- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
Addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics.
This book differs from others on the topic by:
Presenting examples of the power and versatility of operator-splitting methods.
Providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering.
Showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems.
Contents
Preface
Chapter 1: On some variational problems in Hilbert spaces
Chapter 2: Iterative methods in Hilbert spaces
Chapter 3: Operator-splitting and alternating direction methods
Chapter 4: Augmented Lagrangians and alternating direction methods of multipliers
Chapter 5: Least-squares solution of linear and nonlinear problems in Hilbert spaces
Chapter 6: Obstacle problems and Bingham flow application to control
Chapter 7: Other nonlinear eigenvalue problems
Chapter 8: Eikonal equations
Chapter 9: Fully nonlinear elliptic problems
Epilogue
Bibliography
Author index
Subject index
