Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
De Gruyter
2003
|
| Schriftenreihe: | Inverse and Ill-Posed Problems Series
40 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Includes bibliographical references (pages [221]-230) Biographical note: Alexander G. Megrabov, Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Novosibirsk, Russia Main description: Inverse problems are an important and rapidly developing direction in mathematics,mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monographdirect and inverse problems for partial differential equations are considered. The type of equations focusedare hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination ofmedium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of researchof all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined |
| Beschreibung: | 1 Online-Ressource (VII, 230 S.) |
| ISBN: | 9789067643795 9783110944983 9783111826158 |
Internformat
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| 500 | |a Includes bibliographical references (pages [221]-230) | ||
| 500 | |a Biographical note: Alexander G. Megrabov, Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Novosibirsk, Russia | ||
| 500 | |a Main description: Inverse problems are an important and rapidly developing direction in mathematics,mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monographdirect and inverse problems for partial differential equations are considered. The type of equations focusedare hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination ofmedium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of researchof all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined | ||
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Datensatz im Suchindex
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| dewey-hundreds | 200 - Religion |
| dewey-ones | 242 - Devotional literature |
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| dewey-search | 242 |
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| discipline | Theologie / Religionswissenschaften |
| format | Electronic eBook |
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| id | DE-604.BV042355304 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-19T17:40:32Z |
| institution | BVB |
| isbn | 9789067643795 9783110944983 9783111826158 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027791785 |
| oclc_num | 900793580 |
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| physical | 1 Online-Ressource (VII, 230 S.) |
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| series2 | Inverse and Ill-Posed Problems Series |
| spelling | Megrabov, Alexander G. Verfasser aut Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations Berlin De Gruyter 2003 1 Online-Ressource (VII, 230 S.) txt rdacontent c rdamedia cr rdacarrier Inverse and Ill-Posed Problems Series 40 Includes bibliographical references (pages [221]-230) Biographical note: Alexander G. Megrabov, Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Novosibirsk, Russia Main description: Inverse problems are an important and rapidly developing direction in mathematics,mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monographdirect and inverse problems for partial differential equations are considered. The type of equations focusedare hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination ofmedium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of researchof all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined Differential equations, Partial Numerical solutions Inverse problems (Differential equations) Numerical solutions Electronic books http://www.degruyter.com/doi/book/10.1515/9783110944983 Verlag Volltext |
| spellingShingle | Megrabov, Alexander G. Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations Differential equations, Partial Numerical solutions Inverse problems (Differential equations) Numerical solutions |
| title | Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations |
| title_auth | Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations |
| title_exact_search | Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations |
| title_full | Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations |
| title_fullStr | Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations |
| title_full_unstemmed | Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations |
| title_short | Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations |
| title_sort | forward and inverse problems for hyperbolic elliptic and mixed type equations |
| topic | Differential equations, Partial Numerical solutions Inverse problems (Differential equations) Numerical solutions |
| topic_facet | Differential equations, Partial Numerical solutions Inverse problems (Differential equations) Numerical solutions |
| url | http://www.degruyter.com/doi/book/10.1515/9783110944983 |
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