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Some 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.