Results 71 to 80 of about 33,160 (194)

Daubechies wavelets as a basis set for density functional pseudopotential calculations

, 2008
Daubechies wavelets are a powerful systematic basis set for electronic structure calculations because they are orthogonal and localized both in real and Fourier space.
Alexander Willand, Alexey Neelov, Anders Bergman, Damien Caliste, Goedecker S., Luigi Genovese, Mark Rayson, Oded Zilberberg, Pulay P., Reinhold Schneider, Seyed Alireza Ghasemi, Stefan Goedecker, Strang J., Thierry Deutsch   +13 more
core   +3 more sources

Split-step wavelet method for numerical simulation of optical pulse propagation

Acta Physica Sinica, 2005
The multi-scale wavelet decomposition and orthogonal wavelet transform are outli ned and applied to the representation of optical pulses. The nonlinear Schrdin ger(NSL) equation, which describes the pulse propagation in optical media, is us ed to represent the split-step operator form in wavelet domain.
null Chen Hong-Ping, null Wang Jian, null He Guo-Guang   +2 more
openaire   +1 more source

Nonorthogonal wavelet transformation for reconstructing gravitational wave signals

Physical Review Research, 2022
Detections of gravitational-wave signals from compact binary coalescences have enabled us to study extreme astrophysical phenomena and explore fundamental physics.
Soumen Roy
doaj   +1 more source

A Comparative Analysis of Wavelet-Based Collocation Algorithms for Solving Systems of Fractional Order Differential Equations

Journal of Applied Mathematics
Wavelet-based techniques have attracted the attention of researchers in solving systems of fractional order differential equations (FODEs) since they can detect singularities, are simple, have compact support, and are highly accurate with less ...
Vida Afosaa, Anthony Y. Aidoo, Nicholas Kwasi-Do Ohene Opoku, Joseph Ackora-Prah   +3 more
doaj   +1 more source

Solving optimal control problems with integral equations or integral equations - differential with the help of cubic B-spline scaling functions and wavelets

پژوهش‌های ریاضی, 2020
Introduction Optimal control problems (OCPs) appear in a wide class of applications. In the classical control problems, the state-space equations are expressed as differential equations.
Hamid Mesgarani, Hamid Safdari, Abolfazl Ghasemian   +2 more
doaj  

The numerical solution of singular initial value problems using Chebyshev wavelet collocation method

Ain Shams Engineering Journal, 2018
Wavelet analysis is a recently developed mathematical tool for many problems. In this paper, an efficient and new numerical method is proposed for the numerical solution of singular initial value problems, which is based on collocation points with ...
S.C. Shiralashetti, A.B. Deshi
doaj   +1 more source

An efficient spectral algorithm for non-linear astrophysical Lane–Emden problem using pseudo-Chebyshev wavelets with error analysis

Franklin Open
Mother wavelets play a crucial role in wavelet analysis, leading to the development of several well-known families such as Haar, Morlet, Legendre, and Chebyshev wavelets.
Susheel Kumar, Satish Kumar, Sudhir Kumar Mishra, Shyam Lal   +3 more
doaj   +1 more source

Chebyshev Wavelets Method for Solution of Nonlinear Fractional Integrodifferential Equations in a Large Interval

Advances in Mathematical Physics, 2013
An efficient Chebyshev wavelets method for solving a class of nonlinear fractional integrodifferential equations in a large interval is developed, and a new technique for computing nonlinear terms in such equations is proposed.
M. H. Heydari, M. R. Hooshmandasl, F. M. Maalek Ghaini, Ming Li   +3 more
doaj   +1 more source

Pricing asset-or-nothing options using Haar wavelet [PDF]

Mathematics and Modeling in Finance
This article proposes a new numerical technique for pricing asset-or-nothing options using the Black-Scholes partial differential equation (PDE). We first use the θ−weighted method to discretize the time domain, and then use Haar wavelets to approximate ...
Saeed Vahdati, Foad Shokrollahi
doaj   +1 more source

A New Efficient Method for the Numerical Solution of Linear Time-Dependent Partial Differential Equations

Axioms, 2018
This paper presents a new efficient method for the numerical solution of a linear time-dependent partial differential equation. The proposed technique includes the collocation method with Legendre wavelets for spatial discretization and the three-step ...
Mina Torabi, Mohammad-Mehdi Hosseini
doaj   +1 more source