Cell averaging Chebyshev methods for hyperbolic problems

DOI10.1016/0898-1221(92)90039-KzbMath0764.65056OpenAlexW2007346377MaRDI QIDQ1202484

Amiram Harten, David Gottlieb, Wei Cai

Publication date: 11 February 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(92)90039-k

zbMATH Keywords

stabilitynonlinear systemscollocationspectral methodlinear problemscell averaging Chebyshev methodsshock problem

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order hyperbolic equations (35L15)

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Comparison of deterministic and stochastic methods for time-dependent Wigner simulations ⋮ A cell-averaging Chebyshev spectral method for the controlled Duffing oscillator ⋮ A cell-averaging chebyshev spectral method for nonlinear fredholm-hammerstein integral equations ⋮ State-control spectral Chebyshev parameterization for linearly constrained quadratic optimal control problems ⋮ Numerical solution of time-delayed functional differential equation control systems

Cites Work

• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
• Convergence of Generalized MUSCL Schemes
• Essentially Nonoscillatory Spectral Fourier Method for Shocks Wave Calculations
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