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A locally parameterized continuation process
Open accessAbstract
The design of a package of continuation procedures called PITCON to handle the following tasks is described' (1) follow numerically any a priori specified curve on an equilibrium manifold; (2) on such a curve determine the exact location of target points where a given variable has a specified value; and(3) on such a curve identify and compute exactly the (simple) limit points where stability may be lost.The process is based on the local parametenzatmn wh]ch uses an estimate of the curvature to control the chome of parameter varmble.Categorms and Subject Descriptors.G 1.
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Cited by
Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space
Maas, U., & Pope, S. B. (1992) · Combustion and Flame · doi:10.1016/0010-2180(92)90034-m · Cited by 1,539
Differential analysis of bifurcations and isolated singularities for robots and mechanisms
Kieffer, J. (1994) · IEEE Transactions on Robotics and Automation · doi:10.1109/70.285580 · Cited by 101
Metadata
- Authors
- Rheinboldt, W. C., & Burkardt, J. V.
- Venue
- ACM Transactions on Mathematical Software
- Published
- 1983-06
- Volume
- 9
- Issue
- 2
- Pages
- 215-235
- ISSN
- 0098-3500 (ISSN-L)
- 1557-7295
- OpenAlex
- W2040621366
- Cited by
- 227
- References
- 0
- FWCI
- 28.66
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Rheinboldt, W. C., & Burkardt, J. V. (1983). A locally parameterized continuation process. ACM Transactions on Mathematical Software. https://doi.org/10.1145/357456.357460
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