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Scale-dependent biases in systematic land cover maps undermine freshwater ecological assessment. [PDF]

Environ Monit Assess
Fernández de Larrea I, González-Ibarzabal J, Bastarrika A, Larrañaga A.   +3 more
europepmc   +1 more source

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Approximate Group Analysis and Multiple Time Scales Method for the Approximate Boussinesq Equation

Nonlinear Dynamics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Formal Equivalence of Normal Form Theory and the Method of Multiple Time Scales

Journal of Computational and Nonlinear Dynamics, 2009
Multiple time scales technique has long been an important method for the analysis of weakly nonlinear systems. In this technique, a set of multiple time scales is introduced that serve as independent variables. The evolution of state variables at slower time scales is then determined so as to make the expansions for solutions in a perturbation scheme ...
Fengxia Wang, Anil K. Bajaj
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An efficient numerical method for solving dynamical systems with multiple time scales

Communications on Analysis and Computation
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Wang, Zhongjian, Zhang, Zhiwen
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Modified poisson series to implement the method of multiple scales [PDF]

Mathematical Methods in the Applied Sciences, 2017
The method of multiple scales is a global perturbation technique that has resulted to be very useful in perturbed ordinary differential equations characterized by disparate time scales.
Juan F Navarro
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On the Reconstitution Problem in the Multiple Time-Scale Method

Nonlinear Dynamics, 1999
The authors consider general systems of the form \(\ddot q+F(q, \dot q,t;\mu)=0\), where \(\mu\) is a vector containing small physical quantities, or small deviations from the critical values of other parameters. A perturbation parameter \(\varepsilon\) is introduced by the equation \(\mu= \varepsilon \widehat\mu\), \(\widehat\mu= O(1)\), then the ...
LUONGO, Angelo, Paolone A.
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Extrapolated Multirate Methods for Differential Equations with Multiple Time Scales

Journal of Scientific Computing, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emil M. Constantinescu, Adrian Sandu
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On the multiple time-scales perturbation method for differential-delay equations

Nonlinear Dynamics
N. Binatari, W. T. van Horssen, P. Verstraten, F. Adi-Kusumo, L. Aryati   +4 more
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Multiple time scale method for atomistic simulations

Computational Mechanics, 2008
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Medyanik, Sergey N., Liu, Wing Kam
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Multiple Time Scale Methods and Gyrotrons

1987
Abstract : Objectives were to complete a study of one-dimensional electrostatic plasmas using the discrete Hamiltonian method, and to construct a model of ridged high harmonic gyrtron oscillators using standard gyrotron modeling techniques. Ridged gyrotrons appear ideal for the future application of the multiple time scale, discrete Hamiltonian method.
Peter Vitello, Curtic R. Menyuk
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