Results 61 to 70 of about 3,669,023 (333)

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

A New Heterogeneous Multiscale Method for the Helmholtz Equation with High Contrast [PDF]

Multiscale Modeling & simulation, 2016
In this paper, we suggest a new heterogeneous multiscale method (HMM) for the Helmholtz equation with high contrast. The method is constructed for a setting as in Bouchitte and Felbacq [C. R.
Mario Ohlberger, B. Verfürth
semanticscholar   +1 more source

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

Application of the Banach Fixed-Point Theorem to the Scattering Problem at a Nonlinear Three-Layer Structure with Absorption

Fixed Point Theory and Applications, 2010
A method based on the Banach fixed-point theorem is proposed for obtaining certain solutions (TE-polarized electromagnetic waves) of the Helmholtz equation describing the reflection and transmission of a plane monochromatic wave at a nonlinear lossy ...
V. S. Serov, H. W. Schüermann, E. Svetogorova   +2 more
doaj   +2 more sources

Transmission problems for the Helmholtz equation for a rectilinear-circular lune [PDF]

Opuscula Mathematica, 2007
The question related to the construction of the solution of plane transmission problem for the Helmholtz equation in a rectilinear-circular lune is considered. An approach is proposed based on the method of partial domains and the principle of reflection
Volodymyr Denysenko
doaj  

Solving ill-posed Helmholtz problems with physics-informed neural networks

Journal of Numerical Analysis and Approximation Theory, 2023
We consider the unique continuation (data assimilation) problem for the Helmholtz equation and study its numerical approximation based on physics-informed neural networks (PINNs).
Mihai Nechita
doaj   +1 more source

LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro

Molecular Oncology, EarlyView.
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix, Daniel Samaga, Katharina Gehr, Benedek Dankó, Mohamed Schumann, Guido Drexler, Ahmed Alnatsha, Georg Beyer, Ujjwal Mahajan, Martin Selmansberger, Julia Mayerle, Claus Belka, Horst Zitzelsberger, Kirsten Lauber   +13 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

Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz Green function

, 2009
A new method is presented for Fourier decomposition of the Helmholtz Green Function in cylindrical coordinates, which is equivalent to obtaining the solution of the Helmholtz equation for a general ring source.
A. Erdélyi, A.P. Prudnikov, D.H. Werner, G. Matviyenko, G.N. Watson, H.M. Srivastava, H.S. Cohl, H.S. Cohl, Howard S. Cohl, I.S. Gradshteyn, J. Mathews, J.T. Conway, J.T. Conway, John T. Conway, M. Abramowitz, P.L. Overfelt, P.M. Morse, P.R. Prentice, S. Wolfram   +18 more
core   +1 more source