Articles with "spectral method" as a keyword



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A fractional spectral method with applications to some singular problems

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Published in 2017 at "Advances in Computational Mathematics"

DOI: 10.1007/s10444-016-9511-y

Abstract: In this paper we propose and analyze fractional spectral methods for a class of integro-differential equations and fractional differential equations. The proposed methods make new use of the classical fractional polynomials, also known as Müntz… read more here.

Keywords: applications singular; integro differential; spectral method; differential equations ... See more keywords
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A fully diagonalized spectral method using generalized Laguerre functions on the half line

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Published in 2017 at "Advances in Computational Mathematics"

DOI: 10.1007/s10444-017-9522-3

Abstract: A fully diagonalized spectral method using generalized Laguerre functions is proposed and analyzed for solving elliptic equations on the half line. We first define the generalized Laguerre functions which are complete and mutually orthogonal with… read more here.

Keywords: laguerre functions; diagonalized spectral; generalized laguerre; method ... See more keywords
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Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation

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Published in 2020 at "Advances in Computational Mathematics"

DOI: 10.1007/s10444-020-09789-9

Abstract: We consider fully discrete schemes based on the scalar auxiliary variable (SAV) approach and stabilized SAV approach in time and the Fourier-spectral method in space for the phase field crystal (PFC) equation. Unconditionally, energy stability… read more here.

Keywords: fourier spectral; phase field; spectral method; field crystal ... See more keywords
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Pricing multi-asset option problems: a Chebyshev pseudo-spectral method

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Published in 2019 at "BIT Numerical Mathematics"

DOI: 10.1007/s10543-018-0722-0

Abstract: The aim of this paper is to contribute a new second-order pseudo-spectral method via a non-uniform distribution of the computational nodes for solving multi-asset option pricing problems. In such problems, the prices are required to… read more here.

Keywords: pseudo spectral; spectral method; asset option; multi asset ... See more keywords
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A Second-Order Operator Splitting Fourier Spectral Method for Models of Epitaxial Thin Film Growth

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Published in 2017 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-016-0340-4

Abstract: In this paper, we develop an operator splitting Fourier spectral method for models of epitaxial thin film growth with and without slope selection. A main idea of the method is to split the original equation… read more here.

Keywords: fourier spectral; splitting fourier; method; spectral method ... See more keywords
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Analysis of a Chebyshev-type spectral method for the Korteweg-de Vries equation in the real line

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Published in 2018 at "Afrika Matematika"

DOI: 10.1007/s13370-018-0635-8

Abstract: Many problems in science and engineering involve nonlinear PDEs which are posed on the real line ($${\mathbb {R}}$$R). Particular examples include a number of important nonlinear wave equations. A rigorous numerical analysis of such problems… read more here.

Keywords: chebyshev type; spectral method; vries equation; korteweg vries ... See more keywords
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Attitude Maneuver of Dual Rigid Bodies Spacecraft Using hp-Adaptive Pseudo-spectral Method

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Published in 2019 at "International Journal of Aeronautical and Space Sciences"

DOI: 10.1007/s42405-018-0127-y

Abstract: Abstract The spatial attitude optimal control problem of a spacecraft system with dual rigid bodies interconnected by a frictionless universal joint is considered. Based on the conservation of angular momentum, the dynamical model of the… read more here.

Keywords: system; pseudo spectral; method; rigid bodies ... See more keywords
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A discontinuous Galerkin fast spectral method for the multi-species Boltzmann equation

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Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2019.04.015

Abstract: Abstract We introduce a fast Fourier spectral method for the multi-species Boltzmann collision operator. The method retains the advantages of the single-species fast spectral method Gamba et al. (2017) including: (a) spectral accuracy, (b) reduced computational… read more here.

Keywords: fast spectral; method multi; multi species; method ... See more keywords
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Predicting radiative heat transfer in axisymmetric cylindrical enclosures using the collocation spectral method

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Published in 2020 at "International Communications in Heat and Mass Transfer"

DOI: 10.1016/j.icheatmasstransfer.2020.104789

Abstract: Abstract In this paper, the collocation spectral method (CSM) is extended to solve the radiative transfer equation (RTE) in two-dimensional axisymmetric cylindrical medium, and an iterative solver based on Schur decomposition is developed for the… read more here.

Keywords: csm; axisymmetric cylindrical; method; spectral method ... See more keywords
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On the evaluation of rock integrity around mine workings with anchorage by the shock-spectral method

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Published in 2018 at "International Journal of Fatigue"

DOI: 10.1016/j.ijfatigue.2018.01.034

Abstract: Abstract The goal of this study is to investigate the integrity of gypsum-containing rocks during underground mining using non-destructive testing (NDT) anchors by the shock-spectral method. Studies were conducted in-situ at a gypsum deposit in… read more here.

Keywords: shock spectral; spectral method; integrity; rock integrity ... See more keywords
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A novel spectral method for cross-wind vibrations: Application to 27 full-scale chimneys

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Published in 2017 at "Journal of Wind Engineering and Industrial Aerodynamics"

DOI: 10.1016/j.jweia.2017.10.014

Abstract: Abstract The paper presents a collection of full-scale data selected from literature concerning measurements of cross-wind vibrations of chimneys. They belong to the original set of data, from which current codified methodologies - the Spectral… read more here.

Keywords: full scale; cross wind; spectral method; method ... See more keywords