The stability of collocation methods for VIDEs of second order.
Rawashdeh, Edris, McDowell, Dave, Rakesh, Leela (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Polynomial spline collocation methods for second-order Volterra integrodifferential equations.”
The stability of collocation methods for VIDEs of second order.
Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
Babak Shiri, Sedaghat Shahmorad, Gholamreza Hojjati (2013)
International Journal of Applied Mathematics and Computer Science
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In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical...
The stability of collocation methods for higher-order Volterra integro-differential equations.
Rawashdeh, Edris, McDowell, Dave, Rakesh, Leela (2005)
International Journal of Mathematics and Mathematical Sciences
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Numerical solvability of a class of Volterra-Hammerstein integral equations with noncompact kernels.
Hadizadeh, M., Mohamadsohi, M. (2005)
Journal of Applied Mathematics
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The Abel-type polynomial identities.
Huang, Fengying, Liu, Bolian (2010)
The Electronic Journal of Combinatorics [electronic only]
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Existence and approximate solutions of nonlinear integral equations.
Karoui, Abderrazek (2005)
Journal of Inequalities and Applications [electronic only]
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Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme.
Nair, M.T., Rajan, M.P. (2001)
Abstract and Applied Analysis
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Extensions of the results on powers of -hyponormal and -hyponormal operators.
Yang, Changsen, Yuan, Jiangtao (2006)
Journal of Inequalities and Applications [electronic only]
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Strong and weak order of time discretization schemes of stochastic differential equations
Yao-Zhong Hu (1996)
Séminaire de probabilités de Strasbourg
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A full discretization of the time-dependent Navier-Stokes equations by a two-grid scheme
Hyam Abboud, Toni Sayah (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study a two-grid scheme fully discrete in time and space for solving the Navier-Stokes system. In the first step, the fully non-linear problem is discretized in space on a coarse grid with mesh-size and time step In the second step, the problem is discretized in space on a fine grid with mesh-size and the same time step, and linearized around the velocity computed in the first step. The two-grid strategy is motivated by the fact that under suitable assumptions,...