Research Catalog

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

Title
Numerical solution of nonlinear elliptic problems via preconditioning operators : theory and practice / I. Faragó and J. Karátson.
Author
Faragó, I. (István)
Publication
New York : Nova Science, 2002.

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Additional Authors
Karátson, J. (János)
Description
xviii, 402 pages : illustrations; 27 cm
Subject
  • Nonlinear boundary value problems > Numerical solutions
  • Elliptic operators
Bibliography (note)
  • Includes bibliographical references (p. [381]-398) index.
Contents
I. Motivation -- 1. Nonlinear elliptic equations in model problems -- 2. Linear algebraic systems -- 3. Linear elliptic problems -- 4. Nonlinear algebraic systems and preconditioning -- II. Theoretical background -- 5. Nonlinear equations in Hilbert space -- 6. Solvability of nonlinear elliptic problems -- III. Iterative solution of nonlinear elliptic boundary value problems -- 7. Iterative methods in Sobolev space -- 8. Preconditioning strategies for discretized nonlinear elliptic problems based on preconditioning operators -- 9. Algorithmic realization of iterative methods based on preconditioning operators -- 10. Some numerical algorithms for nonlinear elliptic problems in physics -- 11. Appendix.
ISBN
1590333764
LCCN
2002026470
OCLC
  • ocm50064491
  • SCSB-4322570
Owning Institutions
Columbia University Libraries