Spectral Methods for Incompressible Viscous Flow
This book provides a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incompressible viscous flows, based on the Navier-Stokes equations. The book is in three parts. The first part presents the fundamentals of the
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Springer Science+Business Media, LLC
Applied Mathematical Sciences 1. John: Partial Differential Equations, 4th ed.
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2. Sirovich: Techniques of Asymptotic Analysis. 3. Hale: Theory of Functional Differential Equations,
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2nded.
4. Percus: Combinatorial Methods.
5. von MiseslFriedrichs: Fluid Dynamics. 6. Freiberger/Grenander: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 8. Giacaglia: Pertwbation Methods in Non-linear Systems. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. 10. Stroud: Numerical Quadrature. and Solution of Ordinary Differential Equations. 11. Wolovich: Linear Multivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. BlumaniCole: Similarity Methods for Differential Equations. 14. Yoshizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. 15. Braun: Differential Equations and Their Applications, 3rd ed. 16. Lefschetz: Applications of Algebraic Topology. 17. CollatllWetterling: Optimization Problems. 18. Grenander: Pattern Synthesis: Lectures in Pattern Theory, Vol. I. 19. MarsdenIMcCracken: HopfBifurcation and Its Applications. 20. Driver: Ordinary and Delay Differential Equations. 21. CourantlFriedrichs: Supersonic Flow and Shock Waves. 22. RouchelHabetslLa/oy: Stability Theory by Liapunov's Direct Method. 23. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory. 24. Grenander: Pattern Analysis: Lectures in Pattern Theory, Vol. n. 25. Davies: Integral Transforms and Their Applications, 2nd ed. 26. Kushner/Clark: Stochastic Approximation Methods for Constrained and Unconstrained Systems. 27. de Boor: A Practical Guide to Splines, Rev. eel. 28. Keilson: Markov Cbain Models-Rarity and Exponentiality. 29. de Veubeke: A Course in Elasticity. 30. Sniatycki: Geometric Quantization and Quantum Mechanics. 31. Reid: Stunnian Theory for Ordinary Differential Equations. 32. MeisIMarkowitz: Numerical Solution of Partial Differential Equations.
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Grenander: Regular Structures: Lectures in Pattern Theory, Vol. ill. Kevorkian/Cole: Perturbation Methods in Applied Mathematics. Carr: Applications of Centre Manifold Theory. BengtssonIGhiVKiilMn: Dynamic Meteorology: Data Assimilation Methods. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. Uchtenberg/Lieberman: Regular and Chaotic Dynamics, 2nd ed. PiccinVStampacchiaIVidossich: Ordinary Differential Equations in RD. NaylarlSel/: Linear Operator Theory in Engineering and Science. Sparrow: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. GuckenheimerlHolmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. OckendonITaylor: Inviscid Fluid Flows. Par.y: Semigroups of Linear Operators and Applications to Partial Differential Equations. GlashofflGustafson: Linear Operations and Approximation: An Introduction to the Theoretical Analysis and Numerical Treatment
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