This article deals with finitedifference schemes of two-dimensional heat transfer equations with moving boundary. The method is suggested by solving sample problem in two-dimensional solidification of square prism. The finite-difference scheme improved for this goal is based on the Douglas equation. The results are devised for a two-dimensional model and crosschecked with results of the earlier...

This paper discuss practical issues and implementation details on improving e ciency of ray intersection calculations of implicit surfaces using interval analysis. We examine two methods of improving the basic method described in [8]: a new technique for calculating intervals along a ray; and a method for spatial pruning based on the work in [7]. Comparisons are drawn between the di erent techn...

The Bayesian estimation of the conditional Gaussian parameter needs to define several a priori parameters. The proposed approach is free from this definition of priors. We use the Implicit estimation method for learning from observations without a prior knowledge. We illustrate the interest of such an estimation method by giving first the Bayesian Expectation A Posteriori estimator for conditio...

We develop a theory of local errors for the explicit and implicit tau-leaping methods for simulating stochastic chemical systems, and we prove that these methods are first-order consistent. Our theory provides local error formulae that could serve as the basis for future stepsize control techniques. We prove that, for the special case of systems with linear propensity functions, both tau-leapin...

This work generalizes the additively partitioned Runge-Kutta methods by allowing for different stage values as arguments of different components of the right hand side. An order conditions theory is developed for the new family of generalized additive methods, and stability and monotonicity investigations are carried out. The paper discusses the construction and properties of implicit-explicit ...

In this paper, a symmetry particle method, the smoothed particle hydrodynamics (SPHs) method, is extended to deal with non-Newtonian fluids. First, the viscous liquid is modeled by a non-Newtonian fluid flow and the variable viscosity under shear stress is determined by the Carreau-Yasuda model. Then a pressure correction method is proposed, by correcting density error with individual stiffness...

Implicit learning, essentially the process of acquiring unconscious (implicit) knowledge, is a fundamental feature of human cognition (Cleeremans, Destrebecqz, & Boyer, 1998; Dienes, 2012; Perruchet, 2008; Shanks, 2005; Reber, 1993). Many complex behaviors, including language comprehension and production (Berry & Dienes, 1993; Winter & Reber, 1994), music cognition (Rohrmeier & Rebuschat, 2012)...

In this paper the derivation of the second differentiation of a general yield surface implicit time stepping method along with its consistent elastic-plastic modulus is studied. Moreover, the explicit, trapezoidal implicit and fully implicit time stepping schemes are compared in rate-dependant plasticity. It is shown that implementing fully implicit time stepping scheme in rate-dependant plasti...

Are explicit versus implicit learning mechanisms reflected in the brain as distinct neural structures, as previous research indicates, or are they distinguished by brain networks that involve overlapping systems with differential connectivity? In this functional MRI study we examined the neural correlates of explicit and implicit learning of artificial grammar sequences. Using effective connect...