Chebyshev--Legendre Spectral Viscosity Method for Nonlinear Conservation Laws
From MaRDI portal
Publication:4389158
DOI10.1137/S0036142995293900zbMath0912.35104OpenAlexW4234949994MaRDI QIDQ4389158
Publication date: 12 May 1998
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142995293900
Hyperbolic conservation laws (35L65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items
Multidomain Legendre-Galerkin Chebyshev collocation least squares method for one-dimensional problems with two nonhomogeneous jump conditions, Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem, Approximate solution of the Sturm-Liouville problems with Legendre-Galerkin-Chebyshev collocation method, Numerical solution for a class of parabolic integro-differential equations subject to integral boundary conditions, Spectral convergence for orthogonal polynomials on triangles, Spectral viscosity method with generalized Hermite functions for nonlinear conservation laws, The Legendre-Burgers equation: when artificial dissipation fails, Error analysis of Chebyshev-Legendre pseudo-spectral method for a class of nonclassical parabolic equation, Application of modal filtering to a spectral difference method, Fractional Burgers equation with nonlinear non-locality: spectral vanishing viscosity and local discontinuous Galerkin methods, Optimal error estimates of the Legendre tau method for second-order differential equations, An operator splitting Legendre-tau spectral method for Maxwell's equations with nonlinear conductivity in two dimensions, A Legendre–Galerkin Chebyshev collocation method for the Burgers equation with a random perturbation on boundary condition, A space-time spectral method for solving the nonlinear Klein-Gordon equation, A Legendre Petrov-Galerkin method for fourth-order differential equations, A time multidomain spectral method for valuing affine stochastic volatility and jump diffusion models, Optimal error estimate of Chebyshev-Legendre spectral method for the generalised Benjamin-Bona-Mahony-Burgers equations, Chebyshev-Legendre pseudo-spectral method for the generalised Burgers-Fisher equation, A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds, A spectral viscosity method for correcting the long-term behavior of POD models., Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators, Modal spectral element method in curvilinear domains, Chebyshev-Legendre method for discretizing optimal control problems, Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations, Spectral methods for hyperbolic problems, A spectral element method using the modal basis and its application in solving second‐order nonlinear partial differential equations, The Chebyshev–Legendre collocation method for a class of optimal control problems, Preconditioning on high-order element methods using Chebyshev-Gauss-Lobatto nodes, Chebyshev‐Legendre spectral method for solving the two‐dimensional vorticity equations with homogeneous Dirichlet conditions, Super spectral viscosity method for nonlinear conservation laws, Numerical convergence study of nearly incompressible, inviscid Taylor-Green vortex flow, A spectral vanishing viscosity method for large eddy simulations, An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics, Legendre-Petrov-Galerkin Chebyshev spectral collocation method for second-order nonlinear differential equations, Continuum and discrete initial-boundary value problems and Einstein's field equations
