Research Catalog

Title

Computational solution of nonlinear systems of equations / Eugene L. Allgower, Kurt Georg, editors.

Publication

Providence, R.I. : American Mathematical Society, 1990.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Allgower, E. L. (Eugene L.)
• Georg, Kurt.
• National Science Foundation (U.S.)
• SIAM-AMS Summer Seminar on Computational Solution of Nonlinear Systems of Equations (1988 : Colorado State University)
• United States. Air Force. Office of Scientific Research.

Description

xv, 762 p. : ill.; 24 cm.

Series Statement

Lectures in applied mathematics, 0075-8485 ; v. 26

Uniform Title

Lectures in applied mathematics (American Mathematical Society) ; v. 26.

Subject

Differential equations, Nonlinear > Data processing > Congresses

Genre/Form

Conference papers and proceedings

Note

• Proceedings of the 1988 SIAM-AMS Summer Seminar on Computational Solution of Nonlinear Systems of Equations, which was held July 18-29, 1988 at Colorado State University, Ft. Collins, Colorado with the support of the Air Force Office of Research and the National Science Foundation under grant no. DMS-8714141.

Bibliography (note)

• Includes bibliographical references.

Processing Action (note)

• committed to retain

Contents

• 1. Numerically stable homotopy methods without an extra dimension / Eugene L. Allgower and Kurt Georg -- 2. Duality algorithms for smooth unconstrained optimization / Giles Auchmuty -- 3. Antidotes for nonintegrability of nonlinear systems: quasi-periodic motions / M.S. Berger -- 4. bifurcation into folds of infinite dimension / M.S. Berger -- 5. On the geometry of factorization algorithms / Sharon L. Blish and James H. Curry -- 6. Defect corrections and mesh independence principle for operator equations and their discretizations / Klaus Bohmer -- 7. On a numerical Lyaponov-Schmidt method / Klaus Bohmer and Mei Zhen -- 8. PL approximation of manifolds and its application to implicit ODEs / A. Castelo, S. De Freitas, and G. Tavares -- 9. On characterizations of superlinear convergence for constrained optimization / Thomas F. Coleman.
• 10. Computation of solutions of two-point boundary value problems by a simplicial homotopy algorithm / Jeanne Duvallet -- 11. Computational methods for nonlinear systems of partial differential equations arising in contaminat transport in porous media / Richard E. Ewing -- 12. Low storage methods for unconstrained optimization / R. Fletcher -- 13. Block ABS methods for nonlinear systems of algebraic equations / A. Galantai -- 14. Application of Julia-Fatou iteration theory in dielectric spectroscopy / Sylvie Gelinas and Remi Vaillancourt -- 15. An introduction to PL algorithms / Kurt Georg -- 16. Nonlinear convection diffusion equations and Newton-like methods / Kurt Georg and David Zachman -- 17. Convergence of the Newton-Raphson method for boundary value problems of ordinary differential equations / Ronald B. Guenther and John W. Lee.
• 18. Convergence of the Newton-Raphson method for boundary value problems of ordinary differential equations / Ronald B. Guenther and John W. Lee -- 19. Some superlinearly convergent methods for solving singular nonlinear equations / Annegret Hoy and Hubert Schwetlick -- 20. Numerical solutions of some nonlinear dispersive wave equations / John K. Hunter -- 21. Parametric optimization: critical points and local minima / H. Th. Jongen -- 22. Interval arithmetic techniques in the computational solution of nonlinear systems of equations: introductions, examples, and comparisons / R. Baker Kearfott -- 23. Operator prolongation methods for nonlinear equations / C.T. Kelley -- 24. Smooth penalty functions and continuation methods for constrained optimization / Bruce N. Lundberg, Aubrey B. Poore, and Bing Yang.
• 25. Application of the fast adaptive composite grid method to nonlinear partial differential equations / S. McKay and J.W. Thomas -- 26. Interactive program for continuation of solutions of large systems of nonlinear equations / Raymond Meija -- 27. Nonlinear parametrized equations: new results for variational problems and inequalities / Hans D. Mittelmann -- 28. Generically nonsingular polynomial continuation / Alexander P. Morgan and Andrew J. Sommese -- 29. Polynomial continuation for mechanism design problems / Alexander P. Morgan, Andrew J. Sommese, and Charles W. Wampler -- 30. A Lagrangian method for collisional kinetic equations / G. Russo -- 31. On the number of solutions of semilinear elliptic problems at resonance: some numerical experiments / Renate Schaaf and Klaus Schmitt -- 32. Splitting of sepatrices and chaos / Jurgen Scheurle.
• 33. PL methods for constructing a numerical implicit function / Phillip H. Schmidt -- 34. Nonstandard scaling matrices in trust region methods / Hubert Schwetlick -- 35. Numerical determination of breathers and forced oscillations of nonlinear wave equations / Michael W. Smiley -- 36. Numerical solutions of singular stochastic control problems in bounded intervals / Min Sun -- 37. Large least-squares problems and the need for automating the generation of adjoint codes / W.C. Thacker -- 39. Newton-like methods for undetermined systems / Homer F. Walker -- 40. Sard's theorem and its improved versions in numerical analysis / Y. Yomdin -- 41. Finite difference approximation of sparse Jacobian matrices in Newton-like methods / Tjalling P. Ypma -- 42. A collection of nonlinear model problems / Jorge J. More.

ISBN

0821811312

LCCN

^^^90000027^

Owning Institutions

Harvard Library