Results 31 to 40 of about 6,984 (280)

Formulation of a T-Matrix Approach for a Piecewise-Homogeneous Anisotropic Medium Excited by a Spherical Sound Wave

Mathematics, 2023
A piecewise-homogeneous medium, consisting of anisotropic layers, is excited by a primary spherical sound wave due to a point source lying in the exterior of the medium or in one of its layers.
Andreas Kalogeropoulos, Nikolaos L. Tsitsas   +1 more
doaj   +1 more source

Solution of the modified Helmholtz equation using mixed boundary conditions in an equilateral triangle

Partial Differential Equations in Applied Mathematics
The modified Helmholtz equation qxx+qyy−4β2q=0, is one of the basic equations of classical mathematical physics. In this paper we have obtained the solution of the boundary-value problems for the modified Helmholtz equation in an equilateral triangle. An
Pratul Gadagkar, Subhash Kendre, Pooja Paratane   +2 more
doaj   +1 more source

On mean value properties involving a logarithm-type weight [PDF]

Mathematica Bohemica
Two new assertions characterizing analytically disks in the Euclidean plane $\mathbb{R}^2$ are proved. Weighted mean value property of positive solutions to the Helmholtz and modified Helmholtz equations are used for this purpose; the weight has a ...
Nikolay Kuznetsov
doaj   +1 more source

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.
ben-Avraham, Daniel, Fokas, Athanassios S.   +1 more
openaire   +2 more sources

Method of fundamental solutions for Neumann problems of the modified Helmholtz equation in disk domains

, 2022
The method of the fundamental solutions (MFS) is used to construct an approximate solution for a partial differential equation in a bounded domain. It is demonstrated by combining the fundamental solutions shifted to the points outside the domain and ...
Ei, Shin-Ichiro, Ochiai, Hiroyuki, Tanaka, Yoshitaro   +2 more
core   +1 more source

Desenvolvimento e aplicações do metodo da função de Green local modificado a equação de Helmholtz [PDF]

, 1992
Dissertação (mestrado) - Universidade Federal de Santa Catarina. Centro TecnologicoTodo método numérico necessita de um constante desenvolvimento e aprimoramento para estar atualizado com as novas formulações teóricas desenvolvidas e novos recursos de ...
Filippin, Carlo Giuseppe
core  

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

Modified boundary integral formulations for the Helmholtz equation

Journal of Mathematical Analysis and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Engleder, S., Steinbach, O.
openaire   +1 more source

RNA Sequencing Resolves Cryptic Pathogenic Variants in Mitochondrial Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Mitochondrial diseases are the most common inherited metabolic disorders, characterized by pronounced clinical and genetic heterogeneity that complicates molecular diagnosis. Although DNA‐based sequencing approaches have become standard in genetic testing, up to half of patients remain without a definitive diagnosis.
Zhimei Liu, Xin Duan, Fatemeh Peymani, Jia Wang, Chengjia Bao, Chaolong Xu, Ying Zou, Zixuan Zhang, Yunxi Zhang, Tongyue Li, Martin Pavlov, Junling Wang, Minhan Song, Tianyu Song, Xiaodi Han, Mingxi Sun, Danmin Shen, Ruoyu Duan, Huafang Jiang, Manting Xu, Holger Prokisch, Fang Fang   +21 more
wiley   +1 more source

A simplified two-dimensional boundary element method with arbitrary uniform mean flow

Theoretical and Applied Mechanics Letters, 2017
To reduce computational costs, an improved form of the frequency domain boundary element method (BEM) is proposed for two-dimensional radiation and propagation acoustic problems in a subsonic uniform flow with arbitrary orientation. The boundary integral
Bassem Barhoumi, Safa Ben Hamouda, Jamel Bessrour   +2 more
doaj   +1 more source