Numerical Solution of Fredholm Integral Equations of the Second Kind

Part of the Texts in Applied Mathematics book series (TAM, volume 39)


Linear integral equations of the second kind, were introduced in Chapter 2, and we note that they occur in a wide variety of physical applications. An important class of such equations are the boundary integral equations, about which more is said in Chapter 13. In the integral of (12.0.1), D is a closed, and often bounded, integration region. The integral operator is often a compact operator on C(D) or L2(D), although not always. For the case that the integral operator is compact, a general solvability theory is given in Subsection 2.8.4 of Chapter 2. A more general introduction to the theory of such equations is given in Kress [149].


Integral Equation Integral Operator Iteration Method Projection Method Node Point 
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© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of Mathematics & Computer ScienceUniversity of IowaIowa CityUSA
  2. 2.Department of MathematicsUniversity of Iowa CityIowa CityUSA

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