Introduction and basic functional analysis
Bounded and compact operators
Riesz theory
Dual systems and fredholm alternative
Regularization in dual systems
Potential theory
Singular boundary integral equations
Sobolev spaces
The heat equation
Operator approximations
Degenerate kernal approximation
Quadrature methods
Projection methods
Iterative solution and stability
Equations of the first kind
Tikhonov regularization
Regularization by discretization
Inverse boundary value problems.
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Linear integral equations by Rainer Kress. ISBN 9781461495925. Published by Springer in 2014. Publication and catalogue information, links to buy online and reader comments.
