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Fast Algorithms for Boundary Integral Equations
Boundary integral equations Laplace equation Helmholtz equation fast algorithms fast multipole method hierarchical matrices wavelets multiscale methods multidirectional methods
2015/7/15
This article reviews several fast algorithms for boundary integral equations. After a brief introduction of the boundary integral equations for the Laplace and Helmholtz equations, we discuss in order...
The Existence of Triple Positive Solutions of Nonlinear Four-point Boundary Value Problem with p-Laplacian
p-Laplacian Avery-Peterson fixed-point theorem positive solution boundary value problem
2010/2/25
This paper deals with the multiplicity results of positive solutions of one-dimensional singular p-Laplace equation (jp(u'(t)))'+a(t)f(t,u(t),u'(t))=0, 0onlinear boundary conditio...
On Positive Solutions of Boundary Value Problems for Nonlinear Second Order Difference Equations
Difference equations boundary value problems positive solutions Green's function fixed point theorem in cones
2010/2/26
In this paper we study nonlinear second order difference equations subject to separated linear boundary conditions. Sign properties of the associated Green's functions are investigated and existence r...