- 322 pages
- English
- PDF
- Available on iOS & Android
Nonlinear Partial Differential Equations in Engineering by W F Ames
About This Book
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
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Table of contents
- Front Cover
- Nonlinear Partial Differential Equations in Engineering
- Copyright Page
- Contents
- Preface
- Contents of Volume I
- Chapter 1. Analytic Techniques and Solutions
- Chapter 2. Applications of Modern Algebra
- Chapter 3. Approximate Methods
- Chapter 4. Numerical Methods
- Author Index
- Subject Index