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Journal ArticleDOI

The Waveform Relaxation Method for Time-Domain Analysis of Large Scale Integrated Circuits

TLDR
Sufficient conditions for convergence of the WR method are proposed and examples in MOS digital integrated circuits are given to show that these conditions are very mild in practice.
Abstract
The Waveform Relaxation (WR) method is an iterative method for analyzing nonlinear dynamical systems in the time domain. The method, at each iteration, decomposes the system into several dynamical subsystems each of which is analyzed for the entire given time interval. Sufficient conditions for convergence of the WR method are proposed and examples in MOS digital integrated circuits are given to show that these conditions are very mild in practice. Theoretical and computational studies show the method to be efficient and reliable.

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Citations
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Journal ArticleDOI

Attack Detection and Identification in Cyber-Physical Systems

TL;DR: In this article, a mathematical framework for cyber-physical systems, attacks, and monitors is proposed, and fundamental monitoring limitations from both system-theoretic and graph-based perspectives are characterized.
Posted Content

Attack Detection and Identification in Cyber-Physical Systems -- Part I: Models and Fundamental Limitations

TL;DR: This paper proposes a mathematical framework for cyber-physical systems, attacks, and monitors, and describes fundamental monitoring limitations from system-theoretic and graph- theoretic perspectives and designs centralized and distributed attack detection and identification monitors.
Journal ArticleDOI

Simulation of high-speed interconnects

TL;DR: In this review paper various high-speed interconnect effects are briefly discussed, recent advances in transmission line macromodeling techniques are presented, and simulation of high- speed interconnects using model-reduction-based algorithms is discussed in detail.
Journal ArticleDOI

Computer-aided analysis of electronic circuits: Algorithms and computational techniques

TL;DR: One of the books that can be recommended for new readers is computer aided analysis of electronic circuits algorithms and computational techniques, which is not kind of difficult book to read.
Book ChapterDOI

50 Years of Time Parallel Time Integration

TL;DR: This chapter is for people who want to quickly gain an overview of the exciting and rapidly developing area of research of time parallel methods.
References
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Journal ArticleDOI

Ordinary differential equations

Journal ArticleDOI

The modified nodal approach to network analysis

TL;DR: In this article, a modified nodal analysis (MNA) method is proposed, which retains the simplicity and other advantages of nodal Analysis while removing its limitations, and a simple and effective pivoting scheme is also given.
Journal ArticleDOI

Computer-aided analysis of electronic circuits: Algorithms and computational techniques

TL;DR: One of the books that can be recommended for new readers is computer aided analysis of electronic circuits algorithms and computational techniques, which is not kind of difficult book to read.
Journal ArticleDOI

The Sparse Tableau Approach to Network Analysis and Design

TL;DR: The tableau approach to automated network design optimization via implicit, variable order, variable time-step integration, and adjoint sensitivity computation is described and the bulk of computation and program complexity is located in the sparse matrix routines.
Journal ArticleDOI

Algorithms for ASTAP--A network-analysis program

TL;DR: This paper describes how variable-order implicit integration, tableau formulation, and sparse-matrix solution methods have been implemented in the ASTAP program.
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