2026 Stephen L. Campbell: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	43	1639	1417	704	565	261	21045

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1639

1417

704

565

261

21045

Research.com Recognitions

2010 - SIAM Fellow For contributions to analysis and algorithms for differential algebraic equations.
2008 - IEEE Fellow For contributions to deeply scaled CMOS devices
2001 - IEEE Fellow For contributions to the theory, numerical solution, and application of nonlinear descriptor systems.

Overview

Stephen L. Campbell is affiliated with North Carolina State University in the United States. Their research spans several areas within engineering, with a particular focus on control and systems engineering, aerospace engineering, computational theory and mathematics, numerical analysis, and statistical and nonlinear physics.

The main topics of Campbell's research include:

Spacecraft Dynamics and Control
Advanced Control Systems Optimization
Stability and Control of Uncertain Systems
Matrix Theory and Algorithms
Numerical methods for differential equations
Model Reduction and Neural Networks

Campbell has contributed to various publication venues, including:

Numerical Algebra Control and Optimization
Vietnam Journal of Mathematics

Recent papers published by Campbell include:

"Examination of solving optimal control problems with delays using GPOPS-Ⅱ," 2020, Numerical Algebra Control and Optimization
"Invariant Subspaces, Derivative Arrays, and the Computation of the Drazin Inverse," 2020, Vietnam Journal of Mathematics

Frequent co-authors collaborating with Campbell include:

John T. Betts
Claire Digirolamo
Peter Kunkel

Campbell's recognition includes being named a SIAM Fellow in 2010 for contributions to analysis and algorithms for differential algebraic equations. They have also been awarded IEEE Fellowship twice, first in 2001 for contributions to the theory, numerical solution, and application of nonlinear descriptor systems, and again in 2008 for contributions to deeply scaled CMOS devices.

Best Publications

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

Kathryn Eleda Brenan;S. L. Campbell;Linda Ruth Petzold

5482
Citations
Generalized inverses of linear transformations

Stephen L. Campbell;Carl D. Meyer

2943
Citations
Singular systems of differential equations II

S. L Campbell

1638
Citations
Singular Systems of Differential Equations

S. L. Campbell

1244
Citations
The index of general nonlinear DAEs

Stephen L. Campbell;C. William Gear

617
Citations
Modeling and Simulation in Scilab

Stephen L. Campbell;Jean-Philippe Chancelier;Ramine Nikoukhah

564
Citations
Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients

Stephen L. Campbell;Carl D. Meyer;Nicholas J. Rose

441
Citations
Solvability of general differential algebraic equations

Stephen L. Campbell;E. Griepentrog

235
Citations
Modeling and Simulation in Scilab/Scicos

S. L. Campbell;Jean-Philippe Chancelier;Ramine Nikoukhah

227
Citations
CANONICAL FORMS AND SOLVABLE SINGULAR SYSTEMS OF DIFFERENTIAL EQUATIONS

Stephen L. Campbell;Linda R. Petzold

214
Citations
A general form for solvable linear time varying singular systems of differential equations

Stephen L. Campbell

206
Citations
GMREs and the minimal polynomial

Stephen L. Campbell;Ilse C. F. Ipsen;Carl Tim Kelley;Carl D. Meyer

175
Citations
Duality, observability, and controllability for linear time-varying descriptor systems

Stephen L. Campbell;Nancy K. Nichols;William J. Terrell

149
Citations
Singular linear systems of differential equations with delays

Stephen L. Campbell

147
Citations
Kalman filtering for general discrete-time linear systems

R. Nikoukhah;S.L. Campbell;F. Delebecque

145
Citations
The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations

Stephen L. Campbell

118
Citations
High-Index Differential Algebraic Equations

Stephen L Campbell

116
Citations
The Index of an Infinite Dimensional Implicit System

S.L. Campbell;W. Marszalek

116
Citations
Linearization of DAEs along trajectories

Stephen L. Campbell

113
Citations
Singular Perturbation of Autonomous Linear Systems

Stephen L. Campbell;Nicholas J. Rose

112
Citations
Differential-algebraic equations

Stephen L. Campbell;Vu Hoang Linh;Linda R. Petzold

10
Citations

Frequent Co-Authors

Carl D. Meyer North Carolina State University

Linda R. Petzold University of California, Santa Barbara

Carl Tim Kelley North Carolina State University

Volker Mehrmann Technical University of Berlin

Lorenz T. Biegler Carnegie Mellon University

Ilse C. F. Ipsen North Carolina State University

Nancy Nichols University of Reading

Jack W. Silverstein North Carolina State University

Benedict Leimkuhler University of Edinburgh

External Links

Personal website of Stephen L. Campbell Google Scholar page

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