High Order Spectral Method
An Explicit, Stable, High-Order Spectral Method for the Wave Equation Based on Block Gaussian Quadrature
... yields high-order op- erator splittings (see [17]), it is worthwhile to consider whether it is best to use quadrature rules whose nodes are determined primarily by each basis function used to represent the ...
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Application of high-order spectral method for the time fractional mobile/immobile equation
... efficient method is proposed for the solution of time frac- tional mobile/immobile ...proposed method is based on a finite difference scheme in time and Legendre spectral method in ...of ...
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A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations
... FE method, and the FVE method (see, ...Fourier spectral method [15], and 2D Sobolev equations have recently been settled by the classic CS method ...CS method (see [16]) for 2D ...
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A highly efficient spectral Galerkin method based on tensor product for fourth order Steklov equation with boundary eigenvalue
... the high dimensional projective operator associated with the fourth-order Steklov equa- tion with boundary ...the spectral method of compact oper- ators, we obtain the satisfactory error ...
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Fast Estimation of Range and Bearing for a Single Near-field Source without Eigenvalue Decomposition
... tion method for a single near-field source is ...square method. In contrast to high-order statistics based methods, the proposed method can obtain the range and bearing estimation ...
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An effective spectral collocation method for the direct solution of high-order ODEs
... solving high-order ODEs was proposed ...collocation method is applicable to general high-order ODEs, where these equations can have variable coefficients, nonlinear terms, nonhomoge- ...
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A high-order Discontinuous Galerkin method for the seismic wave propagation
... famous method to solve this problem is the finite difference scheme of Virieux [22] which can be viewed as an adaptation to elastodynamic equations of the Yee’s scheme [23], very popular in ...This method ...
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Uncertainty Propagation and Sensitivity Analysis in Ray-Tracing Simulations
... a method that aims at computing the mean and standard deviation of the electric ...a high computational cost, we use spectral methods in order to optimize the number of ...In order to ...
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Spectral Tau method for solving general fractional order differential equations with linear functional argument
... Spectral methods have been developed through the last years for the numerical solu- tions of fractional differential equations. Compared to other numerical methods, spectral methods give high ...
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A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations
... However, most of the existing work were concerned with the second-order elliptic eigen- value problems and there are relatively few articles treating the biharmonic eigenvalue problems. In recent years, the ...
11
Spectral schemes on triangular elements
... The Poisson problem with homogeneous Dirichlet boundary conditions is considered on a tri- angle. The mapping between square and triangle is realized by mapping an edge of the square onto a corner of the triangle. Then ...
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Fourier Spectral Method for Solving Fractional order System
... Fourier spectral method in conjunction with the exponential time differencing scheme to numerically simulate the Rosenzweig-MacArthur fractional reaction-diffusion system with delay in the presence of ...
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A high-order hybridizable discontinuous galerkin method for gas kinetic equation
... a high-order hybridizable discontinuous Galerkin method for the solution of the linearized Boltzmann BGK and Shakhov kinetic model equations on arbitrary triangular ...
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Dependence of eigenvalues of 2mth-order spectral problems
... A regular 2mth-order spectral problem with self-adjoint boundary conditions is considered in this paper. The continuous dependence of eigenvalues and normalized eigenfunctions on the problem is researched. ...
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A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
... In this paper we use shifted Chebyshev polynomials of second kind and recall some important properties. Next we extend these polynomials to fractional type and obtain the operational matrix of fractional derivative. This ...
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Discontinuous Hermite Collocation and Diagonally Implicit RK3 for a Brain Tumour Invasion Model
... stable high order method, obtained from the coupling of a fourth order Discontinuous Hermite Collocation method with a third order Diagonally-implicit Runge-Kutta scheme, to ...
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One dimensional high order compact method for solving Euler’s equations
... a high-order compact (HOC) finite difference solver for one- dimensional Euler ...splitting method (AUSM) scheme which combines the accuracy of flux-difference splitting and the robustness of ...
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COMPRESSIVE SPECTRAL RENORMALIZATION METHOD
... the Spectral Renormalization ...Another method known is the Petviashvili’s method which is based on transforming the governing nonlinear equation into Fourier space, as in the case of general Fourier ...
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Spectral Calibration Algorithm for the Geostationary Environment Monitoring Spectrometer (GEMS)
... the spectral calibration algorithm for GEMS, which uses a nonlinear least-squares ...of spectral parameters such as shift, spectral range for fitting, signal-to-noise ratio, spectral response ...
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High Order Finite Difference Method for Helmholtz Equation in Polar Coordinates
... Helmholtz equation has attracted much attention in many fields such as elec- tromagnetic cavity scattering problems [1], wave propagation [2] and acoustic problems [3]. Many methods have been proposed to solve the ...
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