Exploring the exponential integrators with Krylov subspace algorithms for nonlinear circuit simulation

2017 ◽  
Author(s):  
Xinyuan Wang ◽  
Hao Zhuang ◽  
Chung-Kuan Cheng
Keyword(s):  
Krylov Subspace ◽  
Circuit Simulation ◽  
Nonlinear Circuit ◽  
Exponential Integrators ◽  
Subspace Algorithms

Nonlinear Circuit Simulation and Modeling

2018 ◽  
Author(s):  
José Carlos Pedro ◽  
David E. Root ◽  
Jianjun Xu ◽  
Luís Cótimos Nunes
Keyword(s):  
Circuit Simulation ◽  
Simulation And Modeling ◽  
Nonlinear Circuit

scholarly journals Model reduction methods based on Krylov subspaces

Acta Numerica ◽  
2003 ◽  
Vol 12 ◽  
pp. 267-319 ◽  
Author(s):  
Roland W. Freund
Keyword(s):  
Large Scale ◽  
Krylov Subspace ◽  
Circuit Simulation ◽  
Krylov Subspaces ◽  
Lanczos Algorithm ◽  
Linear Dynamical Systems ◽  
Reduced Order ◽  
Reduced Order Modelling ◽  
Reduction Methods ◽  
Modelling Techniques

In recent years, reduced-order modelling techniques based on Krylov-subspace iterations, especially the Lanczos algorithm and the Arnoldi process, have become popular tools for tackling the large-scale time-invariant linear dynamical systems that arise in the simulation of electronic circuits. This paper reviews the main ideas of reduced-order modelling techniques based on Krylov subspaces and describes some applications of reduced-order modelling in circuit simulation.

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