Results 31 to 40 of about 63,527 (207)
A Modified SSOR Preconditioning Strategy for Helmholtz Equations [PDF]
Journal of Applied Mathematics, 2011 The finite difference method discretization of Helmholtz equations usually leads to the large spare linear systems. Since the coefficient matrix is frequently indefinite, it is difficult to solve iteratively. In this paper, a modified symmetric successive overrelaxation (MSSOR) preconditioning strategy is constructed based on the coefficient matrix and
Wu, Shi-Liang, Li, Cui-Xia
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Application of DRBEM for 2D sine-Gordon equation
Journal of Taibah University for Science, 2021 This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
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A diffraction problem for the biharmonic wave equation in one-dimensional periodic structures
Results in Applied Mathematics, 2023 This work concerns the propagation of flexural waves through one-dimensional periodic structures embedded in thin elastic plates. We show that the out-of-plane displacement of the plate only contains the Helmholtz wave component and the modified ...
Junhong Yue +3 more
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Modified Representations for the Close Evaluation Problem
Mathematical and Computational Applications, 2021 When using boundary integral equation methods, we represent solutions of a linear partial differential equation as layer potentials. It is well-known that the approximation of layer potentials using quadrature rules suffer from poor resolution when ...
Camille Carvalho
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Approximation of mild solutions of the linear and nonlinear elliptic equations [PDF]
, 2014 In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form \[ \frac{\partial^{2}}{\partial t^{2}}u\left(t\right)=\mathcal{A}u\left(t\right)+f\left(t,u\left(t\right)\right)
Dang Duc Trong +4 more
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Rough surface backscatter and statistics via extended parabolic integral equation [PDF]
, 2015 This paper extends the parabolic integral equation method, which is very effective for forward scattering from rough surfaces, to include backscatter.
Spivack, Mark, Spivack, Orsola Rath
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Mathematics, 2022 Inhomogeneous elliptical inclusions with partial differential equations have aroused appreciable concern in many disciplines. In this paper, a pseudo-spectral collocation method, based on Fourier basis functions, is proposed for the numerical solutions ...
Xiao Wang +3 more
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Boundary-integral method for poloidal axisymmetric AC magnetic fields [PDF]
, 2006 This paper presents a boundary-integral equation (BIE) method for the calculation of poloidal axisymmetric magnetic fields applicable in a wide range of ac frequencies.
Gerbeth, G., Priede, J.
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Solvo-osmotic flow in electrolytic mixtures [PDF]
, 2017 We show that an electric field parallel to an electrically neutral surface can generate flow of electrolytic mixtures in small channels. We term this solvo-osmotic flow, since the flow is induced by the asymmetric preferential solvation of ions at the ...
Samin, Sela, van Roij, René
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