Development of data‐driven exponential integrators with application to modeling of delay photocurrents

Bochev, Pavel; Paskaleva, Biliana

doi:10.1002/num.22857

Development of data‐driven exponential integrators with application to modeling of delay photocurrents

Journal Article · Fri Dec 17 23:00:00 EST 2021 · Numerical Methods for Partial Differential Equations

DOI:https://doi.org/10.1002/num.22857· OSTI ID:1996285

^[1]; Paskaleva, Biliana ^[2]

Center for Computing Research Org. 1400, Sandia National Laboratories Albuquerque New Mexico USA
Component and System Analysis Org. 1356, Sandia National Laboratories Albuquerque New Mexico USA

Abstract

Radiation‐induced photocurrent effects represent a threat to microelectronic components operating in space, manmade and terrestrial radiation environments. Analysis of these threats by circuit simulations requires accurate and computationally efficient compact models. Most existing compact models are based on closed form analytic solutions of the governing equations and require empirical assumptions and idealizations that can limit their validity. In this paper we formulate an alternative numerical, data‐driven approach that learns a compact model from data representative of the type of measurements one can obtain in an experimental facility. To develop the model we start from a generic discrete‐time dynamical system and then use physics knowledge to refine its structure. Numerical studies demonstrate the potential of the model and establish some empirical guidelines for its training.

View Accepted Manuscript (Publisher)

Sponsoring Organization:: USDOE

Grant/Contract Number:: NONE; NA0003525

OSTI ID:: 1996285

Journal Information:: Numerical Methods for Partial Differential Equations, Journal Name: Numerical Methods for Partial Differential Equations Journal Issue: 6 Vol. 38; ISSN 0749-159X

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: United States

Language:: English

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