David Matthew Bortz

Works (2)

Updated: July 5th, 2023 15:59

2019 journal article

The influence of numerical error on parameter estimation and uncertainty quantification for advective PDE models

INVERSE PROBLEMS, 35(6).

By: J. Nardini n & D. Bortz*

author keywords: inverse problems; numerical analysis; uncertainty quantification; autocorrelation
topics (OpenAlex): Probabilistic and Robust Engineering Design; Groundwater flow and contamination studies; Gaussian Processes and Bayesian Inference
TL;DR: Results concerning how a least squares cost function and parameter estimator behave in the presence of numerical error in approximating solutions to the underlying advection equation are presented and guidelines are provided to determine when numerical or experimental error is the main source of error in their inference. (via Semantic Scholar)
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Source: Web Of Science
Added: June 17, 2019

2003 journal article

Incorporation of variability into the modeling of viral delays in HIV infection dynamics

MATHEMATICAL BIOSCIENCES, 183(1), 63–91.

By: H. Banks n, D. Bortz* & S. Holte *

author keywords: HIV pathogenesis; eclipse phase; variability; non-linear delay equations
MeSH headings : Computer Simulation; HIV / physiology; HIV Infections / virology; Humans; Models, Biological; Nonlinear Dynamics; Numerical Analysis, Computer-Assisted; Probability; Virus Replication
topics (OpenAlex): Mathematical and Theoretical Epidemiology and Ecology Models; HIV Research and Treatment; HIV/AIDS Research and Interventions
TL;DR: Methods for incorporating arbitrary variability for temporal delays in HIV pathogenesis into systems that cannot readily be reduced to a finite number of coupled ordinary differential equations are developed. (via Semantic Scholar)
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3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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