Higher order sweeping out
نویسندگان
چکیده
منابع مشابه
Higher order Moreau's sweeping process: mathematical formulation and numerical simulation
In this paper we present an extension of Moreau’s sweeping process for higher order systems. The dynamical framework is carefully introduced, qualitative, dissipativity, stability, existence, regularity and uniqueness results are given. The time-discretization of these nonsmooth systems with a timestepping algorithm is also presented. This differential inclusion can be seen as a mathematical fo...
متن کاملHigher Order Statistics in Play-out Analysis
Playing out the game from the current state to the end many times randomly, provides statistics that can be used for selecting the best move. This play-out analysis has proved to work well in games such as Backgammon, Bridge, and Go. This paper introduces a method that selects relevant patterns of moves to collect higher order statistics. This can be used to improve the quality of the play outs...
متن کاملSweeping out on a Set of Integers
Let (X, ®, m) be a Lebesgue space, m(X) = 1, and let T be an invertible measurable nonsingular aperiodic transformation of X onto X. If S is a set of r integers, r > 2, then there exists a set A of measure less than /•"' S*_! k~l such that X = U,es T"A. Thus for every infinite set of integers W there exist sets A of arbitrarily small measure such that X = U nniv T"A.
متن کاملRuling out Higher-Order Interference from Purity Principles
As first noted by Rafael Sorkin, there is a limit to quantum interference. The interference pattern formed in a multi-slit experiment is a function of the interference patterns formed between pairs of slits; there are no genuinely new features resulting from considering three slits instead of two. Sorkin has introduced a hierarchy of mathematically conceivable higher-order interference behaviou...
متن کاملA Stopping Criterion for Higher-order Sweeping Schemes for Static Hamilton-jacobi Equations
We propose an effective stopping criterion for higher-order fast sweeping schemes for static Hamilton-Jacobi equations based on ratios of three consecutive iterations. To design the new stopping criterion we analyze the convergence of the first-order Lax-Friedrichs sweeping scheme by using the theory of nonlinear iteration. In addition, we propose a fifth-order Weighted PowerENO sweeping scheme...
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: Illinois Journal of Mathematics
سال: 1985
ISSN: 0019-2082
DOI: 10.1215/ijm/1256045631