منابع مشابه
A DUALITY APPROXIMATION OF SOME NONLINEAR PDE’s∗
We discuss a discretization approach for the p Laplacian equation and a variational inequality associated to fourth order elliptic operators, via a meshless approach based on duality theory. MSC: 35J20, 35J25, 65N99. keywords: nonlinear elliptic equations, Fenchel theorem, approximation, meshless method.
متن کاملDuality in nonlinear programming
In this paper are defined new firstand second-order duals of the nonlinear programming problem with inequality constraints. We introduce a notion of a WD-invex problem. We prove weak, strong, converse, strict converse duality, and other theorems under the hypothesis that the problem is WD-invex. We obtain that a problem with inequality constraints is WD-invex if and only if weak duality holds b...
متن کاملSelf - Duality in Nonlinear Electromagnetism
We discuss duality invariant interactions between electromagnetic fields and matter. The case of scalar fields is treated in some detail. ∗Contribution to the memorial volume for D.V. Volkov. †This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC...
متن کاملNonlinear approximation
This is a survey of nonlinear approximation, especially that part of the subject which is important in numerical computation. Nonlinear approximation means that the approximants do not come from linear spaces but rather from nonlinear manifolds. The central question to be studied is what, if any, are the advantages of nonlinear approximation over the simpler, more established, linear methods. T...
متن کاملDuality and nonlinear graph Laplacians
We present an iterative algorithm for solving a class of nonlinear Laplacian system of equations in Õ(km log(kn/ǫ)) iterations, where k is a measure of nonlinearity, n is the number of variables, m is the number of nonzero entries in the graph Laplacian L, ǫ is the solution accuracy and Õ() neglects (non-leading) logarithmic terms. This algorithm is a natural nonlinear extension of the one by o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1969
ISSN: 0021-9045
DOI: 10.1016/0021-9045(69)90037-9