Đang chuẩn bị nút TẢI XUỐNG, xin hãy chờ
Tải xuống
engineering; these methods allow considerable freedom in putting computational elements where you want them, important when dealing with highly irregular geometries. Spectral methods [13-15] are preferred for very regular geometries and smooth functions | 834 Chapter 19. Partial Differential Equations engineering these methods allow considerable freedom in putting computational elements where you want them important when dealing with highly irregular geometries. Spectral methods 13-15 are preferred for very regular geometries and smooth functions they converge more rapidly than finite-difference methods cf. 19.4 but they do not work well for problems with discontinuities. CITED REFERENCES AND FURTHER READING Ames W.F. 1977 Numerical Methods for Partial Differential Equations 2nd ed. New York Academic Press . 1 Richtmyer R.D. and Morton K.W. 1967 Difference Methods forInitial Value Problems 2nd ed. New York Wiley-Interscience . 2 Roache P.J. 1976 Computational Fluid Dynamics Albuquerque Hermosa . 3 Mitchell A.R. and Griffiths D.F. 1980 The Finite Difference Method in Partial Differential Equations New York Wiley includes discussion of finite element methods . 4 Dorr F.W. 1970 SIAM Review vol. 12 pp. 248-263. 5 Meijerink J.A. and van der Vorst H.A. 1977 Mathematics of Computation vol. 31 pp. 148162. 6 van der Vorst H.A. 1981 Journal of Computational Physics vol. 44 pp. 1-19 review of sparse iterative methods . 7 Kershaw D.S. 1970 Journal of Computational Physics vol. 26 pp. 43-65. 8 Stone H.J. 1968 SIAM Journal on Numerical Analysis vol. 5 pp. 530-558. 9 Jesshope C.R. 1979 Computer PhysicsCommunications vol. 17 pp. 383-391. 10 Strang G. and Fix G. 1973 An Analysis of the Finite Element Method Englewood Cliffs NJ Prentice-Hall . 11 Burnett D.S. 1987 Finite Element Analysis From Concepts to Applications Reading MA Addison-Wesley . 12 Gottlieb D. and Orszag S.A. 1977 Numerical Analysis of Spectral Methods Theory and Applications Philadelphia S.I.A.M. . 13 Canuto C. Hussaini M.Y. Quarteroni A. and Zang T.A. 1988 Spectral Methods in Fluid Dynamics New York Springer-Verlag . 14 Boyd J.P. 1989 Chebyshev andFourier SpectralMethods New York Springer-Verlag . 15 19.1 Flux-Conservative Initial Value Problems A large class of .
