The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Numerical integration of ordinary differential equations on manifolds
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Citations
Cites
Solving ordinary differential equations I. nonstiff problems
(1987) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(87)90083-8 · Cited by 4,077
IEEE Transactions on Automatic Control
(2023) · IEEE Transactions on Automatic Control · doi:10.1109/tac.9 · Cited by 2,649
Solving Ordinary Differential Equations I
Hairer, E., Nørsett, S. P., & Wanner, G. (1987) · Springer Series in Computational Mathematics · doi:10.1007/978-3-662-12607-3 · Cited by 2,397
Nonlinear controllability and observability
Hermann, R., & Krener, A. (1977) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1977.1101601 · Cited by 2,374
Isaacson, E., Keller, H. B., & Weiss, G. H. (1967) · Physics Today · doi:10.1063/1.3034415 · Cited by 2,262
A Can0nical Integrati0n Technique
Ruth, R. D. (1983) · IEEE Transactions on Nuclear Science · doi:10.1109/tns.1983.4332919 · Cited by 736
Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
Ge, Z., & Marsden, J. E. (1988) · Physics Letters A · doi:10.1016/0375-9601(88)90773-6 · Cited by 456
Crouch, P. (1984) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1984.1103519 · Cited by 450
Self-citationSymplectic integration of Hamiltonian systems
Channell, P. J., & Scovel, C. (1990) · Nonlinearity · doi:10.1088/0951-7715/3/2/001 · Cited by 435
Lie series and invariant functions for analytic symplectic maps
Dragt, A. J., & Finn, J. M. (1976) · Journal of Mathematical Physics · doi:10.1063/1.522868 · Cited by 361
Cited by
On-Manifold Preintegration for Real-Time Visual--Inertial Odometry
Forster, C., Carlone, L., Dellaert, F., & Scaramuzza, D. (2017) · IEEE Transactions on Robotics · doi:10.1109/tro.2016.2597321 · Cited by 1,502
Iserles, A., Munthe-Kaas, H. Z., Nørsett, S. P., & Zanna, A. (2000) · Acta Numerica · doi:10.1017/s0962492900002154 · Cited by 782
Regularizing Flows for Constrained Matrix-Valued Images
Chefd'hotel, C., Tschumperlé, D., Deriche, R., & Faugeras, O. (2004) · Journal of Mathematical Imaging and Vision · doi:10.1023/b:jmiv.0000011920.58935.9c · Cited by 648
The Physics of Granular Materials
Jaeger, H. M., Nagel, S. R., & Behringer, R. P. (1996) · Physics Today · doi:10.1063/1.881494 · Cited by 554
Stabilizing unstable periodic orbits in fast dynamical systems
Socolar, J. E. S., Sukow, D. W., & Gauthier, D. J. (1994) · Physical Review E · doi:10.1103/physreve.50.3245 · Cited by 434
Metadata
- Authors
- Crouch, P. E., & Grossman, R.
- Venue
- Journal of Nonlinear Science
- Published
- 1993-12
- Volume
- 3
- Issue
- 1
- Pages
- 1-33
- ISSN
- 0938-8974 (ISSN-L)
- 1432-1467
- OpenAlex
- W2168771200
- Cited by
- 334
- References
- 14
- FWCI
- 11.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Numerical integration of ordinary differential equations on manifolds. https://app.cochat.ai/papers/10.1007/bf02429858
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- Crouch, P. E., & Grossman, R. (1993). Numerical integration of ordinary differential equations on manifolds. Journal of Nonlinear Science. https://doi.org/10.1007/bf02429858
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
