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catalog contributor b2767359.
catalog contributor b2767360.
catalog contributor b2767361.
catalog contributor b2767362.
catalog contributor b2767363.
catalog created "1990.".
catalog date "1990".
catalog date "1990.".
catalog dateCopyrighted "1990.".
catalog description "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.".
catalog description "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.".
catalog description "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.".
catalog description "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.".
catalog description "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.".
catalog description "Includes bibliographical references.".
catalog extent "xv, 762 p. :".
catalog identifier "0821811312".
catalog isPartOf "Lectures in applied mathematics (American Mathematical Society) ; v. 26.".
catalog isPartOf "Lectures in applied mathematics, 0075-8485 ; v. 26".
catalog issued "1990".
catalog issued "1990.".
catalog language "eng".
catalog publisher "Providence, R.I. : American Mathematical Society,".
catalog subject "515/.355 20".
catalog subject "Differential equations, Nonlinear Numerical solutions Data processing Congresses.".
catalog subject "QA372 .C6374 1990".
catalog tableOfContents "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.".
catalog tableOfContents "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.".
catalog tableOfContents "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.".
catalog tableOfContents "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.".
catalog tableOfContents "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.".
catalog title "Computational solution of nonlinear systems of equations / Eugene L. Allgower, Kurt Georg, editors.".
catalog type "Conference proceedings. fast".
catalog type "text".