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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Integral Equations (G.1.9) > Fredholm Equations (G.1.9...)  
 
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  1-5 of 5 Reviews about "Fredholm Equations (G.1.9...)": Date Reviewed
  Low-rank approximation of integral operators by interpolation
Börm S., Grasedyck L. Computing 72(3-4): 325-332, 2004.  Type: Article

The numerical treatment of Fredholm integral equations is an important topic. One general approach is to approximate the integral equation with a linear system of equations that generally has a dense and large matrix. This provides a f...

Dec 16 2005
  High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs
Domínguez V. Journal of Computational and Applied Mathematics 161(1): 145-159, 2003.  Type: Article

This paper describes a numerical method for the solution of the Laplace and the Helmholtz equations in the exterior of a smooth open arc in , which is based on layer potentials. It is well known that with a cosine change of variable, t...

Feb 12 2004
  Adaptive low-rank approximation of collocation matrices
Bebendorf M., Rjasanow S. Computing 70(1): 1-24, 2003.  Type: Article

In this paper, the efficient solution of the Fredholm integral...

Sep 17 2003
  On a special class of nonlinear Fredholm integral equations of the first kind
Schröter T. Computing 58(3): 259-279, 1997.  Type: Article

Urysohn equations of the form
01 k ( s, x ( t ) ) dt = y ( s ) , 0 ≤ s ≤ 1
arise in many areas of application involving the indirect determination...

May 1 1998
  Software for an implementation of Weeks’ method for the inverse Laplace transform
Garbow B., Giunta G., Lyness J., Murli A. ACM Transactions on Mathematical Software 14(2): 163-170, 1988.  Type: Article

The authors discuss a software package that implements a modified version of Weeks’s method to compute numerical values of the inverse Laplace transform. The method used is based on an expansion of the desired function in ter...

Mar 1 1989
 
 
 
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