Newton Methods for Nonlinear Problems

Affine Invariance and Adaptive Algorithms

• Author(s): Peter Deuflhard,
• Publisher: Springer Science & Business Media
• Pages: 424
• ISBN_10: 3540210997
  ISBN_13: 9783540210993
  
• Language: en
• Categories: Mathematics / Counting & Numeration , Computers / Computer Science , Mathematics / Differential Equations / General , Mathematics / Applied , Computers / Data Processing , Mathematics / Numerical Analysis , Mathematics / Probability & Statistics / Stochastic Processes , Mathematics / Optimization , Mathematics / Discrete Mathematics ,

Description:...

This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite and in infinite dimension. Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. 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.