Results 51 to 60 of about 129,913 (284)

Limiting absorption principle for the dissipative Helmholtz equation [PDF]

, 2009
Adapting Mourre's commutator method to the dissipative setting, we prove a limiting absorption principle for a class of abstract dissipative operators.
Amrein W., Benamou J.-D., Benamou J.-D., Cycon H.L., Engel K.J., Gérard C., Hörmander L., Jensen A., Jensen A., Jensen A., Julien Royer, Martinez A., Nagy S., Reed M., Reed M., Robert D., Robert D., Wang X.P., Wang X.P., Wang X.P., Wang X.P.   +20 more
core   +6 more sources

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

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

Methodological derivation of the eikonal equation

Discrete and Continuous Models and Applied Computational Science, 2023
Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly.
Arseny V. Fedorov, Christina A. Stepa, Anna V. Korolkova, Migran N. Gevorkyan, Dmitry S. Kulyabov   +4 more
doaj   +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

Comparative Analysis of Methods for Regularizing an Initial Boundary Value Problem for the Helmholtz Equation

Journal of Applied Mathematics, 2014
We consider an ill-posed initial boundary value problem for the Helmholtz equation. This problem is reduced to the inverse continuation problem for the Helmholtz equation.
Sergey Igorevich Kabanikhin, M. A. Shishlenin, D. B. Nurseitov, A. T. Nurseitova, S. E. Kasenov   +4 more
doaj   +1 more source

Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

Advances in Difference Equations, 2019
In this paper, a class of sixth-order finite difference schemes for the Helmholtz equation with inhomogeneous Robin boundary condition is derived.
Yang Zhang, Kun Wang, Rui Guo
doaj   +1 more source

Automatic CHIEF Point Selection for Finite Element–Boundary Element Acoustic Backscattering

Acoustics, 2023
Computing the backscattering of harmonic acoustic waves from underwater elastic targets of arbitrary shapes is a challenging problem of considerable practical significance.
Petr Krysl, Ahmad T. Abawi
doaj   +1 more source

Generalized Kirchhoff approximation for Helmholtz equation [PDF]

, 2014
We give integral formulas to approximate solutions of Dirichlet and Neumann problems for Helmholtz equation at high frequencies. These approximations are valid in the complementary of a union of convex compact obstacles.
Cuvelier, François
core   +1 more source

Exact nonparaxial beams of the scalar Helmholtz equation [PDF]

, 2003
It is shown that three-dimensional nonparaxial beams are described by the oblate spheroidal exact solutions of the Helmholtz equation. For the first time, their beam behaviour is investigated and their corresponding parameters are defined. Using the fact
Cao, Chavez-Cerda, Ciattoni, Deschamps, Gustavo Rodríguez-Morales, Kraus, Landesman, Lax, Lekner, Saari, Sabino Chávez-Cerda, Seshadri, Sheppard, Shin, Ulanowski   +14 more
core   +1 more source