A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross–Pitaevskii equations
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DOI: 10.1007/s10444-020-09769-z
Abstract: In this paper, a sine pseudo-spectral-difference scheme that preserves the discrete mass and energy is presented and analyzed for the coupled Gross–Pitaevskii equations with Dirichlet boundary conditions in several spatial dimensions. The Crank–Nicolson finite difference… read more here.
Keywords: pseudo spectral; difference; sine pseudo; coupled gross ... See more keywords
A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions
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DOI: 10.1007/s10444-020-09781-3
Abstract: In this paper, we propose a linearly implicit Fourier pseudo-spectral scheme, which preserves the total mass and energy conservation laws for the damped nonlinear Schrödinger equation in three dimensions. With the aid of the semi-norm… read more here.
Keywords: pseudo spectral; fourier pseudo; nonlinear schr; damped nonlinear ... See more keywords
Pricing multi-asset option problems: a Chebyshev pseudo-spectral method
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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
A Deuflhard-Type Exponential Integrator Fourier Pseudo-Spectral Method for the “Good” Boussinesq Equation
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DOI: 10.1007/s10915-020-01192-2
Abstract: We propose a Deuflhard-type exponential integrator Fourier pseudo-spectral (DEI-FP) method for solving the “Good” Boussinesq (GB) equation. The numerical scheme is based on a Deuflhard-type exponential integrator and a Fourier pseudo-spectral method for temporal and… read more here.
Keywords: pseudo spectral; fourier pseudo; deuflhard type; integrator fourier ... See more keywords
Attitude Maneuver of Dual Rigid Bodies Spacecraft Using hp-Adaptive Pseudo-spectral Method
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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
Efficient and Robust Inverse Simulation Techniques Using Pseudo-Spectral Integrator with Applications to Rotorcraft Aggressive Maneuver Analyses
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DOI: 10.1007/s42405-019-00160-x
Abstract: This paper intends to propose new inverse simulation techniques to cope with the numerical stability and accuracy problems frequently encountered with the integration inverse simulation methods widely used today. To achieve this, the pseudo-spectral method… read more here.
Keywords: rotorcraft aggressive; pseudo spectral; inverse simulation; simulation techniques ... See more keywords
Pseudo-spectral method for controlling the drug dosage in cancer.
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DOI: 10.1049/iet-syb.2020.0054
Abstract: A mixed chemotherapy-immunotherapy treatment protocol is developed for cancer treatment. Chemotherapy pushes the trajectory of the system towards the desired equilibrium point, and then immunotherapy alters the dynamics of the system by affecting the parameters… read more here.
Keywords: system; pseudo spectral; drug; cancer ... See more keywords
Fractional pseudo-spectral methods for distributed-order fractional PDEs
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DOI: 10.1080/00207160.2017.1421949
Abstract: ABSTRACT We develop a pseudo-spectral method of Petrov–Galerkin sense, employing nodal expansions in the weak formulation of distributed-order fractional partial differential equations. We define the underlying distributed Sobolev spaces and the associated norms. Then, we… read more here.
Keywords: pseudo spectral; distributed order; order; spectral methods ... See more keywords
Trajectory plan for an ultra-short distance on-orbit service based on the Gaussian pseudo-spectral method
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DOI: 10.1109/jas.2017.7510892
Abstract: Considering the ultra-short distance approaching plan of on-orbit service, the trajectory plan strategy based on the Gaussian pseudo-spectral method is researched. Given the target spinning, safety, fuel and maneuver factors, a model which contains a… read more here.
Keywords: pseudo spectral; orbit service; trajectory; based gaussian ... See more keywords
Domain Decomposition for Large-Scale Viscoacoustic Wave Simulation Using Localized Pseudo-Spectral Method
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DOI: 10.1109/tgrs.2020.3006614
Abstract: Wave simulation in absorptive media using decoupled fractional Laplacian wave equation has received widespread attention in recent years, largely due to its precise description of frequency independent $Q$ and easy attenuation compensation in seismic processing.… read more here.
Keywords: pseudo spectral; wave; inline formula; spectral method ... See more keywords