Results 21 to 30 of about 233,511 (375)
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra [PDF]
Foundations of Computational Mathematics, 2021 Given input–output pairs of an elliptic partial differential equation (PDE) in three dimensions, we derive the first theoretically rigorous scheme for learning the associated Green’s function G .
N. Boull'e, Alex Townsend
semanticscholar +1 more source
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres
Journal of Mathematical Fluid Mechanics, 2021 We study the ocean flow in Arctic gyres using a recent model for gyres derived in spherical coordinates on the rotating sphere. By projecting this model onto the plane using the Mercator projection, we obtain a semi-linear elliptic partial differential ...
Susanna V. Haziot
semanticscholar +1 more source
A Solution Method for Differential Equations Based on Taylor PINN
IEEE Access, 2023 Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential equations are proposed by implementing deep feedforward ...
Yajuan Zhang +3 more
doaj +1 more source
On elliptic partial differential equations in bioimpedance [PDF]
Journal of Elliptic and Parabolic Equations, 2020 AbstractThis paper deals with mathematical models in electrical bioimpedance fields that are described by means of elliptic partial differential equations (PDEs). To find solutions that have practical significance and value, it is necessary to gain a deep understanding of the underlying physical phenomena with the parameter details of PDE models as ...
Jin Keun Seo +2 more
openaire +2 more sources
The solution of Poisson partial differential equations via Double Laplace Transform Method
Partial Differential Equations in Applied Mathematics, 2021 The Poisson’s Partial Differential Equation (PPDEs) is known as the generalization of a famous Laplace’s Equation. The aforementioned differential equation is an elliptic in nature and frequently used in theoretical physics.
Amjad Ali, Abdullah, Anees Ahmad
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2020 In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equation for exact solutions.
Supaporn Kaewta +2 more
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Transonic Shocks In Multidimensional Divergent Nozzles [PDF]
, 2010 We establish existence, uniqueness and stability of transonic shocks for steady compressible non-isentropic potential flow system in a multidimensional divergent nozzle with an arbitrary smooth cross-section, for a prescribed exit pressure.
A.G. Kuz’min +24 more
core +1 more source
An optimal adaptive Fictitious Domain Method [PDF]
, 2018 We consider a Fictitious Domain formulation of an elliptic partial differential equation and approximate the resulting saddle-point system using an inexact preconditioned Uzawa iterative algorithm.
Berrone, Stefano +3 more
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The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]
, 2003 Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source ...
Torre, C. G.
core +4 more sources
Study of an elliptic partial differential equation modelling the Antarctic Circumpolar Current
Discrete and Continuous Dynamical Systems. Series A, 2019 We consider the ocean flow of the Antarctic Circumpolar Current. Using a recently-derived model for gyres in rotating spherical coordinates, and mapping the problem on the sphere onto the plane using the Mercator projection, we obtain a boundary-value ...
Susanna V. Haziot
semanticscholar +1 more source