A robust second-order Godunov-type method for Burgers' equation
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Publication:2144726
DOI10.1007/s40819-021-01171-7OpenAlexW4220870022MaRDI QIDQ2144726
Publication date: 14 June 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-021-01171-7
Burgers' equationsecond-order accuracyhyperbolic conservation lawGodunov's methodfinite-volumeTVD method
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Cites Work
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- The piecewise parabolic method (PPM) for gas-dynamical simulations
- Flux-corrected transport. II: Generalizations of the method
- Flux-corrected transport. III: Minimal-error FCT algorithms
- Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow
- Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Ion acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equation in quantum plasma
- On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe
- A Geometric Approach to High Resolution TVD Schemes
- Finite Volume Methods for Hyperbolic Problems
- Towards the ultimate conservative difference scheme I. The quest of monotonicity
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
- Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works