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[share_ebook] Nonlinear Partial Differential Equations in Engineering: v. 1 (Mathematics in Science & Engineering Volume 18)


作者: Ames

日期: 1965-02-04

页数: 511

出版社: Academic Press

标签: 数学



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share_ebook Nonlinear Partial Differential Equations in Engineering v 1 Mathematics in Science Engineering Volume 18


Nonlinear Partial Differential Equations in Engineering: v. 1 (Mathematics in Science & Engineering Volume 18)
Ames | Academic Press | 1965-02-04 | 511 pages | English | DJVU

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


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