Description
Book SynopsisThis book presents the basic scientific computing methods for the solution of partial differential equations (PDEs) as they occur in engineering problems. Programming codes in Fortran and C are included for each problem.
Table of ContentsSome Partial Differential Equations.
PROGRAMMING THE MODEL PROBLEM BY A FINITE ELEMENT METHOD.
Introduction to the Finite Element Method: Energy Minimisation.
Finite Element Method: Variational Formulation and Direct Methods.
Finite Element Method: Optimisation of the Method.
GENERAL ELLIPTIC PROBLEMS AND EVOLUTION PROBLEMS.
Finite Element Method for General Elliptic Problems.
Non-symmetric or Non-linear Partial Differential Equations.
Evolution Problems: Finite Differences in Time.
COMPLEMENTS ON NUMERICAL METHODS.
Integral Methods for the Laplacian.
Some Algorithms for Parallel Computing.
Bibliography.
Index.
