A.C. Hindmarsh

10.6k total citations · 5 hit papers
55 papers, 7.4k citations indexed

About

A.C. Hindmarsh is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, A.C. Hindmarsh has authored 55 papers receiving a total of 7.4k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Numerical Analysis, 21 papers in Computational Mechanics and 18 papers in Computational Theory and Mathematics. Recurrent topics in A.C. Hindmarsh's work include Numerical methods for differential equations (33 papers), Matrix Theory and Algorithms (16 papers) and Advanced Numerical Methods in Computational Mathematics (13 papers). A.C. Hindmarsh is often cited by papers focused on Numerical methods for differential equations (33 papers), Matrix Theory and Algorithms (16 papers) and Advanced Numerical Methods in Computational Mathematics (13 papers). A.C. Hindmarsh collaborates with scholars based in United States, Canada and United Kingdom. A.C. Hindmarsh's co-authors include Peter N. Brown, George D. Byrne, William E. Schiesser, Radu Serban, Carol S. Woodward, Dan Shumaker, Keith Eric Grant, Steven L. Lee, Linda Petzold and Paul F. Dubois and has published in prestigious journals such as The Journal of Chemical Physics, Journal of Computational Physics and Mathematics of Computation.

In The Last Decade

A.C. Hindmarsh

53 papers receiving 6.9k citations

Hit Papers

5 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

SUNDIALS

2005 1.9k citations A.C. Hindmarsh, Peter N. Brown et al. profile →
VODE: A Variable-Coefficient ODE Solver

1989 1.3k citations Peter N. Brown, George D. Byrne et al. profile →
The Numerical Method of Lines: Integration of Partial Differential Equations.

1993 755 citations A.C. Hindmarsh et al. profile →
LSODE and LSODI, two new initial value ordinary differential equation solvers

1980 711 citations A.C. Hindmarsh profile →
CVODE, A Stiff/Nonstiff ODE Solver in C

1996 531 citations A.C. Hindmarsh et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
A.C. Hindmarsh United States	24	2.2k	1.2k	859	805	794	55	7.4k
Peter N. Brown United States	20	1.9k 0.9×	1.2k 1.0×	1.2k 1.3×	583 0.7×	518 0.7×	37	5.6k
Peter Deuflhard Germany	40	1.6k 0.7×	1.4k 1.2×	1.3k 1.5×	199 0.2×	755 1.0×	165	6.7k
C. W. Gear United States	38	2.4k 1.1×	3.0k 2.5×	2.3k 2.7×	250 0.3×	1.3k 1.6×	100	9.7k
Thomas A. Zang United States	27	4.5k 2.1×	1.9k 1.6×	907 1.1×	303 0.4×	600 0.8×	67	8.9k
L. F. Shampine United States	45	3.1k 1.4×	3.8k 3.3×	1.8k 2.0×	208 0.3×	1.8k 2.3×	187	12.5k
Herbert B. Keller United States	45	3.6k 1.7×	2.6k 2.3×	2.0k 2.4×	251 0.3×	812 1.0×	130	9.9k
Margaret H. Wright United States	25	730 0.3×	1.1k 0.9×	1.1k 1.3×	148 0.2×	1.3k 1.7×	46	8.5k
Claudio Canuto Italy	28	5.3k 2.4×	2.8k 2.4×	1.4k 1.6×	321 0.4×	943 1.2×	113	10.8k
J. Gillis Israel	29	5.8k 2.6×	657 0.6×	883 1.0×	522 0.6×	1.6k 2.0×	71	18.0k
B. J. Matkowsky United States	40	2.2k 1.0×	377 0.3×	284 0.3×	694 0.9×	197 0.2×	202	5.6k

Countries citing papers authored by A.C. Hindmarsh

Since Specialization

Citations

This map shows the geographic impact of A.C. Hindmarsh's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by A.C. Hindmarsh with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A.C. Hindmarsh more than expected).

Fields of papers citing papers by A.C. Hindmarsh

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A.C. Hindmarsh. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by A.C. Hindmarsh. The network helps show where A.C. Hindmarsh may publish in the future.

Co-authorship network of co-authors of A.C. Hindmarsh

This figure shows the co-authorship network connecting the top 25 collaborators of A.C. Hindmarsh. A scholar is included among the top collaborators of A.C. Hindmarsh based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with A.C. Hindmarsh. A.C. Hindmarsh is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Hindmarsh, A.C.. (2019). ODEPACK: Ordinary differential equation solver library. Astrophysics Source Code Library. 4 indexed citations

Hindmarsh, A.C. & Linda Petzold. (2005). LSODA, Ordinary Differential Equation Solver for Stiff or Non-Stiff System. 24 indexed citations

Hindmarsh, A.C., et al.. (2004). User Documentation for KINSOL v2.2.0. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 50(1). 124–32. 15 indexed citations

Hindmarsh, A.C. & Radu Serban. (2004). User Documentation for CVODE v2.2.0. University of North Texas Digital Library (University of North Texas). 11 indexed citations

Rognlien, T.D., X. Q. Xu, & A.C. Hindmarsh. (2002). Application of Parallel Implicit Methods to Edge-Plasma Numerical Simulations. Journal of Computational Physics. 175(1). 249–268. 16 indexed citations

Hindmarsh, A.C.. (1995). Avoiding BDF stability barriers in the MOL solution of advection-dominated problems. Applied Numerical Mathematics. 17(3). 311–318. 8 indexed citations

Ashby, Steven F., Peter N. Brown, M. Dörr, & A.C. Hindmarsh. (1995). A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation. SIAM Journal on Numerical Analysis. 32(1). 128–178. 17 indexed citations

Brown, Peter N., A.C. Hindmarsh, & Linda Petzold. (1994). Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems. SIAM Journal on Scientific Computing. 15(6). 1467–1488. 331 indexed citations

McGraw, James R., et al.. (1991). An examination of the conversion of software to multiprocessors. Journal of Parallel and Distributed Computing. 13(1). 1–16. 2 indexed citations

10.

Johnson, S. H. & A.C. Hindmarsh. (1988). MSRS (Multispecies Shale Retorting Simulator): A Fortran code for the numerical dynamic simulation of solid/fluid reactions in nonisothermal multispecies porous spheres with Stefan-Maxwell diffusion: Final report. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 1 indexed citations

11.

Hindmarsh, A.C.. (1986). NUMERICAL TECHNIQUES FOR ORDINARY DIFFERENTIAL EQUATIONS. CERN Bulletin.

12.

Byrne, George D. & A.C. Hindmarsh. (1985). Experiments in numerical methods for a problem in combustion modeling. Applied Numerical Mathematics. 1(1). 29–57. 8 indexed citations

13.

Johnson, S. H. & A.C. Hindmarsh. (1983). Numerical dynamic simulation of solid-fluid reactions in isothermal porous spheres. Journal of Computational Physics. 52(3). 503–523. 8 indexed citations

14.

Hindmarsh, A.C.. (1982). Stiff-System Problems and Solutions at LLNL. University of North Texas Digital Library (University of North Texas). 1 indexed citations

15.

Hindmarsh, A.C.. (1982). Large ordinary differential equation systems and software. IEEE Control Systems Magazine. 2(4). 24–30. 42 indexed citations

16.

Lastman, G. J., et al.. (1978). Numerical solution of a bubble cavitation problem. Journal of Computational Physics. 28(1). 56–64. 5 indexed citations

17.

Byrne, George D., et al.. (1977). A comparison of two ode codes: gear and episode. Computers & Chemical Engineering. 1(2). 125–131. 45 indexed citations

18.

Hindmarsh, A.C. & George D. Byrne. (1976). Proposed odepack calling sequence. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 1 indexed citations

19.

Hindmarsh, A.C., et al.. (1975). GEARS: solution of ordinary differential equations having a sparse Jacobian matrix. [Package of 13 subroutines in FORTRAN IV for CDC 7600]. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 4 indexed citations

20.

Hindmarsh, A.C.. (1968). Pick’s conditions and analyticity. Pacific Journal of Mathematics. 27(3). 527–531. 29 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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