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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…
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Keywords:
applications singular;
integro differential;
spectral method;
differential equations ... See more keywords
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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…
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Keywords:
laguerre functions;
diagonalized spectral;
generalized laguerre;
method ... See more keywords
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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…
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Keywords:
fourier spectral;
phase field;
spectral method;
field crystal ... See more keywords
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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…
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Keywords:
pseudo spectral;
spectral method;
asset option;
multi asset ... See more keywords
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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…
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Keywords:
fourier spectral;
splitting fourier;
method;
spectral method ... See more keywords
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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…
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Keywords:
chebyshev type;
spectral method;
vries equation;
korteweg vries ... See more keywords
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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…
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Keywords:
system;
pseudo spectral;
method;
rigid bodies ... See more keywords
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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…
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Keywords:
fast spectral;
method multi;
multi species;
method ... See more keywords
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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…
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Keywords:
csm;
axisymmetric cylindrical;
method;
spectral method ... See more keywords
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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…
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Keywords:
shock spectral;
spectral method;
integrity;
rock integrity ... See more keywords
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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…
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Keywords:
full scale;
cross wind;
spectral method;
method ... See more keywords