Spline Collocation for Cordial Volterra Integral Equations
作者： Gennadi Vainikko
DOI: 10.1080/01630561003757710
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摘要: We study the convergence and speed of two versions spline collocation methods on uniform grids for linear Volterra integral equations second kind with noncompact operators.
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Ivan P. Gavrilyuk, Collocation methods for Volterra integral and related functional equations. Mathematics of Computation. ,vol. 75, ,(2006)
Hermann Brunner, Collocation Methods for Volterra Integral and Related Functional Differential Equations Cambridge University Press. ,(2004) , 10.1017/CBO9780511543234
Johannes Elschner, On Spline Approximation for a Class of Non-Compact Integral Equations Mathematische Nachrichten. ,vol. 146, pp. 271- 321 ,(1990) , 10.1002/MANA.19901461703
Hermann Brunner, Arvet Pedas, Gennadi Vainikko, The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations Mathematics of Computation. ,vol. 68, pp. 1079- 1095 ,(1999) , 10.1090/S0025-5718-99-01073-X
H. Brunner, P. J. van der Houwen, The numerical solution of Volterra equations CWI Monographs. ,(1986)
Arvet Pedas, Gennadi Vainikko, Integral Equations with Diagonal and Boundary Singularities of the Kernel Zeitschrift Fur Analysis Und Ihre Anwendungen. ,vol. 25, pp. 487- 516 ,(2006) , 10.4171/ZAA/1304
A. Pedas, G. Vainikko, Smoothing Transformation and Piecewise Polynomial Collocation for Weakly Singular Volterra Integral Equations Computing. ,vol. 73, pp. 271- 293 ,(2004) , 10.1007/S00607-004-0088-9
G. A. Chandler, I. G. Graham, Product integration-collocation methods for noncompact integral operator equations Mathematics of Computation. ,vol. 50, pp. 125- 138 ,(1988) , 10.1090/S0025-5718-1988-0917821-1
J. Elschner, I.G. Graham, Numerical methods for integral equations of Mellin type Journal of Computational and Applied Mathematics. ,vol. 125, pp. 423- 437 ,(2000) , 10.1016/S0377-0427(00)00483-0
Raul Kangro, Peeter Oja, Convergence of spline collocation for Volterra integral equations Applied Numerical Mathematics. ,vol. 58, pp. 1434- 1447 ,(2008) , 10.1016/J.APNUM.2007.08.004