Description

Book Synopsis
This 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 Contents
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.

Introduction to Scientific Computing

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    A Paperback / softback by Brigitte Lucquin, Olivier Pironneau

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      Book details

      Publisher John Wiley & Sons Inc
      Published 29 January 1998
      ISBN-13 9780471972662
      978-0471972662
      ISBN-10 0471972665
      Also in:
      Mathematical theory of computation Scientific equipment, experiments and techniques Mechanical engineering and materials

      Description

      Book Synopsis
      This 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 Contents
      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.

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