Modelling and discretization of circuit problems

M Günther, U Feldmann, J ter Maten - Handbook of numerical analysis, 2005 - Elsevier
Publisher Summary This chapter discusses the modeling aspect of differential-algebraic
equations (DAEs). In computational engineering, the network modeling approach forms the …

[图书][B] Circuit simulation

FN Najm - 2010 - books.google.com
A DEFINITIVE TEXT ON DEVELOPING CIRCUIT SIMULATORS Circuit Simulation gives a
clear description of the numerical techniques and algorithms that are part of modern circuit …

Structural analysis of electric circuits and consequences for MNA

D Estévez Schwarz… - International Journal of …, 2000 - Wiley Online Library
The development of integrated circuits requires powerful numerical simulation programs.
Naturally, there is no method that treats all the different kinds of circuits successfully. The …

[图书][B] Differential-algebraic equations forum

A Ilchmann, T Reis, L Biegler, S Campbell, C Führer… - 2013 - Springer
We assume that differential-algebraic equations (DAEs) and their more abstract versions in
infinite-dimensional spaces comprise great potential for future mathematical modeling. To …

Numerical solution of stochastic differential-algebraic equations with applications to transient noise simulation of microelectronic circuits

O Schein, G Denk - Journal of Computational and Applied Mathematics, 1998 - Elsevier
The transient simulation of noise in electronic circuits leads to differential-algebraic
equations, additively disturbed by white noise. For these systems, we present a …

[PDF][PDF] Coupled systems of differential algebraic and partial differential equations in circuit and device simulation

C Tischendorf - Modeling and numerical analysis, 2003 - academia.edu
Coupled Systems of Differential Algebraic and Partial Differential Equations in Circuit and
Device Simulation Page 1 Coupled Systems of Differential Algebraic and Partial Differential …

Consistent initialization for index-2 differential algebraic equations and its application to circuit simulation

DE Schwarz - 2000 - edoc.hu-berlin.de
For solving DAEs numerically, consistent initial values have to be calculated. This thesis
deals with an approach for handling this problem for index-2 DAEs by considering projectors …

[PDF][PDF] Robust and efficient Krylov subspace methods for model order reduction

PJ Heres - 2005 - research.tue.nl
It is hard to imagine today's life without fast electronic devices. Computers, mobile phones,
navigational equipment, all these devices only exist on account of very fast chips. The speed …

Multishift variants of the QZ algorithm with aggressive early deflation

B Kågström, D Kressner - SIAM Journal on Matrix Analysis and Applications, 2007 - SIAM
New variants of the QZ algorithm for solving the generalized eigenvalue problem are
proposed. An extension of the small-bulge multishift QR algorithm is developed, which …

How Floquet theory applies to index 1 differential algebraic equations

R Lamour, R März, R Winkler - Journal of mathematical analysis and …, 1998 - Elsevier
Local stability of periodic solutions is established by means of a Floquet theory for index-1
differential algebraic equations. Linear differential algebraic equations with periodic …