Time-domain scattering:
The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundame...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge ; New York, NY
Cambridge University Press
2021
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
180 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781108891066 https://doi.org/10.1017/9781108891066 https://doi.org/10.1017/9781108891066 |
| Zusammenfassung: | The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years cement the position of this work as an essential reference on the topic for applied mathematicians, physicists and engineers |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 11 Jun 2021) Acoustics and the wave equation -- Wavefunctions -- Characteristics and discontinuities -- Initial-boundary value problems -- Use of Laplace transforms -- Problems with spherical symmetry -- Scattering by a sphere -- Scattering frequencies and the singularity expansion method -- Integral representations -- Integral equations |
| Umfang: | 1 Online-Ressource (xi, 250 Seiten) |
| ISBN: | 9781108891066 |
| DOI: | 10.1017/9781108891066 |
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| 520 | |a The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years cement the position of this work as an essential reference on the topic for applied mathematicians, physicists and engineers | ||
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Datensatz im Suchindex
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| author | Martin, Paul A. ca. 20./21. Jh |
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| dewey-full | 515/.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515 3724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781108891066 |
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| institution | BVB |
| isbn | 9781108891066 |
| language | English |
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| series2 | Encyclopedia of mathematics and its applications 180 |
| spelling | Martin, Paul A. ca. 20./21. Jh. (DE-588)1206131497 aut Time-domain scattering P.A. Martin Cambridge ; New York, NY Cambridge University Press 2021 1 Online-Ressource (xi, 250 Seiten) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications 180 Title from publisher's bibliographic system (viewed on 11 Jun 2021) Acoustics and the wave equation -- Wavefunctions -- Characteristics and discontinuities -- Initial-boundary value problems -- Use of Laplace transforms -- Problems with spherical symmetry -- Scattering by a sphere -- Scattering frequencies and the singularity expansion method -- Integral representations -- Integral equations The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years cement the position of this work as an essential reference on the topic for applied mathematicians, physicists and engineers Scattering (Mathematics) Time-domain analysis Wave equation Wellengleichung (DE-588)4065315-8 gnd rswk-swf Streutheorie (DE-588)4183697-2 gnd rswk-swf Zeitreihenanalyse (DE-588)4067486-1 gnd rswk-swf Wellengleichung (DE-588)4065315-8 s Streutheorie (DE-588)4183697-2 s Zeitreihenanalyse (DE-588)4067486-1 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-108-83559-6 https://doi.org/10.1017/9781108891066 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Martin, Paul A. ca. 20./21. Jh Time-domain scattering Scattering (Mathematics) Time-domain analysis Wave equation Wellengleichung (DE-588)4065315-8 gnd Streutheorie (DE-588)4183697-2 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd |
| subject_GND | (DE-588)4065315-8 (DE-588)4183697-2 (DE-588)4067486-1 |
| title | Time-domain scattering |
| title_auth | Time-domain scattering |
| title_exact_search | Time-domain scattering |
| title_full | Time-domain scattering P.A. Martin |
| title_fullStr | Time-domain scattering P.A. Martin |
| title_full_unstemmed | Time-domain scattering P.A. Martin |
| title_short | Time-domain scattering |
| title_sort | time domain scattering |
| topic | Scattering (Mathematics) Time-domain analysis Wave equation Wellengleichung (DE-588)4065315-8 gnd Streutheorie (DE-588)4183697-2 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd |
| topic_facet | Scattering (Mathematics) Time-domain analysis Wave equation Wellengleichung Streutheorie Zeitreihenanalyse |
| url | https://doi.org/10.1017/9781108891066 |
| work_keys_str_mv | AT martinpaula timedomainscattering |