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   Articles with "collocation" as a keyword



The Leading Role of Atomic Oxygen in the Collocation of Elves and Hydroxyl Nightglow in the Low-Latitude Mesosphere

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recommendations! Published in 2017 at "Journal of Geophysical Research"

DOI: 10.1002/2016ja023681

Abstract: The elve is the dominant type of transient luminous event (TLE) at the base of the E region ionosphere. The hydroxyl nightglow (OH* nightglow hereafter) has been reported at a similar altitude. Statistical studies show… read more here.

Keywords: low latitude; collocation elves; collocation; hydroxyl nightglow ... See more keywords

A mixed DOF collocation method for elastic problems in heterogeneous structure

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recommendations! Published in 2019 at "International Journal for Numerical Methods in Engineering"

DOI: 10.1002/nme.6087

Abstract: In this paper, a collocation method with mixed degrees of freedom (DOFs) is proposed for heterogeneous structures. Local tractions of the outer and interface boundaries are introduced as DOFs in the mixed collocation scheme. Then,… read more here.

Keywords: collocation; stiffness matrix; heterogeneous structure; collocation method ... See more keywords

An Improved Extrapolated Collocation Technique for Singularly Perturbed Problems using Cubic B-Spline Functions

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recommendations! Published in 2021 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-021-01738-0

Abstract: In this paper, an improved extrapolated collocation method with cubic B-spline as basis functions is presented. This method is applied to a class of self-adjoint singularly perturbed boundary value problems, with the equispaced discretization of… read more here.

Keywords: cubic spline; extrapolated collocation; singularly perturbed; collocation ... See more keywords

Unisolvence of Randomized MultiQuadric Kansa Collocation for Convection–Diffusion with Mixed Boundary Conditions

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recommendations! Published in 2025 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-025-02918-y

Abstract: We make a further step in the open problem of unisolvence for unsymmetric Kansa collocation, proving that the MultiQuadric Kansa method with fixed collocation points and random fictitious centers is almost surely unisolvent, for stationary… read more here.

Keywords: collocation; mixed boundary; multiquadric kansa; convection diffusion ... See more keywords

Retrieval of refractivity fields from GNSS tropospheric delays: theoretical and data-based evaluation of collocation methods and comparisons with GNSS tomography

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recommendations! Published in 2024 at "Journal of Geodesy"

DOI: 10.1007/s00190-024-01903-9

Abstract: This paper focuses on the retrieval of refractivity fields from GNSS measurements by means of least-squares collocation. Collocation adjustment estimates parameters that relate delays and refractivity without relying on a grid. It contains functional and… read more here.

Keywords: refractivity fields; refractivity; retrieval refractivity; collocation ... See more keywords
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Chebyshev–Gauss–Lobatto collocation method for variable-order time fractional generalized Hirota–Satsuma coupled KdV system

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recommendations! Published in 2020 at "Engineering with Computers"

DOI: 10.1007/s00366-020-01125-5

Abstract: In this paper, the Chebyshev–Gauss–Lobatto collocation method is developed for studying the variable-order (VO) time fractional model of the generalized Hirota–Satsuma coupled KdV system arising in interaction of long waves. To define this new system,… read more here.

Keywords: collocation; system; gauss lobatto; chebyshev gauss ... See more keywords

Shifted fractional Legendre spectral collocation technique for solving fractional stochastic Volterra integro-differential equations

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recommendations! Published in 2021 at "Engineering With Computers"

DOI: 10.1007/s00366-020-01263-w

Abstract: This paper presents a spectral collocation technique to solve fractional stochastic Volterra integro-differential equations (FSV-IDEs). The algorithm is based on shifted fractional order Legendre orthogonal functions generated by Legendre polynomials. The shifted fractional order Legendre–Gauss–Radau… read more here.

Keywords: shifted fractional; collocation technique; fractional stochastic; collocation ... See more keywords
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Analysis of collocation methods for nonlinear Volterra integral equations of the third kind

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recommendations! Published in 2019 at "Calcolo"

DOI: 10.1007/s10092-019-0304-9

Abstract: We study the approximation of solutions of a class of nonlinear Volterra integral equations (VIEs) of the third kind by using collocation in certain piecewise polynomial spaces. If the underlying Volterra integral operator is not… read more here.

Keywords: integral equations; volterra integral; third kind; collocation ... See more keywords

A new mixed MADM-Collocation approach for solving a class of Lane–Emden singular boundary value problems

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recommendations! Published in 2019 at "Journal of Mathematical Chemistry"

DOI: 10.1007/s10910-018-00995-x

Abstract: In this paper, a new approach is proposed for solving a class of singular boundary value problems of Lane–Emden type. It is well known that the Adomian decomposition method (ADM) fails to provide a convergent… read more here.

Keywords: singular boundary; collocation; method; value ... See more keywords

A Fractional Spectral Collocation for Solving Second Kind Nonlinear Volterra Integral Equations with Weakly Singular Kernels

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recommendations! Published in 2019 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-019-00987-2

Abstract: The classical integer-order Jacobi spectral methods for solving second kind nonlinear Volterra integral equations with weakly singular kernels may cause a low-order accuracy in numerically approximating the exact solution. To overcome the shortcomings, we in… read more here.

Keywords: collocation; integral equations; volterra integral; fractional spectral ... See more keywords

An Adaptive Collocation Method for Solving Delay Fractional Differential Equations

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recommendations! Published in 2019 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-019-0737-5

Abstract: In this article, an adaptive collocation method is investigated for solving delay fractional differential equations (DFDEs). The fractional derivative is described in the Caputo–Fabrizio sense, that is a new fractional derivative with non-singular kernel. This… read more here.

Keywords: collocation; method; solving delay; adaptive collocation ... See more keywords