Numerical solution of nonlinear elliptic problems via preconditioning operators : theory and applications

著者

    • Faragó, I. (István)
    • Karátson, J. (János)

書誌事項

Numerical solution of nonlinear elliptic problems via preconditioning operators : theory and applications

I. Faragó and J. Karátson

（Advances in computation: theory and practice, v. 11）

Nova Science Publishers, c2002

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注記

Includes bibliographical references (p. [381]-398) and index

内容説明・目次

内容説明

Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators - Theory & Applications

目次

  • Contents: MOTIVATION -- Non-linear elliptic equations in model problems
  • Linear algebraic systems
  • Linear elliptic problems
  • Non-linear algebraic systems and preconditioning. THEORETICAL BACKGROUND -- Non-linear equations in Hilbert space
  • Solvability of non-linear elliptic problems. ITERATIVE SOLUTION OF NON-LINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS -- Iterative methods in Sobolev space
  • Preconditioning strategies for discretise non-linear elliptic problems based on preconditioning operators
  • Algorithmic realisation of iterative methods based on pre-conditioning operators
  • Some numerical algorithms for non-linear elliptic problems in physics
  • Appendix
  • Index.

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