Linear Integral Equations
I fell in love with integral equations about twenty years ago when I was working on my thesis, and I am still attracted by their mathematical beauty. This book will try to stimulate the reader to share this love with me. Having taught integral equations a
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R.A. Adams 1. Sobolev spaces. Academic Press, New York (1975). R.S. Anderssen, F.R. de Hoog and M.A. Lukas 1. The application and numerical solution of integral equations. Sijthoff and Noordhoff, Alphen aan den Rijn (1980). T.S. Angell, D. Colton and A. Kirsch 1. The three dimensional inverse scattering problem for acoustic waves. J. Diff. Equations 46, 46-58 (1982). T.S. Angell, R.E. Kleinman and G.F. Roach 1. An inverse transmission problem for the Helmholtz equation. Inverse Problems 3,149-180 (1987). P.M. Anselone 1. Collectively compact operator approximation theory and applications to integral equations. Prentice-Hall, Englewood Cliffs (1971). P.M. Anselone and R.H. Moore 1. Approximate solutions of integral and operator equations. J. Math. Anal. Appl. 9, 268277 (1964). N. Aronszajn 1. Theory of reproducing kernels. Trans. Amer. Math. Soc. 68, 337-404 (1950). F.V. Atkinson 1. Normal solvability of linear equations in normalized spaces. Matern. Sbornik 28, 3-14 (1951) (In Russian). K.E. Atkinson 1. Iterative variants of the Nystrom method for the numerical solution of integral equations. Numer. Math. 22,17-31 (1973). 2. A survey of numerical methods for the solution of Fredholm integral equations of the second kind. SIAM, Philadelphia (1976). C.T.H. Baker 1. The numerical treatment of integral equations. Clarendon Press, Oxford (1977).
J. Baumeister 1. Stable solution of inverse problems. Vieweg, Braunschweig (1986).
A. Beer 1. Einleitung in die Elektrostatik, die Lehre vom Magnetismus und die Elektrodynamik. Vieweg, Braunschweig (1865). H. Brakhage 1. tiber die numerische Behandlung von Integralgleichungen nach der Quadraturformelmethode. Numer. Math. 2, 183-196 (1960).
290
Bibliography
C.A. Brebbia, J .C.F. Telles and L.C. Wrobel 1. Boundary element techniques. Springer-Verlag, Berlin (1984). B. Brosowski and R. Kress 1. Einfiihrung in die Numerische Mathematik. Bibliographisches Institut, Mannheim (1975). J.R. Cannon 1. The one-dimensional heat equation. Addison-Wesley, Menlo Park (1984). J. Cea 1. Approximation variationelle des problemes aux limites. Ann. Inst. Fourier 14, 345-444 (1964). S. Christiansen 1. Condition number of matrices derived from two classes of integral equations. Math. Meth. in the App!. Sci. 3, 364-392 (1981). D. Colton 1. The inverse scattering problem for time-harmonic acoustic waves. SIAM Rev. 26, 323-350 (1984). D. Colton and R. Kress 1. Integral equation methods in scattering theory. Wiley, New York (1983). D. Colton and P. Monk 1. A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region. SIAM J. App!. Math. 45, 1039-1053 (1985). 2. A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region II. SIAM J. App!. Math. 46, 506-523 (1986). D. Colton and B.D. Sleeman 1. Uniqueness theorems for the inverse problem of acoustic scattering. IMA J. App!. Math. 31, 253-259 (1983). C.W. Cryer 1. Numerical functional analysis. Clarendon Press, Oxford (1982). P.J. Davis 1. On t
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