems
- Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators
- Summation-By-Parts in Time: The Second Derivative
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms
- Error Bounded Schemes for Time-dependent Hyperbolic Problems
- A Stable Penalty Method for the Compressible Navier–Stokes Equations: I. Open Boundary Conditions
