Results 321 to 330 of about 233,511 (375)

Determination of a coefficient in an elliptic partial differential equation

Journal of Inverse and Ill-Posed Problems, 1995
Summary: The existence and uniqueness theorems for the problem of finding one of the coefficients \(a(x)\), \(c(x)\), \(q(x)\) and the unknown function \(u(x,y)\) in the equations \[ \bigl( a(x) u_ x (x,y) \bigr)_ x + \bigl( b(x) u_ y(x,y) \bigr)_ y - c(x) u(x,y) = q(x) f(x,y),\;0 < x < X,\;0 < y < Y, \] \[ u(0,y) = \varphi (y),\;0 < y \leq Y,\;u_ x (0,
openaire   +2 more sources

Nonlinear Elliptic Partial Differential Equations

2017
In Chap. 5, we explained how to apply the finite element method to nonlinear ordinary differential equations. We saw that calculating the finite element solution of nonlinear differential equations required us to solve a nonlinear system of algebraic equations and discussed how these algebraic equations could be solved.
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Elliptic Partial Differential Equations of Second Order

, 1997
P. Bassanini, A. Elcrat
semanticscholar   +1 more source

Viscosity solutions of elliptic partial differential equations

1998
Summary: In my talk and its associated paper I discuss some recent results connected with the uniqueness of viscosity solutions of nonlinear elliptic and parabolic partial differential equations. By now, most researchers in partial differential equations are familiar with the definition of viscosity solution, introduced by \textit{M. G.
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Weyl transforms and a degenerate elliptic partial differential equation

Proceedings of the Royal Society A, 2005
M. W. Wong
semanticscholar   +1 more source

Coefficient Identification in Elliptic Partial Differential Equation

Large-Scale Scientific Computing, 2005
T. Marinov, R. Marinova, C. Christov
semanticscholar   +1 more source

Parameter identification for an elliptic partial differential equation with distributed noisy data

, 1999
R. Luce, S. Perez
semanticscholar   +1 more source

Direct phase estimation from phase differences using fast elliptic partial differential equation solvers.

Optics Letters, 1989
D. Ghiglia, Louis A. Romero
semanticscholar   +1 more source

Some Nonlinear Elliptic Partial Differential Equations and Difference Equations

Journal of the Society for Industrial and Applied Mathematics, 1964
Abstract : The Dirichlet problem for the non-linear elliptic partial differential equation a(x,y,u(x,y))u, sub xx + c(x,y,u(x,y))u, sub yy - gamma(x, y,u(x,y))u = O is studied. It is assumed that the coefficients are strictly positive and Lipschitz in the argument u(x,y). It is then proved that the solution may be uniformly approximated by the solution
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Numerical solution of elliptic partial differential equation using radial basis function neural networks

Neural Networks, 2003
Jianyu Li, Siwei Luo, Yingjian Qi, Yaping Huang   +3 more
semanticscholar   +1 more source