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Second Order PDE's in Finite and Infinite Dimension

Second Order PDE's in Finite and Infinite Dimension ab 63.99 € als Taschenbuch: A Probabilistic Approach. Auflage 2001. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

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Price: 63.99 EUR excl. shipping

The Method of Fundamental Solutions Applied to Eigenproblems in PDE's

The Method of Fundamental Solutions Applied to Eigenproblems in PDE's ab 76.99 € als Taschenbuch: . Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

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Price: 76.99 EUR excl. shipping

Numerical Solution for Partial Differential Equations (PDE's)

Numerical Solution for Partial Differential Equations (PDE's) ab 48.99 € als Taschenbuch: The Stability of One Space Dimension Diffusion Equation with Finite Difference Methods. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

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Price: 48.99 EUR excl. shipping

Sobolev Spaces and Variational Methods Applied to Elliptic PDE's

Sobolev Spaces and Variational Methods Applied to Elliptic PDE's ab 48.99 € als Taschenbuch: Variational Method via Optimization theory. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

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Price: 48.99 EUR excl. shipping

Morrey Spaces

Morrey Spaces ab 47.99 € als epub eBook: Introduction and Applications to Integral Operators and PDE's Volume II. Aus dem Bereich: eBooks, Belletristik, Erzählungen,

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Price: 47.99 EUR excl. shipping

Morrey Spaces

Morrey Spaces ab 256.99 € als epub eBook: Introduction and Applications to Integral Operators and PDE's Volumes I & II. Aus dem Bereich: eBooks, Belletristik, Erzählungen,

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Price: 256.99 EUR excl. shipping

Morrey Spaces

Morrey Spaces ab 50.99 € als epub eBook: Introduction and Applications to Integral Operators and PDE's Volume I. Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik,

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Price: 50.99 EUR excl. shipping

Optimal Input Signals for Parameter Estimation

The aim of this book is to provide methods and algorithms for the optimization of input signals so as to estimate parameters in systems described by PDE's as accurate as possible under given constraints. The optimality conditions have their background in the optimal experiment design theory for regression functions and in simple but useful results on the dependence of eigenvalues of partial differential operators on their parameters. Examples are provided that reveal sometimes intriguing geometry of spatiotemporal input signals and responses to them. An introduction to optimal experimental design for parameter estimation of regression functions is provided. The emphasis is on functions having a tensor product (Kronecker) structure that is compatible with eigenfunctions of many partial differential operators. New optimality conditions in the time domain and computational algorithms are derived for D-optimal input signals when parameters of ordinary differential equations are estimated. They are used as building blocks for constructing D-optimal spatio-temporal inputs for systems described by linear partial differential equations of the parabolic and hyperbolic types with constant parameters. Optimality conditions for spatially distributed signals are also obtained for equations of elliptic type in those cases where their eigenfunctions do not depend on unknown constant parameters. These conditions and the resulting algorithms are interesting in their own right and, moreover, they are second building blocks for optimality of spatio-temporal signals. A discussion of the generalizability and possible applications of the results obtained is presented.

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Price: 82.99 EUR excl. shipping