Keywords: Backward Difference Formula; Circuit simulation; Differential-algebraic equations; Discretization error; Multirate; Numerical time integration; Partitioning; Transient analysis Abstract: Transient analysis is an important circuit simulation technique. The circuit model, which is a system of differential-algebraic equations, is solved for a given initial condition using numerical time integration techniques. Multirate methods are efficient if the dynamical […]

Pierluigi Amodio , Giuseppina Settanni Dipartimento di Matematica, Universita di Bari, I-70125 Bari, Italy Received 22 February, 2011; accepted in revised form 13 March, 2011 Abstract: We investigate the numerical solution of regular and singular Sturm-Liouville problems by means of finite difference schemes of high order. In particular, a set of differ- ence schemes is

Date of Online Publication: 14/04/2007 Keywords: Cell nuclei, Computational stochastic methods, Gibbs point processes, Lattice processes, Dislocations of crystals, Pseudolikelihood, Spatial arrangement, Strauss process Authors: J. Mateu Pages: 79-102 Data showing spatial structure often arise in many applied scientific fields in form of points spatially distributed within a planar region. The basic methodology for analyzing

W. Auzinger Institute for Analysis and Scientific Computing, Vienna University of Technology, 1040 Vienna, Austria Received 20 February, 2011; accepted in revised form 10 March, 2011 Abstract: The well-known technique of defect correction can be used in various ways for estimating local or global errors of numerical approximations to differential or integral equations. In this

Date of Online Publication: 31/03/2008 Keywords: MOL, Method of Lines Authors: R. Knapp Pages: 43-59 Mathematica’s NDSolve command includes a general solver for partial differential equations based on the method of lines. Starting from a symbolic expression for the PDE a symbolic general representation of the spatial discretization is constructed which is finalized once the

A.V. Grigorev1, P.N. Vabishchevich2 Department of Compututational Technologies, Institute of Mathematics and Informatics, M.K. Ammosova North-Eastern Federal University, Yakutsk, Russia Received 7 December, 2020 Abstract: A two-level approach is considered for numerical modeling of the blood flow in the liver-lobule system in this work. Within the framework of this approach it is proposed to apply

Date of Online Publication: 27/10/2007 Keywords: Singular perturbation problem; asymptotic analysis; finite difference methods Authors: Kailash C. Patidar and Albert Shikongo Pages: 193-207 This paper deals with the design and implementation of some appropriate numerical methods for a model singularly perturbed differential equation. To adapt the local abrupt changes of the solution, we consider a

Date of Online Publication: 27/10/2007 Keywords: Collision, Contact-Force Model, Granular Material, Viscoelastic Particle Authors: M.H. Bordbar, T. Hypp�nen Pages: 115-128 An accurate new contact force model is proposed for describing the grain collision process. The linear and nonlinear contact force models and normal coefficient of restitution in different impact velocities has been studied. A new