Quasilinearization and Invariant Imbedding
With Applications to Chemical Engineering and Adaptive Control
- 350 pages
- English
- PDF
- Only available on web
Quasilinearization and Invariant Imbedding
With Applications to Chemical Engineering and Adaptive Control
About This Book
Mathematics in Science and Engineering, Volume 41: Quasilinearization and Invariant Imbedding presents a study on the use of two concepts for obtaining numerical solutions of boundary-value problemsâquasilinearization and invariant imbedding. This book emphasizes that the invariant imbedding approach reformulates the original boundary-value problem into an initial value problem by introducing new variables or parameters, while the quasilinearization technique represents an iterative approach combined with linear approximations. This volume focuses on analytical aspects that are concerned with actual convergence rates and computational requirements, considering various efficient algorithms that are suited for various types of boundary-value problems. This publication is a good reference for chemical and control engineers and scientists interested in obtaining numerical solutions of boundary-value problems in their particular fields.
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Table of contents
- Front Cover
- Quasilinearization and Invariant Imbedding: With Applications to Chemical Engineering and Adaptive Control
- Copyright Page
- Table of Contents
- Dedication
- PREFACE
- Chapter 1. INTRODUCTORY CONCEPTS
- Chapter 2. QUASILINEARIZATION
- Chapter 3. ORDINARY DIFFERENTIAL EQUATIONS
- Chapter 4. PARAMETER ESTIMATION
- Chapter 5. OPTIMIZATION
- Chapter 6. INVARIANT IMBEDDING
- Chapter 7. QUASILINEARIZATION AND INVARIANT IMBEDDING
- Chapter 8. INVARIANT IMBEDDING, NONLINEAR FILTERING, AND THE ESTIMATION OF VARIABLES AND PARAMETERS
- Chapter 9. PARABOLIC PARTIAL DIFFERENTIAL EQUATIONSâFIXED BED REACTORS WITH AXIAL MIXING
- Appendix I: VARIATIONAL PROBLEMS WITH PARAMETERS
- Appendix II: THE FUNCTIONAL GRADIENT TECHNIQUE
- AUTHOR INDEX
- SUBJECT INDEX