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Spectral methods for time dependent partial differential equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Gottlieb, D. Turkel, E. |
| Copyright Year | 1983 |
| Description | The theory of spectral methods for time dependent partial differential equations is reviewed. When the domain is periodic Fourier methods are presented while for nonperiodic problems both Chebyshev and Legendre methods are discussed. The theory is presented for both hyperbolic and parabolic systems using both Galerkin and collocation procedures. While most of the review considers problems with constant coefficients the extension to nonlinear problems is also discussed. Some results for problems with shocks are presented. |
| File Size | 1344706 |
| Page Count | 56 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19840002769 |
| Archival Resource Key | ark:/13960/t82k18h0w |
| Language | English |
| Publisher Date | 1983-10-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Boundary Value Problems Nonlinear Equations Legendre Functions Fourier Analysis Iteration Time Dependence Collocation Spectrum Analysis Problem Solving Chebyshev Approximation Galerkin Method Polynomials Compressible Flow Hyperbolic Differential Equations Parabolic Differential Equations Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |