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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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The Cell Discretization Algorithm for Elliptic Partial Differential Equations

SIAM Journal on Scientific and Statistical Computing, 1982
The cell discretization algorithm has been developed for the solution of partial differential equations. Its application to boundary value problems involving self-adjoins elliptic equations is described, including the treatment of eigenvalue problems. Some discussion of its relationship to the finite element method is also included.
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A New Technique for Solving Elliptic Partial Differential Equations

Journal of the Society for Industrial and Applied Mathematics, 1964
technique. If a square net (h X h) is constructed over R + F, the coefficients of a pair of triangular matrices can be so chosen that the product of the matrices, operating on the values of U at the nodes of the net, approximates to the differential equation (or boundary condition) with truncation error of order 0(h) at every node.
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Partial differential equations of elliptic type

1994
Il volume raccoglie le conferenze tenute a Cortona nell'Ottobre del 1992 nell'ambito di un convegno promosso dall'Istituto Nazionale di Alta ...
ALVINO, ANGELO   +2 more
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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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Coefficient Identification in Elliptic Partial Differential Equation

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

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