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Some Nonlinear Elliptic Partial Differential Equations and Difference Equations
Journal of the Society for Industrial and Applied Mathematics, 1964Abstract : 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, 1982The 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, 1964technique. 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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Elliptic Partial Differential Equations of Second Order
, 1997P. Bassanini, A. Elcrat
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Partial differential equations of elliptic type
1994Il volume raccoglie le conferenze tenute a Cortona nell'Ottobre del 1992 nell'ambito di un convegno promosso dall'Istituto Nazionale di Alta ...
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Nonlinear Elliptic Partial Differential Equations
2017In 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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Weyl transforms and a degenerate elliptic partial differential equation
Proceedings of the Royal Society A, 2005M. W. Wong
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Coefficient Identification in Elliptic Partial Differential Equation
Large-Scale Scientific Computing, 2005T. Marinov, R. Marinova, C. Christov
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Parameter identification for an elliptic partial differential equation with distributed noisy data
, 1999R. Luce, S. Perez
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