Results 71 to 80 of about 30,405 (240)
A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations
Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi +2 more
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Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja +3 more
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 19, 15 October 2025.ABSTRACT A Truncated Weighted Singular Value Decomposition (TWSVD) based approach is proposed for the Tikhonov regularized solution of the ill‐posed softening type nonlocal plasticity model. Tikhonov regularization provides a stable, smooth, and mesh‐independent solution of integral‐type nonlocal plasticity, but is computationally expensive for large ...
Albert Dahal, Luis Ibarra
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Perturbation theory of p-adic Fredholm and semi-Fredholm operators
Indagationes Mathematicae, 2004 Let \(X,Y\) be a non-archimedean (n.a.) Banach spaces over a n.a. valued field \(\mathbb K\,\) [see \textit{A. C. M. van Rooij,} Non-Archimedean functional analysis (1978; Zbl 0396.46061)]. A continuous linear operator \(T:X\to Y\) is called semi-Fredholm\((-)\) provided that \(\eta(T):= \dim \ker(T) < \infty\) and the range \(R(T)\) is closed in \(Y,\)
Perez-Garcia, C, Vega, S
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Physically Based Feature Augmentation to Improve Classification Algorithm Performance
Engineering Reports, Volume 7, Issue 10, October 2025.Physical transformations of infrared remote sensing measurements are shown to improve classification performance. Physical transformations are more effective than those that are simply mathematical. Leveraging physical insight is broadly applicable to many types of problems and can lead to fewer measurements/simpler models for desired performance ...
Charles E. Davidson +2 more
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Global existence for Volterra-Fredholm type neutral impulsive functional integrodifferential equations [PDF]
Surveys in Mathematics and its Applications, 2012 n this paper, we study the global existence of solutions for the initial value problems for Volterra-Fredholm type neutral impulsive functional integrodifferential equations.
V. Vijayakumar +2 more
doaj
The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves
International Journal of Mathematics and Mathematical Sciences, 1998 The Neumann problem for the dissipative Helmholtz equation in a connected plane region bounded by closed and open curves is studied. The existence of classical solution is proved by potential theory. The problem is reduced to the Fredholm equation of the
P. A. Krutitskii
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Heat Transfer in n‐Dimensional Parallelepipeds Under Zero Dirichlet Conditions
Engineering Reports, Volume 7, Issue 10, October 2025.The graphical abstract visually summarizes the analytical study of heat propagation in an n‐dimensional domain: Top Left: Shows a unit cube transformed into a parallelepiped via an affine transformation, representing the geometric generalization of the domain.
Zafar Duman Abbasov +4 more
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On the Fredholm Theory of Multipliers [PDF]
Proceedings of the American Mathematical Society, 1994 Multipliers that are Fredholm operators on certain commutative semisimple Banach algebras may be characterized by means of a quotient algebra of multipliers.
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The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
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