Modified Essentially Nonoscillatory Schemes Based on Exponential Polynomial Interpolation for Hyperbolic Conservation Laws

DOI10.1137/110848104zbMath1317.65170OpenAlexW1999343275MaRDI QIDQ2840382

Yeon Ju Lee, Youngsoo Ha, Jungho Yoon

Publication date: 18 July 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110848104

zbMATH Keywords

stabilitynumerical exampleerror analysisLagrange interpolationRiemann problemhyperbolic conservation lawsadvection equationEuler systemexponential polynomialsflux functionessentially non-oscillatory finite difference schemedouble Mach shock reflection problem

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Euler-Poisson-Darboux equations (35Q05)

Related Items (12)

A sixth-order weighted essentially non-oscillatory schemes based on exponential polynomials for Hamilton-Jacobi equations ⋮ Development of a WENO scheme based on radial basis function with an improved convergence order ⋮ A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems ⋮ Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter ⋮ A high‐order weighted essentially nonoscillatory scheme based on exponential polynomials for nonlinear degenerate parabolic equations ⋮ A new type of non-polynomial based TENO scheme for hyperbolic conservation laws ⋮ Improving Accuracy of the Fifth-Order WENO Scheme by Using the Exponential Approximation Space ⋮ A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems ⋮ Sixth-order Weighted Essentially Nonoscillatory Schemes Based on Exponential Polynomials ⋮ Numerical solution of multidimensional hyperbolic PDEs using defect correction on adaptive grids ⋮ A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations ⋮ Multiscale polynomial-based high-order central high resolution schemes

This page was built for publication: Modified Essentially Nonoscillatory Schemes Based on Exponential Polynomial Interpolation for Hyperbolic Conservation Laws