Generalized Summation by Parts Operators: Second Derivative and Time-Marching Methods
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Publication:2831200
DOI10.1007/978-3-319-19800-2_17zbMath1352.65078OpenAlexW2312677017MaRDI QIDQ2831200
Pieter D. Boom, David W. Zingg, David C. Del Rey Fernández
Publication date: 2 November 2016
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_17
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical differentiation (65D25)
Cites Work
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- Summation-by-parts in time
- A solution to the stability issues with block norm summation by parts operators
- 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
- 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
- Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs. I
- Stable and accurate schemes for the compressible Navier-Stokes equations
- Spectral methods on arbitrary grids
- Time-Dependent Problems and Difference Methods
- Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations
- High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators
- Generalized Summation-by-Parts Operators for the Second Derivative
- Initial-Boundary Value Problems and the Navier-Stokes Equations
- High Order Difference Methods for Time Dependent PDE
- Implicit Runge-Kutta Processes
