Article history: Received 11 August 2013 Received in revised form 29 December 2014 Accepted 12 January 2015 Available online 16 January 2015

We present an explicit method to produce upper bounds for the dimension of the moduli spaces of complete integral Gorenstein curves with prescribed symmetric Weierstrass semigroups.

Finite mixture multivariate generalized linear modeling has been shown to be an important analytic tool for many research fields, for example, image recognition, astronomical data classification, biomedicine diagnosis, and biological classification. Recent statistical and computational advances have further encouraged researchers to explore the modeling possibility using the Bayesian framework....

This paper addresses the challenge of optimizing objective functions in engineering problems influenced by multiple environmental factors, such as temperature and humidity. Traditional modeling approaches often struggle to capture complexities non-ideal situations. In this research, we propose a novel approach called Environment Parameter Fixed Algorithm (EPFA) for function deep neural network ...

We extend the framework of the finite volume method to dispersive unidirectional water wave propagation in one space dimension. In particular we consider a KdV-BBM type equation. Explicit and IMEX Runge-Kutta type methods are used for time discretizations. The fully discrete schemes are validated by direct comparisons to analytic solutions. Invariants conservation properties are also studied. M...

four explicit finite difference schemes, including lax-friedrichs, nessyahu-tadmor, lax-wendroff and lax-wendroff with a nonlinear filter are applied to solve water hammer equations. the schemes solve the equations in a reservoir-pipe-valve with an instantaneous and gradual closure of the valve boundary. the computational results are compared with those of the method of characteristics (moc), a...

This paper deals with the localization of all the real roots of sine-polynomials. D. Richardson (1991, in ``effective Methods in Algebraic Geometry,'' pp. 427 440, Birkha user, Basel) has already studied this type of analytic function. He showed how to find the number of real roots in a bounded interval. Here we propose an algorithm which determines whether a sine-polynomial has a finite number...

we focus on the use of two stable and accurate explicit finite difference schemes in order to approximate the solution of stochastic partial differential equations of it¨o type, in particular, parabolic equations. the main properties of these deterministic difference methods, i.e., convergence, consistency, and stability, are separately developed for the stochastic cases.

The fractional step method is a technique that results in a computationally-efficient implementation of Navier–Stokes solvers. In the finite element-based models, it is often applied in conjunction with implicit time integration schemes. On the other hand, in the framework of finite difference and finite volume methods, the fractional step method had been successfully applied to obtain predicto...