D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 70 Citations 28,222 261 World Ranking 192 National Ranking 109
Computer Science D-index 62 Citations 25,193 232 World Ranking 1811 National Ranking 986

Research.com Recognitions

Awards & Achievements

2013 - SIAM/ACM Prize in Computational Science and Engineering For her pioneering research in methods for the computational solution of differential-algebraic equations, their incorporation into widely distributed software and scientific applications, and her significant accomplishments in pioneering computational science and engineering education.

2011 - ACM Fellow For contributions to computational science.

2009 - SIAM Fellow For contributions to numerical ordinary differential equations and differential-algebraic equations and computational science.

2007 - Fellow of the American Society of Mechanical Engineers

2005 - Fellow of the American Association for the Advancement of Science (AAAS)

2004 - Member of the National Academy of Engineering For advances in the numerical solution of differential/algebraic equations and their incorporation into widely distributed software.

Overview

What is she best known for?

The fields of study she is best known for:

  • Quantum mechanics
  • Statistics
  • Artificial intelligence

Linda R. Petzold mainly focuses on Differential equation, Stochastic simulation, Stochastic process, Differential algebraic equation and Applied mathematics. Her Differential equation study combines topics in areas such as Differential, Numerical analysis, Algebraic equation and Ode. Her Numerical analysis research is multidisciplinary, incorporating perspectives in Initial value problem and Nonlinear system.

Her Stochastic simulation research is multidisciplinary, incorporating elements of Stochastic modelling, Poisson distribution, Stochastic optimization, Mathematical optimization and Calculus. Her work deals with themes such as Statistical physics and Selection, which intersect with Stochastic process. Differential algebraic equation is a primary field of her research addressed under Mathematical analysis.

Her most cited work include:

  • Numerical solution of initial-value problems in differential-algebraic equations (2611 citations)
  • Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations (1594 citations)
  • Description of DASSL: a differential/algebraic system solver (790 citations)

What are the main themes of her work throughout her whole career to date?

Linda R. Petzold mostly deals with Applied mathematics, Stochastic simulation, Mathematical analysis, Differential algebraic equation and Mathematical optimization. Her Applied mathematics research includes elements of Partial differential equation, Calculus and Reduced order. Her Stochastic simulation research includes themes of Stochastic process, Software and Algorithm.

Linda R. Petzold works mostly in the field of Stochastic process, limiting it down to concerns involving Statistical physics and, occasionally, Reaction–diffusion system. Her study on Differential algebraic equation is covered under Differential equation. Linda R. Petzold combines subjects such as Numerical analysis, Algebraic equation and Ode with her study of Differential equation.

She most often published in these fields:

  • Applied mathematics (15.08%)
  • Stochastic simulation (13.85%)
  • Mathematical analysis (13.54%)

What were the highlights of her more recent work (between 2016-2021)?

  • Artificial intelligence (7.69%)
  • Machine learning (4.00%)
  • Deep learning (2.15%)

In recent papers she was focusing on the following fields of study:

Artificial intelligence, Machine learning, Deep learning, Mating projection and Biophysics are her primary areas of study. The various areas that Linda R. Petzold examines in her Artificial intelligence study include Chronic pain, Disease and Pattern recognition. Her Machine learning research incorporates themes from Multiscale modeling, Field and Systems biology.

Her Multiscale modeling research integrates issues from Complement, State, Biomedicine, System dynamics and Computational mechanics. Her biological study spans a wide range of topics, including Deep space exploration and Biofeedback, Physical therapy, Pain reduction. Her study in Biophysics is interdisciplinary in nature, drawing from both Cell, Budding yeast and Morphogenesis.

Between 2016 and 2021, her most popular works were:

  • Integrating machine learning and multiscale modeling-perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences. (86 citations)
  • Regulation of cell-type-specific transcriptomes by microRNA networks during human brain development (53 citations)
  • Ontogeny of Circadian Rhythms and Synchrony in the Suprachiasmatic Nucleus. (33 citations)

In her most recent research, the most cited papers focused on:

  • Statistics
  • Quantum mechanics
  • Artificial intelligence

Linda R. Petzold spends much of her time researching Bayesian inference, Cell biology, Machine learning, Artificial intelligence and Master equation. Her Bayesian inference study integrates concerns from other disciplines, such as Mathematical analysis and Stiefel manifold. In general Machine learning study, her work on Semi-supervised learning often relates to the realm of Function, thereby connecting several areas of interest.

She integrates several fields in her works, including Master equation, Reaction–diffusion system, Complex geometry, Discretization, Diffusion equation and Applied mathematics. Her studies in Mathematical optimization integrate themes in fields like Orthogonal matrix and Inference. The concepts of her Inference study are interwoven with issues in Algorithm and Gibbs sampling.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Numerical solution of initial-value problems in differential-algebraic equations

Kathryn Eleda Brenan;S. L. Campbell;Linda Ruth Petzold.
(1987)

5309 Citations

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

Uri M. Ascher;Linda R. Petzold.
(1998)

3066 Citations

Description of DASSL: a differential/algebraic system solver

L.R. Petzold.
10. international mathematics and computers simulation congress on systems simulation and scientific computation, Montreal, Canada, 9 Aug 1982 (1982)

1799 Citations

Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations

Linda Petzold.
Siam Journal on Scientific and Statistical Computing (1983)

1066 Citations

Efficient step size selection for the tau-leaping simulation method

Yang Cao;Daniel T. Gillespie;Linda R. Petzold.
Journal of Chemical Physics (2006)

748 Citations

Differential/Algebraic Equations are not ODE's

Linda Petzold.
Siam Journal on Scientific and Statistical Computing (1982)

735 Citations

ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS

C. W. Gear;L. R. Petzold.
SIAM Journal on Numerical Analysis (1984)

706 Citations

The Slow-Scale Stochastic Simulation Algorithm

Yang Cao;Daniel T. Gillespie;Linda R. Petzold.
Journal of Chemical Physics (2005)

605 Citations

Using Krylov methods in the solution of large-scale differential-algebraic systems

Peter N. Brown;Alan C. Hindmarsh;Linda R. Petzold.
SIAM Journal on Scientific Computing (1994)

598 Citations

Stiffness in stochastic chemically reacting systems: The implicit tau-leaping method

Muruhan Rathinam;Linda R. Petzold;Yang Cao;Daniel T. Gillespie.
Journal of Chemical Physics (2003)

547 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Linda R. Petzold

Stephen L. Campbell

Stephen L. Campbell

North Carolina State University

Publications: 91

Volker Mehrmann

Volker Mehrmann

Technical University of Berlin

Publications: 51

Paul I. Barton

Paul I. Barton

MIT

Publications: 43

Giancarlo Mauri

Giancarlo Mauri

University of Milano-Bicocca

Publications: 43

Lorenz T. Biegler

Lorenz T. Biegler

Carnegie Mellon University

Publications: 39

Mustafa Khammash

Mustafa Khammash

ETH Zurich

Publications: 39

Francis J. Doyle

Francis J. Doyle

Harvard University

Publications: 36

Kevin Burrage

Kevin Burrage

University of Oxford

Publications: 32

Wolfgang Marquardt

Wolfgang Marquardt

RWTH Aachen University

Publications: 31

Richard D. Braatz

Richard D. Braatz

MIT

Publications: 31

Dionisios G. Vlachos

Dionisios G. Vlachos

University of Delaware

Publications: 29

Victor H. Barocas

Victor H. Barocas

University of Minnesota

Publications: 29

Carl Tim Kelley

Carl Tim Kelley

North Carolina State University

Publications: 28

Uri M. Ascher

Uri M. Ascher

University of British Columbia

Publications: 25

Cass T. Miller

Cass T. Miller

University of North Carolina at Chapel Hill

Publications: 23

Guy Marin

Guy Marin

Ghent University

Publications: 23

Trending Scientists

Franz Hlawatsch

Franz Hlawatsch

TU Wien

Pedro M. A. Areias

Pedro M. A. Areias

Instituto Superior Técnico

Chien Ho

Chien Ho

Carnegie Mellon University

Andrew B. Bocarsly

Andrew B. Bocarsly

Princeton University

Wei Li

Wei Li

Chinese Academy of Sciences

Jon Beckwith

Jon Beckwith

Harvard University

Norma J. Nowak

Norma J. Nowak

University at Buffalo, State University of New York

S. M. Rutter

S. M. Rutter

Harper Adams University

Patrick Van Dijck

Patrick Van Dijck

KU Leuven

Bela G. Fejer

Bela G. Fejer

Utah State University

Eleanor J. Highwood

Eleanor J. Highwood

University of Reading

David F. Grigal

David F. Grigal

University of Minnesota

Pascal Boyer

Pascal Boyer

Washington University in St. Louis

Barbara A. Given

Barbara A. Given

Michigan State University

Frank J. Schwab

Frank J. Schwab

Hospital for Special Surgery

Something went wrong. Please try again later.