Results 181 to 190 of about 2,651 (216)
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A pseudospectral Walsh function method
Journal of the Franklin Institute, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sloss, B. G., Blyth, W. F.
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A multisymplectic pseudospectral method for seismic modeling
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The parallel Fourier pseudospectral method
Journal of Computational Physics, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pseudospectral and Galerkin Methods
1998Wave equations have been successfully discretized using all of the standard families of algorithms: finite difference, finite element, and spectral. Nevertheless, this volume will review only Chebyshev and Fourier spectral methods.
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Pseudospectral methods for Nagumo equation
International Journal for Numerical Methods in Biomedical Engineering, 2011Summary: We present two pseudospectral methods based on Fourier series and rational Chebyshev functions for solving the Nagumo equation. In each of the two presented methods the problem is reduced to a system of ordinary differential equations that is solved by the leapfrog difference scheme and the fourth-order Runge-Kutta method, respectively.
Dehghan, Mehdi, Fakhar-Izadi, Farhad
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A Hermite‐Lobatto Pseudospectral Method for Optimal Control
Asian Journal of Control, 2014AbstractA pseudospectral (PS) method based on Hermite interpolation and collocation at the Legendre‐Gauss‐Lobatto (LGL) points is presented for direct trajectory optimization and costate estimation of optimal control problems. A major characteristic of this method is that the state is approximated by the Hermite interpolation instead of the commonly ...
Liu, Yuanbo +3 more
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Pseudospectral methods for pricing options
Quantitative Finance, 2009Models with two or more risk sources have been widely applied in option pricing in order to capture volatility smiles and skews. However, the computational cost of implementing these models can be large—especially for American-style options. This paper illustrates how numerical techniques called ‘pseudospectral’ methods can be used to solve the partial
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New results on pseudospectral methods for optimal control
Automatica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojun Tang, Zhenbao Liu, Yu Hu
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A generalization of the Fourier pseudospectral method
Geophysics, 2010Abstract The Fourier pseudospectral (PS) method is generalized to the case of derivatives of nonnatural order (fractional derivatives) and irrational powers of the differential operators. The generalization is straightforward because the calculation of the spatial derivatives with the fast Fourier transform is performed in the ...
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AIAA/AAS Astrodynamics Specialist Conference and Exhibit, 2008
I. Michael Ross, Qi Gong, Pooya Sekhavat
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I. Michael Ross, Qi Gong, Pooya Sekhavat
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