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- catalog abstract ""This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss - Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational math classes. At the same time, the book opens many directions for possible future research."--Jacket.".
- catalog contributor b13308154.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog description ""This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss - Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms.".
- catalog description "1. Introduction -- 2. Systems of equations : local Newton methods -- 3. Systems of equations : global Newton methods -- 4. Least squares problems : Gauss-Newton methods -- 5. Parameter dependent systems : continuation methods -- 6. Stiff ODE initial value problems -- 7. ODE boundary value problems -- 8. PDE boundary value problems.".
- catalog description "Includes bibliographical references (p. [405]-415) and index.".
- catalog description "Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational math classes. At the same time, the book opens many directions for possible future research."--Jacket.".
- catalog extent "xii, 424 p. :".
- catalog identifier "3540210997 (acid-free paper)".
- catalog isPartOf "Springer series in computational mathematics ; 35.".
- catalog isPartOf "Springer series in computational mathematics, 0179-3632 ; 35".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "Algebras, Linear.".
- catalog subject "Equations, Theory of.".
- catalog subject "Numerical analysis.".
- catalog subject "QA297 .D46 2004".
- catalog tableOfContents "1. Introduction -- 2. Systems of equations : local Newton methods -- 3. Systems of equations : global Newton methods -- 4. Least squares problems : Gauss-Newton methods -- 5. Parameter dependent systems : continuation methods -- 6. Stiff ODE initial value problems -- 7. ODE boundary value problems -- 8. PDE boundary value problems.".
- catalog title "Newton methods for nonlinear problems : affine invariance and adaptive algorithms / Peter Deuflhard.".
- catalog type "text".