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SIAMSC
2011
133views more  SIAMSC 2011»
12 years 11 months ago
On the Existence and the Applications of Modified Equations for Stochastic Differential Equations
In this paper we describe a general framework for deriving modified equations for stochastic differential equations with respect to weak convergence. Modified equations are deri...
K. C. Zygalakis
SIAMJO
2002
115views more  SIAMJO 2002»
13 years 4 months ago
Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems
We propose a new algorithm for solving smooth nonlinear equations in the case where their solutions can be singular. Compared to other techniques for computing singular solutions, ...
Alexey F. Izmailov, Mikhail V. Solodov
CADE
2009
Springer
14 years 5 months ago
Computing Knowledge in Security Protocols under Convergent Equational Theories
In the symbolic analysis of security protocols, two classical notions of knowledge, deducibility and indistinguishability, yield corresponding decision problems. We propose a proce...
Stéphanie Delaune, Stefan Ciobâca, St...
SIAMMA
2010
105views more  SIAMMA 2010»
12 years 11 months ago
On the Convergence of the Ohta-Kawasaki Equation to Motion by Nonlocal Mullins-Sekerka Law
In this paper, we establish the convergence of the Ohta-Kawasaki equation to motion by nonlocal Mullins-Sekerka law on any smooth domain in space dimensions N 3. These equations a...
Nam Q. Le
MOC
1998
144views more  MOC 1998»
13 years 4 months ago
Convergence of a random walk method for a partial differential equation
Abstract. A Cauchy problem for a one–dimensional diffusion–reaction equation is solved on a grid by a random walk method, in which the diffusion part is solved by random walk...
Weidong Lu