Computational Methods for Linear Integral Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2002
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of problems. Historical information covering the nineteenth and twentieth centuries is available in fragments in Kantorovich and Krylov (1958), Anselone (1964), Mikhlin (1967), Lonseth (1977), Atkinson (1976), Baker (1978), Kondo (1991), and Brunner (1997). Integral equations are encountered in a variety of applications in many fields including continuum mechanics, potential theory, geophysics, electricity and magnetism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control systems, communication theory, mathematical economics, population genetics, queueing theory, and medicine. Most of the boundary value problems involving differential equations can be converted into problems in integral equations, but there are certain problems which can be formulated only in terms of integral equations. A computational approach to the solution of integral equations is, therefore, an essential branch of scientific inquiry |
| Beschreibung: | 1 Online-Ressource (XVIII, 508 p) |
| ISBN: | 9781461201014 9781461266129 |
| DOI: | 10.1007/978-1-4612-0101-4 |
Internformat
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| 500 | |a This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of problems. Historical information covering the nineteenth and twentieth centuries is available in fragments in Kantorovich and Krylov (1958), Anselone (1964), Mikhlin (1967), Lonseth (1977), Atkinson (1976), Baker (1978), Kondo (1991), and Brunner (1997). Integral equations are encountered in a variety of applications in many fields including continuum mechanics, potential theory, geophysics, electricity and magnetism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control systems, communication theory, mathematical economics, population genetics, queueing theory, and medicine. Most of the boundary value problems involving differential equations can be converted into problems in integral equations, but there are certain problems which can be formulated only in terms of integral equations. A computational approach to the solution of integral equations is, therefore, an essential branch of scientific inquiry | ||
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| 650 | 4 | |a Numeric Computing | |
| 650 | 4 | |a Several Complex Variables and Analytic Spaces | |
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Datensatz im Suchindex
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| author | Kythe, Prem K. 1930- |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0101-4 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461201014 9781461266129 |
| language | English |
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| spelling | Kythe, Prem K. 1930- Verfasser (DE-588)12072362X aut Computational Methods for Linear Integral Equations by Prem K. Kythe, Pratap Puri Boston, MA Birkhäuser Boston 2002 1 Online-Ressource (XVIII, 508 p) txt rdacontent c rdamedia cr rdacarrier This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of problems. Historical information covering the nineteenth and twentieth centuries is available in fragments in Kantorovich and Krylov (1958), Anselone (1964), Mikhlin (1967), Lonseth (1977), Atkinson (1976), Baker (1978), Kondo (1991), and Brunner (1997). Integral equations are encountered in a variety of applications in many fields including continuum mechanics, potential theory, geophysics, electricity and magnetism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control systems, communication theory, mathematical economics, population genetics, queueing theory, and medicine. Most of the boundary value problems involving differential equations can be converted into problems in integral equations, but there are certain problems which can be formulated only in terms of integral equations. A computational approach to the solution of integral equations is, therefore, an essential branch of scientific inquiry Mathematics Electronic data processing Integral equations Differential equations, partial Integral Equations Numeric Computing Several Complex Variables and Analytic Spaces Datenverarbeitung Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Lineare Integralgleichung (DE-588)4114426-0 gnd rswk-swf Lineare Integralgleichung (DE-588)4114426-0 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Puri, Pratap 1938- Sonstige (DE-588)141221917 oth https://doi.org/10.1007/978-1-4612-0101-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kythe, Prem K. 1930- Computational Methods for Linear Integral Equations Mathematics Electronic data processing Integral equations Differential equations, partial Integral Equations Numeric Computing Several Complex Variables and Analytic Spaces Datenverarbeitung Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Lineare Integralgleichung (DE-588)4114426-0 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4114426-0 |
| title | Computational Methods for Linear Integral Equations |
| title_auth | Computational Methods for Linear Integral Equations |
| title_exact_search | Computational Methods for Linear Integral Equations |
| title_full | Computational Methods for Linear Integral Equations by Prem K. Kythe, Pratap Puri |
| title_fullStr | Computational Methods for Linear Integral Equations by Prem K. Kythe, Pratap Puri |
| title_full_unstemmed | Computational Methods for Linear Integral Equations by Prem K. Kythe, Pratap Puri |
| title_short | Computational Methods for Linear Integral Equations |
| title_sort | computational methods for linear integral equations |
| topic | Mathematics Electronic data processing Integral equations Differential equations, partial Integral Equations Numeric Computing Several Complex Variables and Analytic Spaces Datenverarbeitung Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Lineare Integralgleichung (DE-588)4114426-0 gnd |
| topic_facet | Mathematics Electronic data processing Integral equations Differential equations, partial Integral Equations Numeric Computing Several Complex Variables and Analytic Spaces Datenverarbeitung Mathematik Numerisches Verfahren Lineare Integralgleichung |
| url | https://doi.org/10.1007/978-1-4612-0101-4 |
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