Newton Methods for Nonlinear Problems [electronic resource] :Affine Invariance and Adaptive Algorithms / by Peter Deuflhard.
by Deuflhard, Peter [author.]; SpringerLink (Online service).
Material type:
BookSeries: Springer Series in Computational Mathematics: 35Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.Description: XII, 424p. 49 illus. online resource.ISBN: 9783642238994.Subject(s): Mathematics | Computer science | Differential Equations | Computer science -- Mathematics | Mathematical optimization | Engineering mathematics | Mathematics | Computational Mathematics and Numerical Analysis | Computational Science and Engineering | Ordinary Differential Equations | Appl.Mathematics/Computational Methods of Engineering | Optimization | Math Applications in Computer ScienceDDC classification: 518 | 518 Online resources: Click here to access online
In:
Springer eBooksSummary: 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 mathematics classes. At the same time, the book opens many directions for possible future research.
| Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA71-90 (Browse shelf) | Available |
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 mathematics classes. At the same time, the book opens many directions for possible future research.
There are no comments for this item.