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An Introduction to Fast Fourier Transform Methods for Partial Differential Equations, with Applications
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The article was published on 1986-01-01 and is currently open access. It has received 28 citations till now. The article focuses on the topics: Pseudo-spectral method & Fourier transform on finite groups.read more
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Physics and numerical simulation of single photon avalanche diodes
TL;DR: In this paper, the authors present results of the numerical simulation of the transient behavior of shallow junction single photon avalanche diodes (SPADs) and develop a bidimensional model for above breakdown simulations and show that the initially photogenerated charge density builds up locally by an avalanche multiplication process and then spreads over the entire detector area by a diffusion-assisted process.
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Matrix decomposition algorithms for elliptic boundary value problems: a survey
TL;DR: An overview of matrix decomposition algorithms (MDAs) for the solution of systems of linear equations arising when various discretization techniques are applied in the numerical solution of certain separable elliptic boundary value problems in the unit square is provided.
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An implicit difference method for the numerical solution of coupled systems of partial differential equations
Lucas Jódar,M. Legua Fernandez +1 more
TL;DR: In this paper, an explicit and computable solution for coupled partial difference systems appearing when one considers difference approximations of coupled systems of partial differential equations is given, based on the consideration of a discrete matrix separation of variables method.
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Numerical simulation of thermal convection of a viscoelastic fluid in a porous square box heated from below
TL;DR: In this paper, thermal convection of viscoelastic fluids in a closed-top porous square box heated from below is studied numerically based on a modified Darcy's law, where two characteristic time constants λ and e are used to describe the visco-elastic properties of the fluid.
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A fast modified sine transform for solving block-tridiagonal systems with Toeplitz blocks
TL;DR: Symmetries in the data vectors are exploited such that one modified sine transform can be computed in terms of one Fourier transform of half the length of the original one, hence requiringO(2.5nlog2n) operations.