Results 11 to 20 of about 571 (177)
Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method
International Journal of Aerospace Engineering, 2018 A mapped Chebyshev pseudospectral method is extended to solve three-dimensional unsteady flow problems. As the classical Chebyshev spectral approach can lead to numerical instabilities due to ill conditioning of the spectral matrix, the Chebyshev points ...
Jae-Young Choi +3 more
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East Asian Journal on Applied Mathematics, 2023 20 pages, 7 ...
Weizhu Bao +3 more
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EFFICIENT IMPLEMENTATION OF A COMPACT-PSEUDOSPECTRAL METHOD FOR TURBULENCE MODELING
TASK Quarterly, 2006 The paper is devoted to parallel implementation of a compact discretization scheme combined with the Fourier pseudospectral method. The idle time of processors resulting from the method of computating derivatives using compact schemes is eliminated by ...
ARTUR TYLISZCZAK
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Fourier pseudospectral methods for the spatial variable-order fractional wave equations
CoRR, 2023 In this paper, we propose Fourier pseudospectral methods to solve the variable-order space fractional wave equation and develop an accelerated matrix-free approach for its effective implementation. In constant-order cases, our methods can be efficiently implemented via the (inverse) fast Fourier transforms, and the computational cost at each time step ...
Shiping Zhou, Xiaofei Zhao, Yanzhi Zhang
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Rotational Solitary Wave Interactions Over an Obstacle
Trends in Computational and Applied Mathematics, 2022 In this work we investigate the propagation of rotational solitary waves over a submerged obstacle in a vertically sheared shallow water channel with constant vorticity. In the weakly nonlinear regime, the problem is formulated in the forced Korteweg-de
M. V. Flamarion
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Pseudospectral Fourier reconstruction with the modified Inverse Polynomial Reconstruction Method [PDF]
Journal of Computational Physics, 2010 The inverse polynomial reconstruction method (IPRM) was introduced by \textit{J.-H. Jung} and \textit{B. D. Shizgal} [J. Comput. Appl. Math. 172, No.~1, 131--151 (2004; Zbl 1053.65102)] in order to remedy the Gibbs phenomenon. Let \(f\) be a piecewise polynomial function defined on \([-1,\,1]\) and let \(m,\,n\in \mathbb N\) with \(m\geq n\) be given ...
Gröchenig, Karlheinz, Hrycak, Tomasz
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Simulation of seismic waves at the earth's crust (brittle–ductile transition) based on the Burgers model [PDF]
Solid Earth, 2014 The earth's crust presents two dissimilar rheological behaviors depending on the in situ stress-temperature conditions. The upper, cooler part is brittle, while deeper zones are ductile.
J. M. Carcione +3 more
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Fourier pseudo-spectral method for the extended Fisher-Kolmogorov equation in two dimensions
Advances in Difference Equations, 2017 In the study of pattern formation in bi-stable systems, the extended Fisher-Kolmogorov (EFK) equation plays an important role. In this paper, a Fourier pseudo-spectral method for solving the EFK equation in two space dimensions is presented. Prior bounds
Fengnan Liu, Xiaopeng Zhao, Bo Liu
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IEEE Access, 2020 Close-range formation flying of multiple satellites is an important technology for future space missions, where formation reconfiguration is a very important field and needs to design suitable flight paths and consider the risk of collisions between ...
Zichen Fan +4 more
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A Roadmap to Holographic Focused Ultrasound Approaches for Generating Gradient Thermal Patterns. [PDF]
Int J Numer Method Biomed EngThis study introduces a comprehensive roadmap for acousto‐thermal computational modeling approaches in the design of acoustic holographic lenses (AHLs) for therapeutic applications. Pressure‐based, temperature‐based, and machine‐learning techniques are compared using four different shape groups for the imposed target pattern.
Cengiz C +5 more
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