Results 31 to 40 of about 230,660 (338)
Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal 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
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Solving Elliptic Diophantine Equations Avoiding Thue Equations and Elliptic Logarithms [PDF]
Experimental Mathematics, 1998 We determine the solutions in integers of the equation y2 = (x + p)(x2 + p2) for p = 167, 223, 337, 1201. The method used was suggested to us by Yu. Bilu, and is shown to be in some cases more efficient than other general purpose methods for solving such equations, namely the elliptic logarithms method and the use of Thue equations.
openaire +4 more sources
, 2004 A new approach to the analytic theory of difference equations with rational and elliptic coefficients is proposed. It is based on the construction of canonical meromorphic solutions which are analytical along "thick paths".
Krichever, I.
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Discontinuous hp-Finite Element Methods for Advection-Diffusion Problems [PDF]
, 2000 We consider the hp-version of the discontinuous Galerkin finite element method for second-order partial differential equations with nonnegative characteristic form.
Houston, P. +2 more
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Risks, 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
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A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems
Tikrit 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
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Singular Solutions of Hessian Fully Nonlinear Elliptic Equations [PDF]
, 2010 We study Hessian fully nonlinear uniformly elliptic equations and show that the second derivatives of viscosity solutions of those equations (in 12 or more dimensions) can blow up in an interior point of the domain.
Nadirashvili, Nikolai, Vladuts, Serge
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Elliptic solutions to difference non-linear equations and related many-body problems
, 1997 We study algebro-geometric (finite-gap) and elliptic solutions of fully discretized KP or 2D Toda equations. In bilinear form they are Hirota's difference equation for $\tau$-functions.
Krichever, I. +2 more
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On families of 9-congruent elliptic curves [PDF]
, 2015 We compute equations for the families of elliptic curves 9-congruent to a given elliptic curve. We use these to find infinitely many non-trivial pairs of 9-congruent elliptic curves over Q, i.e.
Fisher, Tom
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Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
Boundary Value Problems, 2006 We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Sungwon Cho, Mikhail Safonov
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