Non-oscillatory methods for relaxation approximation of Hamilton-Jacobi equations

DOI10.1016/j.amc.2006.05.066zbMath1105.65344OpenAlexW2082370547MaRDI QIDQ864755

Mohammed Seaid, Mapundi Kondwani Banda

Publication date: 13 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.066

zbMATH Keywords

numerical resultsHamilton-Jacobi equationsrelaxation approximationimplicit-explicit methodsWENO reconstructionnon-oscillatory schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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A relaxation scheme for a multi-class Lighthill-Whitham-Richards traffic flow model

Cites Work

• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• Asymptotic-preserving schemes for unsteady flow simulations
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• Variants of relaxed schemes and two-dimensional gas dynamics
• Resolution of high order WENO schemes for complicated flow structures.
• Efficient implementation of weighted ENO schemes
• Multi-phase computations in geometrical optics
• Strong Stability-Preserving High-Order Time Discretization Methods
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• Numerical Passage from Systems of Conservation Laws to Hamilton--Jacobi Equations, and Relaxation Schemes
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Relaxation schemes for curvature-dependent front propagation
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• High-Resolution Nonoscillatory Central Schemes for Hamilton--Jacobi Equations
• Non-oscillatory relaxation methods for the shallow-water equations in one and two space dimensions
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• High‐resolution relaxation scheme for the two‐dimensional Riemann problems in gas dynamics
• Higher-order relaxation schemes for hyperbolic systems of conservation laws
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