Results 21 to 30 of about 49,244 (358)

Optimized Schwarz methods for Maxwell's equations [PDF]

open access: yes, 2009
Over the last two decades, classical Schwarz methods have been extended to systems of hyperbolic partial differential equations, using characteristic transmission conditions, and it has been observed that the classical Schwarz method can be convergent ...
Dolean Maini, Victorita   +6 more
core   +2 more sources

Potentials for the singular elliptic equations and their application

open access: yesResults in Applied Mathematics, 2020
Potential theory has played a paramount role in both analysis and computation for boundary value problems for elliptic equations. In the middle of the last century, a potential theory was constructed for a two-dimensional elliptic equation with one ...
T.G. Ergashev
doaj   +1 more source

Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics

open access: yesJournal of Applied Mathematics, 2013
We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
doaj   +1 more source

A Deep Neural Network Algorithm for Semilinear Elliptic PDEs with Applications in Insurance Mathematics

open access: yesRisks, 2020
In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner   +2 more
doaj   +1 more source

Elliptic Combinatorics and Markov Processes [PDF]

open access: yes, 2012
We present combinatorial and probabilistic interpretations of recent results in the theory of elliptic special functions (due to, among many others, Frenkel, Turaev, Spiridonov, and Zhedanov in the case of univariate functions, and Rains in the ...
Betea, Dan Dumitru
core   +1 more source

Existence of positive weak solutions for a class of singular elliptic equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
In this note, we are concerned with positive solutions for a class of singular elliptic equations. Under some conditions, we obtain weak solutions for the equations by elliptic regularization method and sub-super solution method.
Li Xia, Jingna Li, Zheng'an Yao
doaj   +1 more source

A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems

open access: yesTikrit Journal of Pure Science, 2022
In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
doaj   +1 more source

Positive Solutions for Perturbed Fractional p-Laplacian Problems

open access: yesFractal and Fractional, 2022
In this article, we consider a class of quasilinear elliptic equations involving the fractional p-Laplacian, in which the nonlinear term satisfies subcritical or critical growth.
Mengfei Tao, Binlin Zhang
doaj   +1 more source

Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

open access: yesJournal of Applied Mathematics, 2012
We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
doaj   +1 more source

Upper bound for the height of S-integral points on elliptic curves [PDF]

open access: yes, 2013
We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea   +3 more
core   +1 more source

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