Results 21 to 30 of about 2,862 (195)

Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]

open access: yesMathematics and Computational Sciences, 2021
In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
doaj   +1 more source

Stochastic Analysis of Gaussian Processes via Fredholm Representation [PDF]

open access: yes, 2016
We show that every separable Gaussian process with integrable variance function admits a Fredholm representation with respect to a Brownian motion. We extend the Fredholm representation to a transfer principle and develop stochastic analysis by using it.
Sottinen, Tommi, Viitasaari, Lauri
core   +2 more sources

Evans function and Fredholm determinants [PDF]

open access: yes, 2014
We explore the relationship between the Evans function, transmission coefficient and Fredholm determinant for systems of first order linear differential operators on the real line.
Karambal, Issa, Malham, Simon J. A
core   +3 more sources

An inverse problem for a nonlinear Fredholm integro-differential equation of fourth order with degenerate kernel

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
doaj   +1 more source

A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions [PDF]

open access: yes, 2014
We study the analog of semi-separable integral kernels in $\mathcal{H}$ of the type $$ K(x,x')=\begin{cases} F_1(x)G_1(x ...
Gesztesy, Fritz, Nichols, Roger
core   +1 more source

Al'brekht's Method in Infinite Dimensions [PDF]

open access: yes, 2020
In 1961 E. G. Albrekht presented a method for the optimal stabilization of smooth, nonlinear, finite dimensional, continuous time control systems.
Krener, AJ
core   +3 more sources

Fredholm-Volterra Integral Equation in the Contact Problem [PDF]

open access: yesMathematical and Computational Applications, 2002
In this paper, under certain condition the Fredholm-Volterra integral equation of the first kind is solved. The existence. and uniqueness of the solution is considered. The Fredholm integral equation of the second kind is established from the work, and its solution is also obtained.
openaire   +2 more sources

New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications

open access: yesAbstract and Applied Analysis, 2014
Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
doaj   +1 more source

Barycentric Interpolation Collocation Method for Solving Fractional Linear Fredholm-Volterra Integro-Differential Equation

open access: yesJournal of Function Spaces, 2023
In this article, barycentric interpolation collocation method (BICM) is presented to solve the fractional linear Fredholm-Volterra integro-differential equation (FVIDE).
Jin Li, Kaiyan Zhao, Xiaoning Su
doaj   +1 more source

Semi-spectral Chebyshev method in Quantum Mechanics [PDF]

open access: yes, 2006
Traditionally, finite differences and finite element methods have been by many regarded as the basic tools for obtaining numerical solutions in a variety of quantum mechanical problems emerging in atomic, nuclear and particle physics, astrophysics ...
A. Deloff   +34 more
core   +2 more sources

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