Numerical Solution of Partial Differential Equations: Theory, Tools and Case Studies: Summer Seminar Series Held at CSIR, Pretoria, February 8–10, 1982
Dr. D. P. Laurie
Springer Verlag Ny, 1983 - Juvenile Nonfiction - 341 pages
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accuracy algorithm analysis applied approach approximation assume basis functions boundary conditions boundary-value problems bounded Chapter coefficients computational conjugate conservation laws consider consistency constant construct continuity convergence corresponding curved defined definite denotes depends derivatives described difference scheme direct Dirichlet discrete discussion domain eigenvalues elliptic energy equivalent error estimate example exist explicit expressed fact factorization finite difference finite element method formula Galerkin given gives gradient grid heat implicit important initial integration interpolation involving iterative leads linear matrix means Neumann nodes nonlinear norm notation Note numerical obtain operator parabolic partial differential equations partitioning polynomial positive prediction pressure primitive problem properties reader referred respectively satisfied scheme sense shows side simple solution solving space stability step theorem tion transform usually valid variational vertical wave well-posedness zero