One of the main challenges on animating embodied autonomous characters in real-time applications is the ability to generate believable behaviors, more precisely, actors capable of moving in a natural and improvisational manner. In this paper we propose an elegant and low cost solution based upon boundary value problems (BVP) to control steering behaviors of characters. We use a field potential ...

We discuss the solvability of a parameter dependent cantilever-type boundary value problem. provide an existence and localization result for positive solutions via Birkhoff–Kellogg type theorem. also obtain, under additional growth conditions, upper lower bounds involved parameters. An example is presented in order to illustrate theoretical results.

In this paper, we discuss physically based approaches to the modeling of deformable soft tissue for the long-term prediction of patient’s postoperative appearance in cranio-maxillofacial (CMF) surgery simulations. Since the biomechanical properties of living tissues and their numerical modeling are, in general, very complex, our focus is on the investigation of qualitative and quantitative diff...

We always assume that the following hypotheses hold: (A1) p ∈ C([0,1], [0,+∞]), and ∫ 1 0 dt/p(t) < +∞; (A2) g∈ L(0,1), and g(s)≥ 0, a.e. and there exists [a,b]⊂ (0,1), such that 0< ∫ b a g(s)ds; (A3) F(t,u)∈ C([0,1]× [0,+∞],[0,+∞]). The BVP(1.1) arises in many different areas of applied mathematics and physics, and only its positive solution is significant in some practice. For the special cas...

The superlinear convergence of the preconditioned CGM is studied for nonsymmetric elliptic problems (convection-diffusion equations) with mixed boundary conditions. A mesh independent rate of superlinear convergence is given when symmetric part preconditioning is applied to the FEM discretizations of the BVP. This is the extension of a similar result of the author for Dirichlet problems. The di...

Three parallel algorithms are presented for solving the Almost Block Diagonal (ABD) systems of linear algebraic equations that arise during the numerical solution of Boundary Value Problems (BVPs) for Ordinary Differential Equations (ODEs). Until recently, the solution of these systems has proven to be the execution-time bottleneck in the parallel implementation of most BVP codes. Several numer...

From Nagumo [10], there have been many accomplishments on the study of the existence of solutions for boundary value problems (BVPs) using the theory of differential inequality (cf. [1–9, 11–17]). However, for the nth-order nonlinear differential equations with the nonlinear boundary conditions, results are very few. The authors made some attempts to solve the nth-order Robin problem [14]. Now ...

where n≥  is an integer, f : (, )× (,∞)→ [,∞) is continuous, αi, βi are nonnegative constants, α i + αiβi > , i = , . . . ,n. f (t,u) may be singular at u = , t =  (and/or t = ). If a function u : [, ]→ R is continuous and satisfies u(t) = u( – t) for t ∈ [, ], then we say that u(t) is symmetric on [, ]. By a symmetric positive solution of BVP (.) we mean a symmetric functi...

Transgenic experiments can be used to test the extent to which genes from different species can be swapped around, but still retain function, and be appropriately regulated. A vector has been developed that directs the expression of foreign genes to specific groups of vasopressin (VP) hypothalamic neurons in transgenic rats. Using this vector, we have expressed the bovine VP (bVP) RNA in the ra...

BACKGROUND/AIM Patients with fecal incontinence (FI) have lower anal resting (MRP) and squeeze (MSP) pressure and an impaired sensitivity compared to healthy people. However, whether anorectal manometry (ARM) can separate precisely between health and disease is discussed controversially. The aim was to evaluate the accuracy of ARM in a huge cohort of patients and controls. METHODS ARM was obt...