Results 11 to 20 of about 27,855,056 (325)
Collocation Methods for Volterra Integral and Integro-Differential Equations: A Review
Axioms, 2018 We present a collection of recent results on the numerical approximation of Volterra integral equations and integro-differential equations by means of collocation type methods, which are able to provide better balances between accuracy and stability ...
Angelamaria Cardone +3 more
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On the asymptotic convergence of collocation methods [PDF]
Mathematics of Computation, 1983 We prove quasioptimal and optimal order estimates in various Sobolev norms for the approximation of linear strongly elliptic pseudodifferential equations in one independent variable by the method of nodal collocation by odd degree polynomial splines.
Douglas N. Arnold, Wolfgang L. Wendland
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Computable error bounds for collocation methods [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 This paper deals with error bounds for numerical solutions of linear ordinary differential equations by global or piecewise polynomial collocation methods which are based on consideration of the involved differential operator, related matrices and the ...
A. H. Ahmed
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An Introduction to Isogeometric Collocation Methods
, 2015 Within the framework of isogeometric analysis, collocation methods have been recently proposed as an interesting strong form alternative to standard Galerkin approaches, characterized by a significantly reduced computational cost, but still guaranteeing higher order convergence rates.
REALI, ALESSANDRO, T. J. R. Hughes
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Journal of King Saud University - Engineering Sciences, 2000 Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of Laguerre polynomials to obtain the inlet concentration.
M.A. Soliman
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Direct Collocation Methods for Trajectory Optimization in Constrained Robotic Systems [PDF]
IEEE Transactions on robotics, 2023 Direct collocation methods are powerful tools to solve trajectory optimization problems in robotics. While their resulting trajectories tend to be dynamically accurate, they may also present large kinematic errors in the case of constrained mechanical ...
Ricard Bordalba +4 more
semanticscholar +1 more source
A local meshless radial basis functions based method for solving fractional integral equations [PDF]
Computational Algorithms and Numerical Dimensions, 2023 This paper presents a Localized Radial Basis Functions Collocation Method (LRBFCM) for numerically solving one and 2-dimensional Fractional Integral Equations (2D-FIEs).
Mehdi Radmanesh, Mohammad Ebadi
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Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Mathematics, 2021 In some previous works, two of the authors introduced a technique to design high-order numerical methods for one-dimensional balance laws that preserve all their stationary solutions. The basis of these methods is a well-balanced reconstruction operator.
Irene Gómez-Bueno +3 more
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Convergence of Collocation Methods for One Class of Impulsive Delay Differential Equations
Axioms, 2023 This paper is concerned with collocation methods for one class of impulsive delay differential equations (IDDEs). Some results for the convergence, global superconvergence and local superconvergence of collocation methods are given.
Zhiwei Wang, Guilai Zhang, Yang Sun
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Numerical Solution Of The Heat Equation By Cubic B-Spline Collocation Method
Eurasian Journal of Science and Engineering, 2023 This work proposes a numerical scheme for heat parabolic problem by implementing a collocation method with a cubic B-spline for a uniform mesh. The key idea of this method is to apply forward finite difference and Crank–Nicolson methods for time and ...
Hoshman Q. Hamad, Younis A. Sabawi
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