Theory of Difference Equations Numerical Methods and Applications by V Lakshmikantham and D Trigiante (Mathematics in Science and Engineering) (Mathematics in Science and Engineering)

by V. Lakshmikantham, Anatoli Torokhti, and Phil Howlett

D Trigiante (Editor)

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Book cover for Theory of Difference Equations Numerical Methods and Applications by V Lakshmikantham and D Trigiante

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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.
  • ISBN10 1282702947
  • ISBN13 9781282702943
  • Publish Date 9 May 2014 (first published 1 May 1988)
  • Publish Status Active
  • Out of Print 17 June 2015
  • Publish Country US
  • Imprint Elsevier Science
  • Format eBook
  • Pages 322
  • Language English