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This book suggests the constructive recipes and computational schemes for a number of real life problems described by the multidimensional partial differential equations. We present the theory and algorithms for the sinc-based separable approximation of the analytic radial basis functions including Green's and Helmholtz kernels. The efficient tensor-based techniques for computational problems in electronic structure calculations and for the grid-based evaluation of long-range interaction potentials in multi-particle systems are considered. We also discuss the QTT numerical approach in many-particle dynamics, tensor techniques for stochastic/parametric PDEs as well as for the solution and homogenization of the elliptic equations with highly-oscillating coefficients.
Contents
Theory on separable approximation of multivariate functions
Multilinear algebra and nonlinear tensor approximation
Superfast computations via quantized tensor approximation
Tensor approach to multidimensional integrodifferential equations
This book suggests the constructive recipes and computational schemes for a number of real life problems described by the multidimensional partial differential equations. We present the theory and algorithms for the sinc-based separable approximation of the analytic radial basis functions including Green's and Helmholtz kernels. The efficient tensor-based techniques for computational problems in electronic structure calculations and for the grid-based evaluation of long-range interaction potentials in multi-particle systems are considered. We also discuss the QTT numerical approach in many-particle dynamics, tensor techniques for stochastic/parametric PDEs as well as for the solution and homogenization of the elliptic equations with highly-oscillating coefficients.
Contents
Theory on separable approximation of multivariate functions
Multilinear algebra and nonlinear tensor approximation
Superfast computations via quantized tensor approximation
Tensor approach to multidimensional integrodifferential equations
| Erscheinungsjahr: | 2018 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
X
369 S. |
| ISBN-13: | 9783110370133 |
| ISBN-10: | 3110370131 |
| Sprache: | Englisch |
| Autor: | Khoromskij, Boris |
| Hersteller: | De Gruyter |
| Maße: | 23 x 176 x 245 mm |
| Von/Mit: | Boris Khoromskij |
| Erscheinungsdatum: | 11.06.2018 |
| Gewicht: | 0,754 kg |
| Erscheinungsjahr: | 2018 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
X
369 S. |
| ISBN-13: | 9783110370133 |
| ISBN-10: | 3110370131 |
| Sprache: | Englisch |
| Autor: | Khoromskij, Boris |
| Hersteller: | De Gruyter |
| Maße: | 23 x 176 x 245 mm |
| Von/Mit: | Boris Khoromskij |
| Erscheinungsdatum: | 11.06.2018 |
| Gewicht: | 0,754 kg |
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