New Difference Schemes for Partial Differential Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
2004
|
| Series: | Operator Theory: Advances and Applications
148 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (IX, 446 p) |
| ISBN: | 9783034879224 9783034896221 |
| DOI: | 10.1007/978-3-0348-7922-4 |
Staff View
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| id | DE-604.BV042421987 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034879224 9783034896221 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857404 |
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| physical | 1 Online-Ressource (IX, 446 p) |
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| publishDate | 2004 |
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| series2 | Operator Theory: Advances and Applications |
| spelling | Ashyralyev, Allaberen Verfasser aut New Difference Schemes for Partial Differential Equations by Allaberen Ashyralyev, Pavel E. Sobolevskii Basel Birkhäuser Basel 2004 1 Online-Ressource (IX, 446 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 148 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 Mathematics Algebra Functional analysis Operator theory Differential equations, partial Numerical analysis Operator Theory Functional Analysis Partial Differential Equations Numerical Analysis Mathematik Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 s Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Sobolevskii, Pavel E. Sonstige oth https://doi.org/10.1007/978-3-0348-7922-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ashyralyev, Allaberen New Difference Schemes for Partial Differential Equations Mathematics Algebra Functional analysis Operator theory Differential equations, partial Numerical analysis Operator Theory Functional Analysis Partial Differential Equations Numerical Analysis Mathematik Differenzengleichung (DE-588)4012264-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4012264-5 (DE-588)4044779-0 |
| title | New Difference Schemes for Partial Differential Equations |
| title_auth | New Difference Schemes for Partial Differential Equations |
| title_exact_search | New Difference Schemes for Partial Differential Equations |
| title_full | New Difference Schemes for Partial Differential Equations by Allaberen Ashyralyev, Pavel E. Sobolevskii |
| title_fullStr | New Difference Schemes for Partial Differential Equations by Allaberen Ashyralyev, Pavel E. Sobolevskii |
| title_full_unstemmed | New Difference Schemes for Partial Differential Equations by Allaberen Ashyralyev, Pavel E. Sobolevskii |
| title_short | New Difference Schemes for Partial Differential Equations |
| title_sort | new difference schemes for partial differential equations |
| topic | Mathematics Algebra Functional analysis Operator theory Differential equations, partial Numerical analysis Operator Theory Functional Analysis Partial Differential Equations Numerical Analysis Mathematik Differenzengleichung (DE-588)4012264-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Algebra Functional analysis Operator theory Differential equations, partial Numerical analysis Operator Theory Functional Analysis Partial Differential Equations Numerical Analysis Mathematik Differenzengleichung Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-3-0348-7922-4 |
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