An explicit finite element method was applied to simultaneously predict both kinematics and contact mechanics of artificial hip and knee joints under normal walking condition. Mesh sensitivity and numbers of time interval were examined on the model prediction for an artificial hip joint under the condition of three-dimensional forces and rotations. Furthermore, the explicit method was used to p...

For the simulation of waves in a bounded domain, the absorbing boundary condition (ABC) must be set appropriately to suppress the wave reflection on the boundary. This article introduces a new traveltime-based ABC which can significantly reduce the boundary reflection. Also the article considers a new fourth-order implicit time-stepping scheme, which incorporates a locally one-dimensional proce...

We analyze explicit Runge–Kutta schemes in time combined with stabilized finite elements in space to approximate evolution problems with a first-order linear differential operator in space of Friedrichs-type. For the time discretization, we consider explicit secondand third-order Runge–Kutta schemes. We identify a general set of properties on the spatial stabilization, encompassing continuous a...

Abstract. Let A (ε) be an analytic square matrix and λ0 an eigenvalue of A (0) of algebraic multiplicity m ≥ 1. Then under the condition, ∂ ∂ε det (λI − A (ε)) |(ε,λ)=(0,λ0) 6= 0, we prove that the Jordan normal form of A (0) corresponding to the eigenvalue λ0 consists of a single m×m Jordan block, the perturbed eigenvalues near λ0 and their corresponding eigenvectors can be represented by a si...

We study a one-phase Stefan problem for a semi-infinite material with temperaturedependent thermal conductivity and a convective term with a constant temperature boundary condition or a heat flux boundary condition of the type −q0/ √ t (q0 > 0) at the fixed face x = 0. We obtain in both cases sufficient conditions for data in order to have a parametric representation of the solution of the simi...

Speech signals are usually affected by multiple acoustic factors, such as speaker characteristics and environment differences. Usually, the combined effect of these factors is modelled by a single transform. Acoustic factorisation splits the transform into several factor transforms, each modelling only one factor. This allows, for example, estimating a speaker transform in a noise condition and...

Abstract. Let A (ε) be an analytic square matrix and λ0 an eigenvalue of A (0) of multiplicity m ≥ 1. Then under the generic condition, ∂ ∂ε det (λI −A (ε)) |(ε,λ)=(0,λ0) 6= 0, we prove that the Jordan normal form of A (0) corresponding to the eigenvalue λ0 consists of a single m × m Jordan block, the perturbed eigenvalues near λ0 and their eigenvectors can be represented by a single convergent...

A key component of task preparation may be to anticipate the consequences of task-appropriate actions. This task switching study examined whether such type of "intentional" preparatory control relies on the presentation of explicit action effects. Preparatory BOLD activation in a condition with task-specific motion effect feedback was compared to identical task conditions with accuracy feedback...

We present a nonlinearly implicit, conservative numerical method for integration of the single-fluid resistive MHD equations. The method uses a high-order spatial discretization that preserves the solenoidal property of the magnetic field. The fully coupled PDE system is solved implicitly in time, providing for increased interaction between physical processes as well as additional stability ove...