Results 1 to 10 of about 33,160 (194)

Three real-space discretization techniques in electronic structure calculations

open access: yes, 2006
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
core   +2 more sources

Adaptive transient solution of nonuniform multiconductor transmission lines using wavelets [PDF]

open access: yes, 2000
—This paper presents a highly adaptive algorithm for the transient simulation of nonuniform interconnects loaded with arbitrary nonlinear and dynamic terminations.
Grivet-Talocia, S.
core   +2 more sources

APPROXIMATELY SINGULAR WAVELET

open access: yesСистемный анализ и прикладная информатика, 2018
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
doaj   +1 more source

The Galerkin method for the numerical solution of some class of differential equations by utilizing Gegenbauer wavelets

open access: yesJournal of Innovative Applied Mathematics and Computational Sciences
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
doaj   +1 more source

Adaptive Wavelet Collocation Method for Simulation of Time Dependent Maxwell's Equations [PDF]

open access: yes, 2012
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
core   +3 more sources

A novel wavelet based hybrid method for finding the solutions of higher order boundary value problems

open access: yesAin Shams Engineering Journal, 2018
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
doaj   +1 more source

Un método Wavelet-Galerkin para ecuaciones diferenciales parciales parabólicas [PDF]

open access: yes, 2014
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
core   +1 more source

ENO-wavelet transforms for piecewise smooth functions [PDF]

open access: yes, 2002
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.
core   +2 more sources

Hermite–Gauss wavelets: synthesis of discrete forms and investigation of properties

open access: yesНаучно-технический вестник информационных технологий, механики и оптики
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
doaj   +1 more source

Haar wavelets multi-resolution collocation procedures for two-dimensional nonlinear Schrödinger equation

open access: yesAlexandria Engineering Journal, 2021
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
doaj   +1 more source

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