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Three real-space discretization techniques in electronic structure calculations
A characteristic feature of the state-of-the-art of real-space methods in electronic structure calculations is the diversity of the techniques used in the discretization of the relevant partial differential equations. In this context, the main approaches
Aichinger +174 more
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Adaptive transient solution of nonuniform multiconductor transmission lines using wavelets [PDF]
—This paper presents a highly adaptive algorithm for the transient simulation of nonuniform interconnects loaded with arbitrary nonlinear and dynamic terminations.
Grivet-Talocia, S.
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APPROXIMATELY SINGULAR WAVELET
The problem of approximation is relevant for most engineering applications. In this connection, the universal methods of approximation are of interest. The method of nonparametric approximation is developing in the paper – the method of singular wavelets.
V. M. Romanchak
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Many differential equations that emerge from modeling physical phenomena do not always possess well-known analytical solutions. Additionally, wavelets have attracted considerable attention from both theoretical and applied researchers in recent decades.
Lingaraj Angadi
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Adaptive Wavelet Collocation Method for Simulation of Time Dependent Maxwell's Equations [PDF]
This paper investigates an adaptive wavelet collocation time domain method for the numerical solution of Maxwell's equations. In this method a computational grid is dynamically adapted at each time step by using the wavelet decomposition of the field at ...
Freude, Wolfgang +3 more
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In this paper, a new wavelet based hybrid method is developed for obtaining the solution of higher order linear and nonlinear boundary value problems. The proposed method is based on approximation of solution by non-dyadic wavelets family with dilation ...
Geeta Arora, Ratesh Kumar, Harpreet Kaur
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Un método Wavelet-Galerkin para ecuaciones diferenciales parciales parabólicas [PDF]
In this paper an Adaptive Wavelet-Galerkin method for the solution ofparabolic partial differential equations modeling physical problems withdifferent spatial and temporal scales is developed.
Martín, María Teresa +1 more
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ENO-wavelet transforms for piecewise smooth functions [PDF]
We have designed an adaptive essentially nonoscillatory (ENO)-wavelet transform for approximating discontinuous functions without oscillations near the discontinuities. Our approach is to apply the main idea from ENO schemes for numerical shock capturing
Chan, Tony F., Zhou, H. M.
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Hermite–Gauss wavelets: synthesis of discrete forms and investigation of properties
Considered new results of studies of eigenvectors and vector functions of discrete and continuous Fourier transforms. It is known that such eigenvectors are products of the Gauss function on Hermite polynomials, a name is proposed for the functions ...
A. Yu. Grishentsev +2 more
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In this article, two different multi-resolution methods based on Haar wavelets are proposed for the numerical solution of two-dimensional Schrödinger equations. Both the linear and nonlinear model equations are considered.
Xuan Liu +5 more
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