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» An iterative method for functional differential equations
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MP
2010
157views more  MP 2010»
14 years 8 months ago
Newton's method for generalized equations: a sequential implicit function theorem
In the extension of Newton’s method to generalized equations, applying to variational inequalities as a special case, convergence analysis relates to a corresponding implicit fun...
Asen L. Dontchev, R. Tyrrell Rockafellar
JCAM
2010
94views more  JCAM 2010»
14 years 4 months ago
Cascadic multilevel methods for ill-posed problems
Multilevel methods are popular for the solution of well-posed problems, such as certain boundary value problems for partial differential equations and Fredholm integral equations ...
Lothar Reichel, Andriy Shyshkov
IOR
2008
113views more  IOR 2008»
14 years 8 months ago
Finding Supply Function Equilibria with Asymmetric Firms
Abstract Firms compete in supply functions when they offer a schedule of prices and quantities into a market; for example, this occurs in many wholesale electricity markets. We stu...
Edward J. Anderson, Xinmin Hu
SIAMREV
2010
119views more  SIAMREV 2010»
14 years 4 months ago
From Functional Analysis to Iterative Methods
We examine condition numbers, preconditioners, and iterative methods for finite element discretizations of coercive PDEs in the context of the fundamental solvability result, the L...
Robert C. Kirby
NA
2010
124views more  NA 2010»
14 years 4 months ago
An efficient unified approach for the numerical solution of delay differential equations
In this paper we propose a new framework for designing a delay differential equation (DDE) solver which works with any supplied initial value problem (IVP) solver that is based on...
Hossein ZivariPiran, Wayne H. Enright