Numerical solution of partial differential equations : an introduction / K.W. Morton, D.F. Mayers
Contributor(s): Mayers, D. F | Mayers, D.F.Material type: Book; Format: print Publisher: Cambridge : Cambridge University Press, 2005Edition: 2nd ed.Description: 278 p. ; 23 cm.ISBN: 0-521-60793-0.Subject(s): Ecuaciones diferenciales -- Soluciones numéricas | Ecuaciones en derivadas parciales | Matemáticas -- Ecuaciones diferenciales
|Item type||Home library||Call number||Status||Loan||Date due||Barcode||Item holds||Course reserves|
|Manuales (7 días)||02. BIBLIOTECA CAMPUS PUERTO REAL||517.9/MOR/num (Browse shelf)||Available Shelving location | Bibliomaps®||PREST. LIBROS||3741070819|
|Monografías||02. BIBLIOTECA CAMPUS PUERTO REAL||517.9/MOR/num (Browse shelf)||Available Shelving location | Bibliomaps®||PREST. LIBROS||3741070828|
This is the second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods. and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text brings the reader up-to-date with the latest theoretical and industrial developments.
Índice: Introduction. Parabolic equations in one space variable..-D and.-Dparabolic equations. Hyperbolic equations in one space dimension. Consistency, convergence and stability. Linear second order elliptic equations in two dimensions. Iterative solution of linear algebraic equations. Bibliography. Index.