Hyperviscous shock layers and diffusion zones: Monotonicity, spectral viscosity, and pseudospectral methods for very high order differential equations
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Publication:1332397
DOI10.1007/BF01573179zbMath0845.76066OpenAlexW1992246551MaRDI QIDQ1332397
Publication date: 15 September 1996
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01573179
artificial viscosityFourier pseudospectral methodFourier integralmethod of steepest descenthyper-Burgers equationhyperdiffusion equationpolynomial subtraction
Diffusion (76R50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
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- Unnamed Item
- Travelling wave solutions of the Kuramoto-Sivashinsky equation
- Shock capturing by the spectral viscosity method
- Chebyshev domain truncation is inferior to Fourier domain truncation for solving problems on an infinite interval
- Perturbation methods in applied mathematics
- The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
- The modified equation approach to the stability and accuracy analysis of finite-difference methods
- The calculation of trigonometric Fourier coefficients
- Essentially Nonoscillatory Spectral Fourier Method for Shocks Wave Calculations
- Convergence of Spectral Methods for Nonlinear Conservation Laws
- Analysis of the Spectral Vanishing Viscosity Method for Periodic Conservation Laws
- Models of Difference Schemes for u t + u x = 0 by Partial Differential Equations
- Adjusted Forms of the Fourier Coefficient Asymptotic Expansion and Applications in Numerical Quadrature
- A table of solutions of the one-dimensional Burgers equation
- The Rate of Convergence of Spectral-Viscosity Methods for Periodic Scalar Conservation Laws