AN INTRODUCTION TO SINGULAR PERTURBATIONS
By A. Macgillivray. 2000
300 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/b1e185d6f80163837b56b7cbaff1e9cd39b3a647
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Srinivasan Natesan
- Jesús Vigo-Aguiar
- E. O 'riordan
- G. I. Shishkin
- J. Jayakumar
- Martin Krupa
- Maria Pickett
- Sergio Rinaldi
In Numerical Analysis
- Srinivasan Natesan
- Jesús Vigo-Aguiar
- E. O 'riordan
- G. I. Shishkin
- J. Jayakumar
- Martin Krupa
- Maria Pickett
- Sergio Rinaldi
Citations in the corpus
- On an accurate third order implicit-explicit Runge--Kutta method for stiff problems (2009, background): “System (2), is a singular perturbation problem, (SPP) [25,21].”
- Relaxation Oscillation and Canard Explosion (2001, background): “We feel that this point of view is well suited to address singular perturbation problems, which by definition are problems that can not be approximated uniformly by a single expansion [3, 17, 21].”
- Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: a review (2012, background): “49 It should be mentioned that several books appeared on the subject of mathematical meth50 ods in engineering problem during the past decade [10, 48, 54, 77, 113, 125, 133, 137, 144– 51 146, 180, 186, 187].”
- Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes (2003, methodology): “[4] R. E. O’Malley Jr, Two–parameter singular perturbation problems for second order equations, J. Math.”
- Geometric Analysis of Ecological Models with Slow and Fast Processes (2000, background): “A convincing treatment of the risks of being close to a fold bifurcation in the case of lake management is provided by Carpenter and others (1999).”
- Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers (2003, methodology): “The qualitative aspects of these problems, like existence, uniqueness and asymptotic behavior of the solution was studied by O'Malley [13] and Wasow [16].”
- Singular perturbations and time scales in control theory and applications: An overview (2002, background): “Also, see research monographs and books (including the general area of singular perturbation theory) [110, 102, 458, 198, 80, 103, 327, 442, 337, 104, 296, 299, 203, 328, 64, 183, 57, 325, 329, 411, 229, 230, 161, 228, 32, 311, 118, 141, 245, 174, 309, 338, 49, 452, 143, 9, 443, 204, 205, 31, 376, 1”