Cargando…
Exponentially Convergent Algorithms for Abstract Differential Equations
This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for practical scientific computing since the equations under consideration can be seen as the met...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Frontiers in Mathematics,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-0348-0119-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220113054100.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110715s2011 sz | s |||| 0|eng d | ||
| 020 | |a 9783034801195 |9 978-3-0348-0119-5 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0119-5 |2 doi | |
| 050 | 4 | |a QA1-939 | |
| 072 | 7 | |a PB |2 bicssc | |
| 072 | 7 | |a MAT000000 |2 bisacsh | |
| 072 | 7 | |a PB |2 thema | |
| 082 | 0 | 4 | |a 510 |2 23 |
| 100 | 1 | |a Gavrilyuk, Ivan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Exponentially Convergent Algorithms for Abstract Differential Equations |h [electronic resource] / |c by Ivan Gavrilyuk, Volodymyr Makarov, Vitalii Vasylyk. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Basel : |b Springer Basel : |b Imprint: Birkhäuser, |c 2011. | |
| 300 | |a VIII, 180 p. 12 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 505 | 0 | |a Preface -- 1 Introduction -- 2 Preliminaries -- 3 The first-order equations -- 4 The second-order equations -- Appendix: Tensor-product approximations of the operator exponential -- Bibliography -- Index. | |
| 520 | |a This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as of partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which then can be applied to mathematical models of the real world. The problem class includes initial value problems (IVP) for first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator coefficients. For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Mathematics. |
| 700 | 1 | |a Makarov, Volodymyr. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Vasylyk, Vitalii. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034801188 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034801201 |
| 830 | 0 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0348-0119-5 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||