New Difference Schemes for Partial Differential Equations de Allaberen Ashyralyev

New Difference Schemes for Partial Differential Equations: Operator Theory: Advances and Applications, cartea 148

Allaberen Ashyralyev

Pavel E. Sobolevskii

en Limba Engleză Paperback – 14 oct 2012

The present monograph is devoted to the construction and investigation of the new high order of accuracy difference schemes of approximating the solutions of regular and singular perturbation boundary value problems for partial differential equations. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points. This approach permitted essentially to extend to a class of problems where the theory of difference methods is applicable. Namely, now it is possible to investigate the differential equations with variable coefficients and regular and singular perturbation boundary value problems. The investigation is based on new coercivity inequalities.
The book will be of value to professional mathematicians, as well as advanced students in the fields of numerical analysis, functional analysis, and ordinary and partial differential equations.

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	Preț	Express
Paperback (1)	915^.29 lei 6-8 săpt.
Birkhäuser Basel – 14 oct 2012	915^.29 lei 6-8 săpt.
Hardback (1)	921^.36 lei 6-8 săpt.
Birkhäuser Basel – 25 iun 2004	921^.36 lei 6-8 săpt.

Preț

Express

Paperback (1)

915^.29 lei 6-8 săpt.

Birkhäuser Basel – 14 oct 2012

915^.29 lei 6-8 săpt.

Hardback (1)

921^.36 lei 6-8 săpt.

Birkhäuser Basel – 25 iun 2004

921^.36 lei 6-8 săpt.

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Specificații

ISBN-13: 9783034896221
ISBN-10: 3034896220
Pagini: 460
Ilustrații: IX, 446 p.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.64 kg
Ediția:Softcover reprint of the original 1st ed. 2004
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Operator Theory: Advances and Applications

Locul publicării:Basel, Switzerland

Cuprins

1 Linear Difference Equations.- 1.1 Difference Equations of the First Order.- 1.2 Difference Equations of the Second Order.- 1.3 Difference Equations with Constant Coefficients.- 2 Difference Schemes for First-Order Differential Equations.- 2.1 Single-Step Exact Difference Scheme and Its Applications.- 2.2 Taylor’s Decomposition on Two Points and Its Applications.- 3 Difference Schemes for Second-Order Differential Equations.- 3.1 Two-Step Exact Difference Scheme and Its Applications.- 3.2 Taylor’s Decomposition on Three Points and Its Applications.- 4 Partial Differential Equations of Parabolic Type.- 4.1 A Cauchy Problem. Well-posedness.- 4.2 Difference Schemes Generated by an Exact Difference Scheme.- 4.3 Single-Step Difference Schemes Generated by Taylor’s Decomposition.- 5 Partial Differential Equations of Elliptic Type.- 5.1 A Boundary-Value Problem. Well-posedness.- 5.2 Difference Schemes Generated by an Exact Difference Scheme.- 5.3 Two-Step Difference Schemes Generated by Taylor’s Decomposition.- 6 Partial Differential Equations of Hyperbolic Type.- 6.1 A Cauchy Problem.- 6.2 Difference Schemes Generated by an Exact Difference Scheme.- 6.3 Two-Step Difference Schemes Generated by Taylor’s Decomposition.- 7 Uniform Difference Schemes for Perturbation Problems.- 7.1 A Cauchy Problem for Parabolic Equations.- 7.2 A Boundary-Value Problem for Elliptic Equations.- 7.3 A Cauchy Problem for Hyperbolic Equations.- 8 Appendix: Delay Parabolic Differential Equations.- 8.1 The Initial-Value Differential Problem.- 8.2 The Difference Schemes.- Comments on the Literature.