Communications in Nonlinear Science and Numerical Simulation

Journal: Communications in Nonlinear Science and Numerical Simulation

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Elsevier

ISSN

1007-5704

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Publications 1 - 9 of 9

Generalized crane flows of micropolar fluids
Magyari, E.; Kumaran, V. (2010)
Communications in Nonlinear Science and Numerical Simulation
Effective measure of endogeneity for the Autoregressive Conditional Duration point processes via mapping to the self-excited Hawkes process
Filimonov, Vladimir; Wheatley, Spencer; Sornette, Didier (2015)
Communications in Nonlinear Science and Numerical Simulation
Switching moving boundary models for two-phase flow evaporators and condensers
Bonilla, Javier; Dormido, Sebastián; Cellier, François E. (2015)
Communications in Nonlinear Science and Numerical Simulation
The homotopy analysis method for multiple solutions of nonlinear boundary value problems
Abbasbandy, S.; Magyari, E.; Shivanian, E. (2009)
Communications in Nonlinear Science and Numerical Simulation
Aiding and opposing mixed convection flows over the Riga-plate
Magyari, Eugen; Pantokratoras, Asterios (2011)
Communications in Nonlinear Science and Numerical Simulation
Variable-order fractional calculus: A change of perspective
Garrappa, Roberto; Giusti, Andrea; Mainardi, Francesco (2021)
Communications in Nonlinear Science and Numerical Simulation
Several approaches to the formulation of a fractional theory of calculus of “variable order” have appeared in the literature over the years. Unfortunately, most of these proposals lack a rigorous mathematical framework. We consider an alternative view on the problem, originally proposed by G. Scarpi in the early seventies, based on a naive modification of the representation in the Laplace domain of standard kernels functions involved in (constant-order) fractional calculus. We frame Scarpi's ideas within recent theory of General Fractional Derivatives and Integrals, that mostly rely on the Sonine condition, and investigate the main properties of the emerging variable-order operators. Then, taking advantage of powerful and easy-to-use numerical methods for the inversion of Laplace transforms of functions defined in the Laplace domain, we discuss some practical applications of the variable-order Scarpi integral and derivative.
A similarity solution in order to solve the governing equations of laminar separated fluids with a flat plate
Shokouhmand, Hossein; Pakdaman, Mohammad Fakoor; Kooshkbaghi, Mahdi (2010)
Communications in Nonlinear Science and Numerical Simulation
An efficient Monte Carlo scheme for Zakai equations
Beck, Christian; Becker, Sebastian; Cheridito, Patrick; et al. (2023)
Communications in Nonlinear Science and Numerical Simulation
In this paper we develop a numerical method for efficiently approximating solutions of certain Zakai equations in high dimensions. The key idea is to transform a given Zakai SPDE into a PDE with random coefficients. We show that under suitable regularity assumptions on the coefficients of the Zakai equation, the corresponding random PDE admits a solution random field which, for almost all realizations of the random coefficients, can be written as a classical solution of a linear parabolic PDE. This makes it possible to apply the Feynman–Kac formula to obtain an efficient Monte Carlo scheme for computing approximate solutions of Zakai equations. The approach achieves good results in up to 25 dimensions with fast run times.
Hydrocarbon microtremors interpreted as nonlinear oscillations driven by oceanic background waves
Holzner, Reto; Eschle, Patrik; Dangel, Stefan; et al. (2009)
Communications in Nonlinear Science and Numerical Simulation

Publications 1 - 9 of 9

Journal: Communications in Nonlinear Science and Numerical Simulation

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