On one class of high-order compact grid-characteristic schemes for linear advection
DOI10.1515/rnam-2016-0033zbMath1355.65112OpenAlexW2561131237WikidataQ56746196 ScholiaQ56746196MaRDI QIDQ503592
Nikolay I. Khokhlov, Igor B. Petrov
Publication date: 13 January 2017
Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/rnam-2016-0033
convergencenumerical examplediscontinuous solutionslinear advection equationcompact difference schemesmonotone methodsgrid-characteristic methods
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial-boundary value problems for first-order hyperbolic equations (35L04)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The compact CIP (cubic-interpolated pseudo-particle) method as a general hyperbolic solver
- WENO schemes based on upwind and centred TVD fluxes
- Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
- Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme.
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- Construction of monotone difference schemes for systems of hyperbolic equations
- Efficient implementation of weighted ENO schemes
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- TVD fluxes for the high-order ADER schemes
- Monotone compact running schemes for systems of hyperbolic equations
- The construction of difference schemes for hyperbolic equations based on characteristic relations
- On nonlinear partial differential equations with two independent variables
This page was built for publication: On one class of high-order compact grid-characteristic schemes for linear advection