Author | Peyret, Roger. author |
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Title | Spectral Methods for Incompressible Viscous Flow [electronic resource] / by Roger Peyret |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2002 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-6557-1 |
Descript | XII, 434 p. online resource |
I Basic spectral methods -- 1 Fundamentals of spectral methods -- 2 Fourier Method -- 3 Chebyshev method -- 4 Time-dependent equations -- II. Navier-Stokes equations -- 5 Navier-Stokes equations for incompressible fluids -- 6 Vorticity-Streamfunction Equations -- 7 Velocity-Pressure Equations -- III Special topics -- 8 Stiff and singular problems -- 9 Domain Decomposition Method -- Appendix A Formulas on Chebyshev polynomials -- A.1 Definition and general properties -- A.2 Differentiation -- A.3 Collocation points -- A.4 Truncated series expansion -- A.5 Lagrange interpolation polynomial -- A.6 Derivatives at Gauss-Lobatto points -- A.7 Integration -- A.8 Numerical integration based on Gauss-Lobatto points -- Appendix B Solution of a quasi-tridiagonal system -- Appendix C Theorems on the zeros of a polynomial -- References