1.
図書
Avner Friedman
2.
図書
J.C.F. Telles
3.
図書
P.K. Banerjee and R. Butterfield
出版情報:
London ; Tokyo : McGraw-Hill, c1981 xiv, 452 p. ; 23 cm
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4.
図書
editors, M. Tanaka, C.A. Brebbia
出版情報:
Southampton : Computational Mechanics Institute , Berlin ; Tokyo : Springer-Verlag, c1986 2 v. (xix, 917 p.) ; 24 cm
シリーズ名:
A Computational mechanics publication
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5.
図書
G.F. Roach
出版情報:
Cambridge [Cambridgeshire] : Cambridge University Press, 1982 xiii, 325 p. ; 24 cm
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目次情報:
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Preface to the First Edition
Preface to the Second Edition
The Concept of a Green's Function / Chapter 1:
Vector Spaces and Linear Transformations / Chapter 2:
Vector Spaces / 2.1:
Linearly Independent Vectors / 2.2:
Orthonormal Vectors / 2.3:
Linear Transformations / 2.4:
Systems of Finite Dimension / Chapter 3:
Matrices and Linear Transformations / 3.1:
Change of Basis / 3.2:
Eigenvalues and Eigenvectors / 3.3:
Symmetric Operators / 3.4:
Bounded Operators / 3.5:
Positive Definite Operators / 3.6:
Continuous Functions / Chapter 4:
Limiting Processes / 4.1:
Integral Operators / 4.2:
The Kernel of an Integral Operator / 5.1:
Symmetric Integral Transformations / 5.2:
Separable Kernels / 5.3:
Eigenvalues of a Symmetric Integral Operator / 5.4:
Expansion Theorems for Integral Transformations / 5.5:
Generalized Fourier Series and Complete Vector Spaces / Chapter 6:
Generalized Fourier Series / 6.1:
Approximation Theorem / 6.2:
Complete Vector Spaces / 6.3:
Differential Operators / Chapter 7:
Introduction / 7.1:
Inverse Operators and the [delta]-function / 7.2:
The Domain of a Linear Differential Operator / 7.3:
Adjoint Differential Operators / 7.4:
Self-Adjoint Second-Order Differential Operators / 7.5:
Non-Homogeneous Problems and Symbolic Operators / 7.6:
Green's Functions and Second-Order Differential Operators / 7.7:
The Problem of Eigenfunctions / 7.8:
Green's Functions and the Adjoint Operator / 7.9:
Spectral Representation and Green's Functions / 7.10:
Integral Equations / Chapter 8:
Classification of Integral Equations / 8.1:
Method of Successive Approximations / 8.2:
The Fredholm Alternative / 8.3:
Symmetric Integral Equations / 8.4:
Equivalence of Integral and Differential Equations / 8.5:
Green's Functions in Higher-Dimensional Spaces / Chapter 9:
Partial Differential Operators and [delta]-functions / 9.1:
Green's Identities / 9.3:
Fundamental Solutions / 9.4:
Self-Adjoint Elliptic Equations (The Dirichlet Problem) / 9.5:
Self-Adjoint Elliptic Equations (The Neumann Problem) / 9.6:
Parabolic Equations / 9.7:
Hyperbolic Equations / 9.8:
Worked Examples / 9.9:
Calculation of Particular Green's Functions / Chapter 10:
Method of Images / 10.1:
Generalized Green's Functions / 10.2:
Mixed Problems / 10.3:
Approximate Green's Functions / Chapter 11:
Generalized Potentials / 11.1:
A Representation Theorem / 11.4:
Choice of Approximate Kernal / 11.5:
Summary of the Green's Function Method / Appendix A:
Green's Function Method for Ordinary Differential Equations / A1:
Green's Function Method for Partial Differential Equations / A2:
Operators and Expressions / Appendix B:
The Lebesgue Integral / Appendix C:
Distributions / Appendix D:
Bibliography
Chapter References
Index
Preface to the First Edition
Preface to the Second Edition
The Concept of a Green's Function / Chapter 1:
6.
図書
editors, C.A. Brebbia, W.L. Wendland, G. Kuhn
出版情報:
Southampton : Computational Mechanics , Berlin ; Tokyo : Springer-Verlag, 1987 607 p. ; 24 cm
シリーズ名:
Boundary elements IX ; v. 1
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7.
図書
by A.M. Arthurs
8.
図書
Philippe G. Ciarlet, Patrick Rabier
9.
図書
David L. Clements
10.
図書
J.W. Cohen, O.J. Boxma
出版情報:
Amsterdam ; New York : North-Holland Pub. Co. , New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1983 xii, 405 p. ; 24 cm
シリーズ名:
North-Holland mathematics studies ; 79
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11.
図書
Victor Ivrii
12.
図書
S.L. Crouch and A.M. Starfield
出版情報:
London ; Boston : Allen & Unwin, c1983 xii, 322 p. ; 25 cm
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13.
図書
Thomas J.R. Hughes
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall, c1987 xxvii, 803 p. ; 25 cm
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14.
図書
by V.N. Monakhov ; [translated from the Russian by H.H. McFaden ; translation edited by Lev J. Leifman]
目次情報:
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Boundary-value problems in the theory of analytic functions and their application to hydrodynamics: / Part I:
The boundary-value problems of Riemann and Hilbert / I:
Singular operators in spaces of summable functions. Application to boundary-value problems and to the study of boundary properties of analytic functions / II:
The mixed boundary-value problem with free boundary / III:
Flows of an incompressible fluid with free boundaries / IV:
Generalized solutions of quasilinear systems of equations in the mechanics of continuous media: / Part II:
Quasiconformal mappings and generalized solutions of elliptic systems of equations on the plane / V:
Boundary-value problems / VI:
Boundary-value problems in hydrodynamics and subsonic gas dynamics / VII:
Problems in filtration theory for a fluid with free boundaries / VIII:
Some planar problems with an unknown boundary in elasticity theory / IX:
Boundary-value problems in the theory of analytic functions and their application to hydrodynamics: / Part I:
The boundary-value problems of Riemann and Hilbert / I:
Singular operators in spaces of summable functions. Application to boundary-value problems and to the study of boundary properties of analytic functions / II:
15.
図書
Derek B. Ingham, Mark A. Kelmanson
16.
図書
David Colton, Rainer Kress
17.
図書
by G.I. Eskin
18.
図書
editor, C.A. Brebbia
出版情報:
Southampton : Computational Mechanics Centre Publication , Berlin ; Tokyo : Springer-Verlag, c1984 1 v. (various pagings) ; 24 cm
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19.
図書
B. Dayanand Reddy
20.
図書
W. Greenberg, C. van der Mee, V. Protopopescu
21.
図書
James M. Hill
22.
図書
Aleksei A. Dezin ; translated from the Russian by Ralph P. Boas
23.
図書
editors, C.A. Brebbia, G. Maier
24.
図書
Gerd Grubb
25.
図書
Theodore V. Hromadka II
26.
図書
Vesselin Petkov
出版情報:
Amsterdam ; Tokyo : North-Holland , New York, N.Y., U.S.A. : Distributors for the United States and Canada, Elsevier Science Pub. Co., 1989 xiv, 373 p. ; 23 cm
シリーズ名:
Studies in mathematics and its applications ; v. 21
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27.
図書
Brebbia, Carlos Alberto, 1938-
28.
図書
Monique Dauge
29.
図書
Roger Temam
30.
図書
Kazuaki Taira
出版情報:
Boston ; Tokyo : Academic Press, c1988 xviii, 452 p. ; 24 cm
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31.
図書
editor, C.A. Brebbia
出版情報:
Southampton : Computational Mechanics , Berlin ; Tokyo : Springer-Verlag, c1988 641 p. ; 24 cm
シリーズ名:
Boundary elements X ; v. 1
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32.
図書
Heinz-Otto Kreiss, Jens Lorenz
33.
図書
by V.I. Fabrikant
出版情報:
Dordrecht [Netherlands] ; Boston : Kluwer Academic Publishers, c1989 xiii, 467 p. ; 25 cm
シリーズ名:
Mathematics and its applications
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34.
図書
A. Dzhuraev ; translated from the Russian by H. Begehr and Lin Wei
35.
図書
editors, C. A. Brebbia, T. Futagami, M. Tanaka
出版情報:
Southampton : Computational Mechanics Centre, 1983 1046 p. ; 24 cm
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36.
図書
Michihiro Kitahara
37.
図書
Tullio Valent
38.
図書
R. Seshadri, T.Y. Na
出版情報:
New York ; Berlin : Springer-Verlag, c1985 224 p. ; 25 cm
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39.
図書
C.A. Brebbia, J.C.F. Telles, L.C. Wrobel
出版情報:
Berlin ; Tokyo : Springer-Verlag, 1984 xiv, 464 p. ; 26 cm
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40.
図書
edited by J.J.H. Miller
41.
図書
S-I. Umetani
42.
図書
edited by C.A. Brebbia
43.
図書
edited by C.A. Brebbia
出版情報:
Berlin ; New York : Springer-Verlag, 1984-<c1989 > v. <1-6 > ; 25 cm
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44.
図書
M. Necati Özıșık
出版情報:
New York : Dover Publications, 1989, c1968 viii, 504 p. ; 22 cm
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45.
図書
edited by Carlos A. Brebbia