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Assessing and improving reliability of neighbor embedding methods: a map-continuity perspective. [PDF]
Liu Z, Ma R, Zhong Y.
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Toward dynamic graph representation of 12-lead ECG in multimodal surgical risk assessment. [PDF]
Zhao S, Zhu S, Yua B.
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Analytical characterization of optical solitons and bifurcation analysis for the (2+1)-D Wazwaz-Kaur Boussinesq equation. [PDF]
Samir I +4 more
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Bifurcation analysis and soliton solutions of the generalized third-order nonlinear Schrödinger equation using two analytical approaches. [PDF]
Parveen S +6 more
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Singular Perturbations of Bifurcations
SIAM Journal on Applied Mathematics, 1977An asymptotic theory is presented to analyze perturbations of bifurcations of the solutions of nonlinear problems. The perturbations may result from imperfections, impurities, or other inhomogeneities in the corresponding physical problem. It is shown that for a wide class of problems the perturbations are singular.
Matkowsky, Bernard J., Reiss, Edward L.
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1999
Abstract This Chapter is concerned with approximating to the solutions of differential equations containing a small parameter E in what might be called difficult cases where, for one reason or another, a straightforward expansion of the solution in powers of c is unobtainable or unusable.
D W Jordan, P Smith
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Abstract This Chapter is concerned with approximating to the solutions of differential equations containing a small parameter E in what might be called difficult cases where, for one reason or another, a straightforward expansion of the solution in powers of c is unobtainable or unusable.
D W Jordan, P Smith
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Singular singular-perturbation problems
1977Abstract : Consider initial problems for nonlinear singularly perturbed systems of the form epsilon sub z dot = f(z,t,epsilon) in the singular situation that f sub z(z,t,0) has a nontrivial null space. Under appropriate hypotheses, such problems have asymptotic solutions as epsilon approaches 0 for t or = 0 consisting of the sum of a function of t and ...
R. E. O'Malley, J. E. Flaherty
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SINGULAR PERTURBATION AND INTERPOLATION
Mathematical Models and Methods in Applied Sciences, 1994It is well known that the rate of convergence of the solution uε of a singular perturbed problem to the solution u of the unperturbed equation can be measured in terms of the “smoothness” of u; smoothness which, in turn, can be expressed in terms of linear interpolation theory.
BAIOCCHI C., SAVARE', GIUSEPPE
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