A weak trapezoidal method for a class of stochastic differential equations

We present a numerical method for the approximation of solutions for the class of stochastic differential equations driven by Brownian motions which induce stochastic variation in fixed directions. This class of equations arises naturally in the study of population processes and chemical reaction kinetics. We show that the method constructs paths that are second order accurate in the weak sense. The method is simpler than many second order methods in that it neither requires the construction of iterated It̂o integrals nor the evaluation of any derivatives. The method consists of two steps. In the first an explicit Euler step is used to take a fractional step. The resulting fractional point is then combined with the initial point to obtain a higher order, trapezoidal like, approximation. The higher order of accuracy stems from the fact that both the drift and the quadratic variation of the underlying SDE are approximated to second order. © 2011 International Press

Stereoselective Synthesis of Densely Substituted Tetrahydroquinolines by a Conjugate Addition Nitro-Mannich Reaction with Carbon Nucleophiles

Conjugate addition of an alkyl group to a series of 2-imino-nitrostyrenes and then addition of trifluoroacetic acid initiates a nitro-Mannich cyclisation to give cis,cis-2,3,4-substituted tetrahydroquinolines in good yield and high diastereoselectivity

Asymmetric Intramolecular Conjugate Addition Nitro-Mannich Route to cis-2-Aryl-3-nitrotetrahydroquinolines

Reductive cyclization of 2-iminonitrostyrenes (from the condensation of 2-aminostyrenes with an aldehyde and subsequent nitration of the alkene) using a bifunctional thiourea catalyst and tert-butyl-Hantzsch ester leads to an intramolecular conjugate hydride addition nitro-Mannich reaction to give the corresponding cis-2-aryl-3-nitrotetrahydroquinolines as single diastereoisomers in high yields and enantioselectivities

Epidemiological surveys of, and research on, soil-transmitted helminths in Southeast Asia: a systematic review

PRISMA checklist, full list of search terms and Supporting Figure 1. (DOCX 1462 kb

Mechanical Systems with Symmetry, Variational Principles, and Integration Algorithms

This paper studies variational principles for mechanical systems with symmetry and their applications to integration algorithms. We recall some general features of how to reduce variational principles in the presence of a symmetry group along with general features of integration algorithms for mechanical systems. Then we describe some integration algorithms based directly on variational principles using a discretization technique of Veselov. The general idea for these variational integrators is to directly discretize Hamilton’s principle rather than the equations of motion in a way that preserves the original systems invariants, notably the symplectic form and, via a discrete version of Noether’s theorem, the momentum map. The resulting mechanical integrators are second-order accurate, implicit, symplectic-momentum algorithms. We apply these integrators to the rigid body and the double spherical pendulum to show that the techniques are competitive with existing integrators

Propagation of fluctuations in biochemical systems, I: Linear SSC networks

We investigate the propagation of random fluctuations through biochemical networks in which the number of molecules of each species is large enough so that the concentrations are well modeled by differential equations. We study the effect of network topology on the emergent properties of the reaction system by characterizing the behavior of variance as fluctuations propagate down chains and studying the effect of side chains and feedback loops. We also investigate the asymptotic behavior of the system as one reaction becomes fast relative to the others. © 2007 Springer Science+Business Media, Inc

Efficient HTTP based I/O on very large datasets for high performance computing with the libdavix library

Remote data access for data analysis in high performance computing is commonly done with specialized data access protocols and storage systems. These protocols are highly optimized for high throughput on very large datasets, multi-streams, high availability, low latency and efficient parallel I/O. The purpose of this paper is to describe how we have adapted a generic protocol, the Hyper Text Transport Protocol (HTTP) to make it a competitive alternative for high performance I/O and data analysis applications in a global computing grid: the Worldwide LHC Computing Grid. In this work, we first analyze the design differences between the HTTP protocol and the most common high performance I/O protocols, pointing out the main performance weaknesses of HTTP. Then, we describe in detail how we solved these issues. Our solutions have been implemented in a toolkit called davix, available through several recent Linux distributions. Finally, we describe the results of our benchmarks where we compare the performance of davix against a HPC specific protocol for a data analysis use case.Comment: Presented at: Very large Data Bases (VLDB) 2014, Hangzho

When does the algebraic Riccati equation have a negative semi-definite solution?

Find a reasonable necessary and sufficient frequency domain condition, i.e, a condition in terms of the rational matrix ∂W, or possibly in terms of the two-variable rational matrix W, for the existence of a real symmetric negative semi-definite solution of the algebraic Riccati equation

Knowledge Acquisition for Learner Modelling in Second Language Learning

The results of past studies in Error Analysis in applied linguistics and the experiences of developers of intelligent tutoring systems in learner modelling have influenced our definition of a new structure, called an "applicable rule", that can be used to help diagnose and to represent a learner's performance in second language learning systems. Based on this structure a prototype interface has been designed to acquire the knowledge that it must contain. The results of experiments with this interface, to validate and to fill it, have been instrumental in refining its structure, pointing out the difficulties of transforming it into an automated acquisition device, and in indicating its potential as a teaching device