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JCAM
2011
91views more  JCAM 2011»
12 years 7 months ago
Numerical solution of linear Volterra integral equations of the second kind with sharp gradients
Collocation methods are a well developed approach for the numerical solution of smooth and weakly-singular Volterra integral equations. In this paper we extend these methods, thro...
Samuel A. Isaacson, Robert M. Kirby
MOC
2010
12 years 11 months ago
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
In this paper, a Jacobi-collocation spectral method is developed for Volterra integral equations of the second kind with a weakly singular kernel. We use some function transformati...
Yanping Chen, Tao Tang
APPML
2005
99views more  APPML 2005»
13 years 4 months ago
A numerical study of iterative refinement schemes for weakly singular integral equations
Three iterative refinement schemes are studied for approximating the solutions of linear weakly singular Fredholm integral equations of the second kind. The rates of convergence a...
Filomena D. d'Almeida, Olivier Titaud, Paulo B. Va...
FS
2010
105views more  FS 2010»
13 years 3 months ago
Local time and the pricing of time-dependent barrier options
Abstract A time-dependent double-barrier option is a derivative security that delivers the terminal value φ(ST ) at expiry T if neither of the continuous time-dependent barriers b...
Aleksandar Mijatovic
SIAMAM
2000
89views more  SIAMAM 2000»
13 years 4 months ago
An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact
An algorithm for a loaded crack partly in frictionless contact is presented. The problem is nonlinear in the sense that the equations of linear elasticity are supplemented by certa...
Gunnar Peters, Johan Helsing