Results 41 to 50 of about 27,855,056 (325)

Applications of Optimal Spline Approximations for the Solution of Nonlinear Time-Fractional Initial Value Problems

open access: yesAxioms, 2021
Nonlinear fractional differential equations are widely used to model real-life phenomena. For this reason, there is a need for efficient numerical methods to solve such problems.
Enza Pellegrino, Francesca Pitolli
doaj   +1 more source

High-Order Collocation Methods for Differential Equations with Random Inputs

open access: yesSIAM Journal on Scientific Computing, 2005
Recently there has been a growing interest in designing efficient methods for the solution of ordinary/partial differential equations with random inputs.
D. Xiu, J. Hesthaven
semanticscholar   +1 more source

Exponential Fourier collocation methods for solving first-order differential equations [PDF]

open access: yes, 2016
In this paper, a novel class of exponential Fourier collocation methods (EFCMs) is presented for solving systems of first-order ordinary differential equations.
Bin Wang   +3 more
semanticscholar   +1 more source

The linear rational collocation method

open access: yesJournal of Computational and Applied Mathematics, 2001
AbstractWe introduce the collocation method based on linear rational interpolation for solving general hyperbolic problems, prove its stability and its convergence in weighted norms and give numerical examples for its use.
Jean-Paul Berrut, Richard Baltensperger
openaire   +2 more sources

Exploring collocation development in L2 German from students’ perspective: A contrasting case study

open access: yesStudies in Second Language Learning and Teaching, 2023
Despite the growing body of studies on collocation learning in SLA research, there are hardly any studies taking the perspective of the individual learner or studies that have examined the effect of individual differences.
Griet Boone, June Eyckmans
doaj   +1 more source

Numerical Solution of Higher Index Nonlinear Integral Algebraic Equations of Hessenberg Type Using Discontinuous Collocation Methods

open access: yesMathematical Modelling and Analysis, 2014
In this paper, we deal with a system of linear and nonlinear integral algebraic equations (IAEs) of Hessenberg type. Convergence analysis of the discontinuous collocation methods is investigated for the large class of IAEs based on the new definitions ...
Babak Shiri
doaj   +1 more source

Approximating Solutions of Non-Linear Troesch’s Problem via an Efficient Quasi-Linearization Bessel Approach

open access: yesMathematics, 2021
Two collocation-based methods utilizing the novel Bessel polynomials (with positive coefficients) are developed for solving the non-linear Troesch’s problem.
Mohammad Izadi   +2 more
doaj   +1 more source

Crosstalk statistics via collocation method [PDF]

open access: yes2009 IEEE International Symposium on Electromagnetic Compatibility, 2009
A probabilistic model for the evaluation of transmission lines crosstalk is proposed. The geometrical parameters are assumed to be unknown and the exact solution is decomposed into two functions, one depending solely on the random parameters and the other on the frequency.
Diouf F., CANAVERO, Flavio
openaire   +4 more sources

Domain decomposition preconditioners for the spectral collocation method [PDF]

open access: yes, 1988
Several block iteration preconditioners are proposed and analyzed for the solution of elliptic problems by spectral collocation methods in a region partitioned into several rectangles.
Quarteroni, Alfio   +1 more
core   +2 more sources

Two-step collocation methods for fractional differential equations

open access: yes, 2018
We propose two-step collocation methods for the numerical solution of fractional differential equations. These methods increase the order of convergence of one-step collocation methods, with the same number of collocation points.
A. Cardone, D. Conte, B. Paternoster
semanticscholar   +1 more source

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