[PDF] Random Integral Equations with Applications to Life Sciences and Engineering (Mathematics in Science and Engineering)

ISBN: 0127021507

Category: Tutorial


Posted on 2017-10-31, by luongquocchinh.

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Author: Chris P. Tsokos | Publisher: Academic Press | Category: Mathematics | Language: English | Page: 322 | ISBN: 0127021507 | ISBN13: 9780127021508 |

Description: 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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