We describe an algorithm for the numerical solution of a phase-field model (PFM) of microstructure evolution in polycrystalline materials. The PFM system of equations includes a local order parameter, a quaternion representation of local orientation and a species composition parameter. The algorithm is based on the implicit integration of a semidiscretization of the PFM system using a backward ...

The paper presents a new result for the existence and uniqueness of solutions of the system of nonlinear algebraic equations obtained from the application of the BDF methods to stii initial value problems in ordinary diierential equations. Expressed in terms of the local truncation error, starting errors in the BDF and contractivity properties of the diierential equation, the result is used to ...

We present several time integration algorithms of second-order accuracy that are numerically simple and effective for nonlinear elastodynamic problems. These algorithms are based on a general four-step scheme that has a resemblance to the backward differentiation formulas. We also present an extension to the composite strategy of the Bathe method. Appropriate values for the algorithmic paramete...

We present two families of explicit and implicit BDF formulas, capable of the exact integration (with only round-off errors) of differential equations which solutions belong to the space generated by the linear combinations of exponential of matrices, products of the exponentials by polynomials and products of those matrices by ordinary polynomials. Those methods are suitable for stiff and high...

In many applications, large systems of ordinary di erential equations (ODEs) have to be solved numerically that have both sti and nonsti parts. A popular approach in such cases is to integrate the sti parts implicitly and the nonsti parts explicitly. In this paper we study a class of implicit-explicit (IMEX) linear multistep methods intended for such applications. The paper focuses on the linea...

SigViewer is an open source cross-platform biosignal viewer designed to visualize and annotate biomedical data streams. It supports a wide variety of file formats, including BDF, EDF, GDF, CNT, BrainVision, and BCI2000. Recently, support for loading multistream XDF data has been added. Besides visualizing raw data, SigViewer supports loading, displaying, creating, and editing events that can be...

In this paper, we quantify the benefits of employing relay station in large-coverage cognitive radio systems which opportunistically access the licensed spectrum of some smallcoverage primary systems scattered inside. Through analytical study, we show that even a simple decode-and-forward (SDF) relay, which can hold only one packet, offers significant pathloss gain in terms of the spatial trans...

Abstract. Asymptotic properties of solutions of general linear differential-algebraic equations (DAE’s) and those of their numerical counterparts are discussed. New results on the asymptotic stability in the sense of Lyapunov as well as on contractive index-2 DAE’s are given. The behaviour of BDF, IRK, and PIRK applied to such systems is investigated. In particular, we clarify the significance ...

A class of hybrid heterogeneous methods using time implicit backward differences and Crank-Nicolson approximating schemes in conjunction with explicit domain decomposition approximate inverse matrix techniques is introduced for computing various families of approximate inverses based on approximate LU-type factorization techniques. Explicit preconditioned conjugate gradient type schemes in conj...