Fast and Stable Time-Domain Simulation Based on Modified Numerical Inversion of the Laplace Transform
Ye Tao, Emad Gad, M. Nakhla
Abstract
This article presents a new algorithm for time-domain circuit simulation based on numerical inversion of Laplace transform (NILT). The proposed method, labeled NILT n, shows that for the same computational cost of the conventional NILT, referred to as NILT0, the approximation error is reduced by a significant factor, permitting time-marching with much larger time steps and, consequently, saving significant computational cost per time step. Numerical experiments are presented to demonstrate the efficiency and accuracy of the proposed approach.
Topics & Concepts
Laplace transformInversion (geology)Time domainLaplace transform applied to differential equationsPost's inversion formulaComputer scienceAlgorithmLaplace–Stieltjes transformMellin transformInverse Laplace transformTwo-sided Laplace transformComputer simulationMathematical optimizationApplied mathematicsSimulationMathematicsMathematical analysisGeologyFourier transformGreen's function for the three-variable Laplace equationFractional Fourier transformComputer visionPaleontologyStructural basinFourier analysisElectromagnetic Compatibility and Noise SuppressionElectromagnetic Simulation and Numerical MethodsElectrostatic Discharge in Electronics