Results 31 to 40 of about 63,984 (305)
The Solution of the modified Helmholtz equation in a wedge and an application to diffusion-limited coalescence [PDF]
Physics Letters A, 1999 The general solution of the modified Helmholtz equation, q_{xx}(x,y)+q_{yy}(x,y)-4b^2q(x,y)=0, in the wedge 0 < x < y < infinity, is presented. This solution is used to find the explicit steady-state of diffusion-limited coalescence, A+AA, on the half-line, with a trap-source at the origin.
Daniel ben-Avraham, Athanassios S. Fokas
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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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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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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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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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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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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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The complex Jacobi iterative method for three-dimensional wide-angle beam propagation [PDF]
, 2008 A
Bienstman, Peter +3 more
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Exploring the Origin of Maximum Entropy States Relevant to Resonant Modes in Modern Chladni Plates
Entropy, 2022 The resonant modes generated from the modern Chladni experiment are systematically confirmed to intimately correspond to the maximum entropy states obtained from the inhomogeneous Helmholtz equation for the square and equilateral triangle plates.
Yu-Hsin Shu +5 more
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