We consider new high-order Alternating Direction Implicit (ADI) schemes for the numerical solution of initial-boundary value problems for convection-diffusion equations with cross derivative terms. Our approach is based on the unconditionally stable ADI scheme proposed by Hundsdorfer [12]. Different numerical discretizations which lead to schemes which are fourth-order accurate in space and sec...

In this paper we propose a novel fast method for implicit surface reconstruction from unorganized point clouds. Our algorithm employs a multigrid solver on a narrow band of the level set function that represents the reconstructed surface, which greatly improves computational efficiency of surface reconstruction. The new model can accurately reconstruct surfaces from noisy unorganized point clou...

sex in evolution Adi Livnat∗† ‡, Christos Papadimitriou ‡ , Jonathan Dushoff § and Marcus W. Feldman ¶ †Miller Institute for Basic Research in Science, University of California, Berkeley, CA 94720 USA,‡Department of Electrical Engineering and Computer Science, University of California, Berkeley, CA 94720 USA,§Department of Biology, McMaster University, Hamilton, ON L8S 4K1 CANADA, and ¶Departme...

It is known that matrix-free numerical implementations for solving stii ordinary diierential equations (ODEs) can be considerably more eeective than implementations which rely on direct linear algebra techniques to solve the implicit equations governing the stage values. In this paper it will be shown how fully implicit, high order Runge-Kutta methods can be eeciently implemented in a matrix-fr...

This paper considers structural optimization problems featuring discrete variables, as well as nonlinear implicit constraints which can only be evaluated through time-expensive computations. A prominent application consists in the preliminary structural design of large ships, where many of the variables take their values in discrete sets which model standard element dimensions to be selected fr...

Physics-based animation of soft or rigid bodies for real-time applications often suffers from numerical instabilities. We analyse one of the most common sources of unwanted behaviour: the numerical integration strategy. To assess the impact of popular integration methods, we consider a scenario where soft and hard constraints are added to a custom designed deformable linear object. Since the go...

Three studies examined the moderating role of motivations to respond without prejudice (e.g., internal and external) in expressions of explicit and implicit race bias. In all studies, participants reported their explicit attitudes toward Blacks. Implicit measures consisted of a sequential priming task (Study 1) and the Implicit Association Test (Studies 2 and 3). Study 3 used a cognitive busyne...

Trying to learn sometimes impairs implicit learning of artificial grammars and of control systems. We asked whether such negative effects of trying also occur in implicit learning of subtle sequential regularities and whether such effects vary with adult age. Young (n = 12, age = 20-23) and older (n = 24, age = 60-80) adults completed an alternating serial response time task in which predictabl...

The purpose of this paper is to define the product related neutrosophic topological space and proved some theorems based on this. We introduce the concept of neutrosophic semiopen sets and neutrosophic semi-closed sets in neutrosophic topological spaces and derive some of their characterization. Finally, we analyze neutrosophic semi-interior and neutrosophic semi-closure operators also. Mathema...