Abstract | ||
---|---|---|
In this paper, the authors propose a Nystrom method to approximate the solutions of Cauchy singular integral equations with constant coefficients having a negative index. They consider the equations in spaces of continuous functions with weighted uniform norm. They prove the stability and the convergence of the method and show some numerical tests that confirm the error estimates. |
Year | DOI | Venue |
---|---|---|
2009 | 10.1016/j.cam.2009.06.028 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
cauchy singular integral equation,numerical test,continuous function,constant coefficient,error estimate,nystrom method,negative index,weighted uniform norm,indexation,lagrange interpolation,condition number,gaussian quadrature rule,gaussian quadrature,fredholm integral equation | Nyström method,Mathematical optimization,Singular integral,Mathematical analysis,Constant coefficients,Integral equation,Cauchy's integral formula,Cauchy distribution,Cauchy's convergence test,Mathematics,Numerical stability | Journal |
Volume | Issue | ISSN |
232 | 2 | 0377-0427 |
Citations | PageRank | References |
3 | 1.04 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
M. C. De Bonis | 1 | 17 | 5.60 |
C. Laurita | 2 | 11 | 3.29 |