Green's Functions: Construction and Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
De Gruyter
2012
|
| Schlagworte: | |
| Online-Zugang: | FHD01 Volltext |
| Beschreibung: | Print version record |
| Beschreibung: | 1 online resource (448 pages) |
| ISBN: | 9783110253399 3110253399 311025302X 9783110253023 |
Internformat
MARC
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| 100 | 1 | |a Melnikov, Yuri A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Green's Functions |b Construction and Applications |
| 264 | 1 | |a Berlin |b De Gruyter |c 2012 | |
| 300 | |a 1 online resource (448 pages) | ||
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| 505 | 8 | |a Preface; 0 Introduction; 1 Green's Functions for ODE; 1.1 Standard Procedure for Construction; 1.2 Symmetry of Green's Functions; 1.3 Alternative Construction Procedure; 1.4 Chapter Exercises; 2 The Laplace Equation; 2.1 Method of Images; 2.2 Conformal Mapping; 2.3 Method of Eigenfunction Expansion; 2.4 Three-Dimensional Problems; 2.5 Chapter Exercises; 3. The Static Klein-Gordon Equation; 3.1 Definition of Green's Function; 3.2 Method of Images; 3.3 Method of Eigenfunction Expansion; 3.4 Three-Dimensional Problems; 3.5 Chapter Exercises; 4 Higher Order Equations | |
| 505 | 8 | |a 4.1 Definition of Green's Function4.2 Rectangular-Shaped Regions; 4.3 Circular-Shaped Regions; 4.4 The equation?2?2w(P) +?4w(P) = 0; 4.5 Elliptic Systems; 4.6 Chapter Exercises; 5 Multi-Point-Posed Problems; 5.1 Matrix of Green's Type; 5.2 Influence Function of a Multi-Span Beam; 5.3 Further Extension of the Formalism; 5.4 Chapter Exercises; 6 PDE Matrices of Green's type; 6.1 Introductory Comments; 6.2 Construction of Matrices of Green's Type; 6.3 Fields of Potential on Surfaces of Revolution; 6.4 Chapter Exercises; 7 Diffusion Equation; 7.1 Basics of the Laplace Transform | |
| 505 | 8 | |a 7.2 Green's Functions7.3 Matrices of Green's Type; 7.4 Chapter Exercises; 8 Black-Scholes Equation; 8.1 The Fundamental Solution; 8.2 Other Green's Functions; 8.3 A Methodologically Valuable Example; 8.4 Numerical Implementations; 8.5 Chapter Exercises; Appendix Answers to Chapter Exercises; Bibliography; Index | |
| 505 | 8 | |a This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. This book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations | |
| 650 | 7 | |a MATHEMATICS / Differential Equations / Partial |2 bisacsh | |
| 650 | 7 | |a Green's functions |2 fast | |
| 650 | 4 | |a Green's functions | |
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| 700 | 1 | |a Melnikov, Max Y. |e Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804175389286727680 |
|---|---|
| any_adam_object | |
| author | Melnikov, Yuri A. |
| author_facet | Melnikov, Yuri A. |
| author_role | aut |
| author_sort | Melnikov, Yuri A. |
| author_variant | y a m ya yam |
| building | Verbundindex |
| bvnumber | BV043032203 |
| collection | ZDB-30-PQE ZDB-4-EBA |
| contents | Preface; 0 Introduction; 1 Green's Functions for ODE; 1.1 Standard Procedure for Construction; 1.2 Symmetry of Green's Functions; 1.3 Alternative Construction Procedure; 1.4 Chapter Exercises; 2 The Laplace Equation; 2.1 Method of Images; 2.2 Conformal Mapping; 2.3 Method of Eigenfunction Expansion; 2.4 Three-Dimensional Problems; 2.5 Chapter Exercises; 3. The Static Klein-Gordon Equation; 3.1 Definition of Green's Function; 3.2 Method of Images; 3.3 Method of Eigenfunction Expansion; 3.4 Three-Dimensional Problems; 3.5 Chapter Exercises; 4 Higher Order Equations 4.1 Definition of Green's Function4.2 Rectangular-Shaped Regions; 4.3 Circular-Shaped Regions; 4.4 The equation?2?2w(P) +?4w(P) = 0; 4.5 Elliptic Systems; 4.6 Chapter Exercises; 5 Multi-Point-Posed Problems; 5.1 Matrix of Green's Type; 5.2 Influence Function of a Multi-Span Beam; 5.3 Further Extension of the Formalism; 5.4 Chapter Exercises; 6 PDE Matrices of Green's type; 6.1 Introductory Comments; 6.2 Construction of Matrices of Green's Type; 6.3 Fields of Potential on Surfaces of Revolution; 6.4 Chapter Exercises; 7 Diffusion Equation; 7.1 Basics of the Laplace Transform 7.2 Green's Functions7.3 Matrices of Green's Type; 7.4 Chapter Exercises; 8 Black-Scholes Equation; 8.1 The Fundamental Solution; 8.2 Other Green's Functions; 8.3 A Methodologically Valuable Example; 8.4 Numerical Implementations; 8.5 Chapter Exercises; Appendix Answers to Chapter Exercises; Bibliography; Index This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. This book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations |
| ctrlnum | (OCoLC)784886949 (DE-599)BVBBV043032203 |
| dewey-full | 515.353 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 515/.353 |
| dewey-search | 515.353 515/.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043032203 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:30Z |
| institution | BVB |
| isbn | 9783110253399 3110253399 311025302X 9783110253023 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028456854 |
| oclc_num | 784886949 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 DE-1050 |
| owner_facet | DE-1046 DE-1047 DE-1050 |
| physical | 1 online resource (448 pages) |
| psigel | ZDB-30-PQE ZDB-4-EBA FAW_PDA_EBA ZDB-30-PQE FHD01_PQE_Kauf |
| publishDate | 2012 |
| publishDateSearch | 2012 |
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| publisher | De Gruyter |
| record_format | marc |
| spelling | Melnikov, Yuri A. Verfasser aut Green's Functions Construction and Applications Berlin De Gruyter 2012 1 online resource (448 pages) txt rdacontent c rdamedia cr rdacarrier Print version record Preface; 0 Introduction; 1 Green's Functions for ODE; 1.1 Standard Procedure for Construction; 1.2 Symmetry of Green's Functions; 1.3 Alternative Construction Procedure; 1.4 Chapter Exercises; 2 The Laplace Equation; 2.1 Method of Images; 2.2 Conformal Mapping; 2.3 Method of Eigenfunction Expansion; 2.4 Three-Dimensional Problems; 2.5 Chapter Exercises; 3. The Static Klein-Gordon Equation; 3.1 Definition of Green's Function; 3.2 Method of Images; 3.3 Method of Eigenfunction Expansion; 3.4 Three-Dimensional Problems; 3.5 Chapter Exercises; 4 Higher Order Equations 4.1 Definition of Green's Function4.2 Rectangular-Shaped Regions; 4.3 Circular-Shaped Regions; 4.4 The equation?2?2w(P) +?4w(P) = 0; 4.5 Elliptic Systems; 4.6 Chapter Exercises; 5 Multi-Point-Posed Problems; 5.1 Matrix of Green's Type; 5.2 Influence Function of a Multi-Span Beam; 5.3 Further Extension of the Formalism; 5.4 Chapter Exercises; 6 PDE Matrices of Green's type; 6.1 Introductory Comments; 6.2 Construction of Matrices of Green's Type; 6.3 Fields of Potential on Surfaces of Revolution; 6.4 Chapter Exercises; 7 Diffusion Equation; 7.1 Basics of the Laplace Transform 7.2 Green's Functions7.3 Matrices of Green's Type; 7.4 Chapter Exercises; 8 Black-Scholes Equation; 8.1 The Fundamental Solution; 8.2 Other Green's Functions; 8.3 A Methodologically Valuable Example; 8.4 Numerical Implementations; 8.5 Chapter Exercises; Appendix Answers to Chapter Exercises; Bibliography; Index This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. This book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations MATHEMATICS / Differential Equations / Partial bisacsh Green's functions fast Green's functions Green-Funktion (DE-588)4158123-4 gnd rswk-swf Green-Funktion (DE-588)4158123-4 s 1\p DE-604 Melnikov, Max Y. Sonstige oth Erscheint auch als Druck-Ausgabe Melnikov, Yuri A . Green's Functions : Construction and Applications http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=448094 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Melnikov, Yuri A. Green's Functions Construction and Applications Preface; 0 Introduction; 1 Green's Functions for ODE; 1.1 Standard Procedure for Construction; 1.2 Symmetry of Green's Functions; 1.3 Alternative Construction Procedure; 1.4 Chapter Exercises; 2 The Laplace Equation; 2.1 Method of Images; 2.2 Conformal Mapping; 2.3 Method of Eigenfunction Expansion; 2.4 Three-Dimensional Problems; 2.5 Chapter Exercises; 3. The Static Klein-Gordon Equation; 3.1 Definition of Green's Function; 3.2 Method of Images; 3.3 Method of Eigenfunction Expansion; 3.4 Three-Dimensional Problems; 3.5 Chapter Exercises; 4 Higher Order Equations 4.1 Definition of Green's Function4.2 Rectangular-Shaped Regions; 4.3 Circular-Shaped Regions; 4.4 The equation?2?2w(P) +?4w(P) = 0; 4.5 Elliptic Systems; 4.6 Chapter Exercises; 5 Multi-Point-Posed Problems; 5.1 Matrix of Green's Type; 5.2 Influence Function of a Multi-Span Beam; 5.3 Further Extension of the Formalism; 5.4 Chapter Exercises; 6 PDE Matrices of Green's type; 6.1 Introductory Comments; 6.2 Construction of Matrices of Green's Type; 6.3 Fields of Potential on Surfaces of Revolution; 6.4 Chapter Exercises; 7 Diffusion Equation; 7.1 Basics of the Laplace Transform 7.2 Green's Functions7.3 Matrices of Green's Type; 7.4 Chapter Exercises; 8 Black-Scholes Equation; 8.1 The Fundamental Solution; 8.2 Other Green's Functions; 8.3 A Methodologically Valuable Example; 8.4 Numerical Implementations; 8.5 Chapter Exercises; Appendix Answers to Chapter Exercises; Bibliography; Index This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. This book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations MATHEMATICS / Differential Equations / Partial bisacsh Green's functions fast Green's functions Green-Funktion (DE-588)4158123-4 gnd |
| subject_GND | (DE-588)4158123-4 |
| title | Green's Functions Construction and Applications |
| title_auth | Green's Functions Construction and Applications |
| title_exact_search | Green's Functions Construction and Applications |
| title_full | Green's Functions Construction and Applications |
| title_fullStr | Green's Functions Construction and Applications |
| title_full_unstemmed | Green's Functions Construction and Applications |
| title_short | Green's Functions |
| title_sort | green s functions construction and applications |
| title_sub | Construction and Applications |
| topic | MATHEMATICS / Differential Equations / Partial bisacsh Green's functions fast Green's functions Green-Funktion (DE-588)4158123-4 gnd |
| topic_facet | MATHEMATICS / Differential Equations / Partial Green's functions Green-Funktion |
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| work_keys_str_mv | AT melnikovyuria greensfunctionsconstructionandapplications AT melnikovmaxy greensfunctionsconstructionandapplications |