Results 41 to 50 of about 3,037 (220)

High-Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures [PDF]

, 2012
This thesis presents a novel approach for the numerical solution of problems of diffraction by infinitely thin screens and apertures. The new methodology relies on combination of weighted versions of the classical operators associated with the Dirichlet ...
Lintner, Stéphane Karl
core   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]

, 2013
This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE, Natroshvili, D, Chkadua, O   +2 more
core   +1 more source

Bregman Wave Distribution Function Method

Radio Science, Volume 61, Issue 7, July 2026.
Abstract This study proposes a wave distribution function (WDF) estimation method based on minimizing the Bregman divergence in the function space. The proposed method is entirely data‐driven and requires no hyperparameter tuning during the estimation process. It can be regarded as an extension of the maximum entropy method.
Ryosei Nakazawa, Mamoru Ota, Yoshiya Kasahara   +2 more
wiley   +1 more source

A new hybrid orthonormal Bernstein and improved block-pulse functions method for solving mathematical physics and engineering problems

Alexandria Engineering Journal, 2020
In this paper, numerical solution of the linear second kind Fredholm integral equations is studied. These integral equations are widely used for solving many problems in mathematical physics and engineering.
Mohamed Ramadan, Heba S. Osheba
doaj   +1 more source

Computation of semi-analytical solutions of fuzzy nonlinear integral equations

Advances in Difference Equations, 2020
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah, Aman Ullah, Kamal Shah, Dumitru Baleanu   +3 more
doaj   +1 more source

A general theory of inverse welfare functions

Theoretical Economics, Volume 21, Issue 3, Page 973-1018, July 2026.
This paper develops a general theory to recover the inverse welfare function that rationalizes a given tax schedule as optimal. Our theory allows for complex environments including the presence of multidimensional tax schedules, bunching/jumping behavior, optimization frictions, general equilibrium effects, and externalities.
Katy Bergstrom, William Dodds
wiley   +1 more source

Scattering by one-dimensional rough surfaces [PDF]

, 1994
We consider the two-dimensional Dirichlet boundary value problem for the Helmholtz equation in a non-locally perturbed half-plane. We look for a solution in the form of a double-layer potential using, as fundamental solution, the Green's function for the
Chandler-Wilde, SN, Ross, CR
core  

A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
doaj   +1 more source

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin, Nina Beranek, Gajendra Babu Budihala, Matthias Mettenleiter, Goksu Oruc, Karsten Urban   +5 more
wiley   +1 more source