Results 261 to 270 of about 692,239 (312)

Analytic Solutions of Systems

Journal of Dynamical and Control Systems, 2002
The authors present functional series solutions to a nonlinear analytical system for the unknown state variable, and functional series solutions to analytic infinite-dimensional linear systems. Both systems are solved by the SWSE (Summing weighted sequential error) method.
Stefanovski, J., Trenčevski, K.
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Coulomb expansion: Analytical solutions

Physical Review E, 2013
Exact and approximate analytical solutions are presented, describing expansion of a cloud of charged particles in one, two, and three dimensions (assuming the planar, axial, and spherical symmetries, respectively). The expansion occurs in a gas or dilute plasma, where the screening is unimportant, so that particles interact with each other via Coulomb ...
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Analytical Solution of the Logistic Equation

International Journal of Bifurcation and Chaos, 1997
An analytical solution for the well-known quadratic recursion, also known as the logistic map, is presented. Our derivation makes use of the analogy between this equation and Galton–Watson processes. The latter can be treated in a linear way using the transfer matrix technique. The solution is represented as a power of an appropriate transfer matrix.
Rabinovich, S., Berkolaiko, G., Buldyrev, S., Shehter, A., Havlin, S.   +4 more
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Analytical Methods Of Solution

1969
The theory developed in the previous chapters shows that the study of the linearized Boltzmann equation is a worthwhile undertaking and that many of the features of its solutions can be retained by using model equations. We can say more, that practically all the features are retained by a properly chosen model.
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A PaaS for composite analytics solutions

Proceedings of the 12th ACM International Conference on Computing Frontiers, 2015
In their pursuit of market competitiveness and sustainable top line growth, enterprises are increasingly turning to sophisticated analytics solutions to derive insights and value from the deluge of data that are being generated from all sources. Leading practitioners of Big Data analytics have already moved past the stage of using single analytics ...
Paula Austel, Han Chen, Parijat Dube, Thomas A. Mikalsen, Isabelle Rouvellou, Upendra Sharma, Ignacio Silva-Lepe, Revathi Subramanian, Wei Tan 0001, Yandong Wang   +9 more
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Analytic solutions for multiple motions

Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205), 2002
A novel framework for single and multiple motion estimation is presented. It is based on a generalized structure tensor that contains blurred products of directional derivatives. The order of differentiation increases with the number of motions but more general linear filters can be used instead of derivatives.
Cicero Mota, Ingo Stuke, Erhardt Barth
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Analytical solution for the Feynman ratchet

Physical Review E, 2002
A search for an analytical, closed form solution of the Fokker-Planck equation with periodic, asymmetric potentials (ratchets) is presented. It is found that logarithmic-type potential functions (related to "entropic" ratchets) allow for an approximate solution within a certain range of parameters. An expression for the net current is calculated and it
Karol, Pesz, Barbara J, Gabryś, Stanisław J, Bartkiewicz   +2 more
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Analytic solution of a chaotic inflaton

Physical Review D, 1989
We directly solve the Langevin equation of motion for a scalar field in theslow-roll limit for a lambda/phi//sup 4//4 potential. The probabilitydistribution for the inflaton and several moments of the distribution are alsocalculated. An upper bound to the percentage deviation of the mean of thedistribution from the classical value is also derived.
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Rational Interpolation: Analytical Solution

Siberian Mathematical Journal, 2001
Summary: The classical problem of interpolation by rational functions is well known to be reduced to a system of linear algebraic equations, but the resultant system is usually complicated for qualitative analysis and numerical implementation. We propose a new approach which generalizes the polynomial interpolation to the rational interpolation both in
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Analytical Solutions for Catenary Domes

Journal of Engineering Mechanics, 2015
A new concept for designing a dome is introduced. The dome is inverted from a basket made of catenary strips, thereby maintaining the optimal properties of the catenary. Four kinds of domes are considered: the polygonal catenary dome, the catenary dome of uniform thickness, the catenary dome of uniform stress, and a dome supporting a uniform platform ...
Wang, C. Y., Wang, C. M.
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