Optimized weighted essentially nonoscillatory third-order schemes for hyperbolic conservation laws

DOI10.1155/2013/428681zbMath1275.65047OpenAlexW2148847431WikidataQ59005947 ScholiaQ59005947MaRDI QIDQ364372

A. R. Appadu, Arshad Ahmud Iqbal Peer

Publication date: 9 September 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/428681

zbMATH Keywords

convergencenumerical examplesnumerical experimentshyperbolic conservation lawslinear advection equationBurger's equationweighted essentially nonoscillatory schemeCourant-Friedrichs-Lewy condition numbers

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) 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) First-order hyperbolic equations (35L02)

Related Items (7)

Out-of-plane elastic waves in 2D models of solids: a case study for a nonlocal discretization scheme with reduced numerical dispersion ⋮ Decatic B‐spline collocation scheme for approximate solution of Burgers' equation ⋮ A multiple‐relaxation‐time lattice Boltzmann model for Burgers equation ⋮ A new numerical approximation method for two-dimensional wave equation with Neumann damped boundary ⋮ Optimizing computational high-order schemes in finite volume simulations using unstructured mesh and topological data structures ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ Three-level order-adaptive weighted essentially non-oscillatory schemes

Uses Software

• SHASTA

Cites Work

• Higher order monotonic convective difference schemes
• Weighted essentially non-oscillatory schemes
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Multisymplectic box schemes and the Korteweg-de Vries equation.
• A method for reducing dispersion in convective difference schemes
• Some applications of the concept of minimized integrated exponential error for low dispersion and low dissipation
• A weighted ENO-flux limiter scheme for hyperbolic conservation laws
• The concept of minimized integrated exponential error for low dispersion and low dissipation schemes
• Composite Schemes for Conservation Laws
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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