C.A. Swanson (Eds.)150-151-152-1
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; and methods 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 particular branches, 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 |
Table of contents :
Content:
Edited by
Page iii Copyright page
Page iv Preface
Pages v-vi
C.A. Swanson Chapter 1 Sturm-Type Theorems for Second Order Ordinary Equations
Pages 1-43 Chapter 2 Oscillation and Nonoscillation Theorems for Second Order Ordinary Equations
Pages 44-112 Chapter 3 Fourth Order Ordinary Equations
Pages 113-148 Chapter 4 Third Order Ordinary Equations, nth Order Ordinary Equations and Systems
Pages 149-185 Chapter 5 Partial Differential Equations
Pages 186-212 Bibliography Review Article
Pages 213-222 Author Index
Pages 223-225 Subject Index
Pages 226-227 |
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