Results 1 to 10 of about 63,003 (80)

Differential transform method: A comprehensive review and analysis [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
The complexity of solving differential equations in real-world applications motivates researchers to extend numerical methods. Among different numerical and semi-analytical methods for solving initial and boundary value problems, the differential ...
S.H. Hashemi Mehne
doaj   +1 more source

Different Groups of Variational Principles for Whitham-Broer-‎Kaup Equations in Shallow Water [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2020
Because the variational theory is the theoretical basis for many kinds of analytical or numerical methods, it is an essential but difficult task to seek explicit functional formulations whose extrema are sought by the nonlinear and complex models. By the
Xiao-Qun Cao   +4 more
doaj   +1 more source

Flow development region in the boundary layer: two-component molecular viscosity and partial slip

open access: yesАвіаційно-космічна техніка та технологія, 2023
The subject of this study is the flow development region of laminar incompressible fluid flow in the boundary layer. This flow is an example where a direct application of the Navier-Stokes equations of gradient-free laminar incompressible fluid flow, in ...
Pavlo Lukianov, Lin Song
doaj   +1 more source

Regge Calculus as a Fourth Order Method in Numerical Relativity [PDF]

open access: yes, 1995
The convergence properties of numerical Regge calculus as an approximation to continuum vacuum General Relativity is studied, both analytically and numerically.
Barrett J W   +15 more
core   +3 more sources

Computation of option greeks under hybrid stochastic volatility models via Malliavin calculus [PDF]

open access: yes, 2018
This study introduces computation of option sensitivities (Greeks) using the Malliavin calculus under the assumption that the underlying asset and interest rate both evolve from a stochastic volatility model and a stochastic interest rate model ...
Yilmaz, Bilgi
core   +2 more sources

Evolutionary Mathematical Science, Fractional Modeling and Artificial Intelligence of Nonlinear Dynamics in Complex Systems

open access: yesChaos Theory and Applications, 2022
Complex problems in nonlinear dynamics foreground the critical support of artificial phenomena so that each domain of complex systems can generate applicable answers and solutions to the pressing challenges.
Dumitru Baleanu, Yeliz Karaca
doaj  

Discrete mechanics and optimal control: An analysis [PDF]

open access: yes, 2009
The optimal control of a mechanical system is of crucial importance in many application areas. Typical examples are the determination of a time-minimal path in vehicle dynamics, a minimal energy trajectory in space mission design, or optimal motion ...
Junge, Oliver   +2 more
core   +3 more sources

Recent Progress in Regge Calculus [PDF]

open access: yes, 1997
While there has been some advance in the use of Regge calculus as a tool in numerical relativity, the main progress in Regge calculus recently has been in quantum gravity. After a brief discussion of this progress, attention is focussed on two particular,
Ambjorn   +19 more
core   +2 more sources

A Total Fractional-Order Variation Model for Image Restoration with Non-homogeneous Boundary Conditions and its Numerical Solution [PDF]

open access: yes, 2015
To overcome the weakness of a total variation based model for image restoration, various high order (typically second order) regularization models have been proposed and studied recently.
Chen, Ke, Zhang, Jianping
core   +2 more sources

Leitmann's direct method for fractional optimization problems

open access: yes, 2010
Based on a method introduced by Leitmann [Internat. J. Non-Linear Mech. {\bf 2} (1967), 55--59], we exhibit exact solutions for some fractional optimization problems of the calculus of variations and optimal control.Comment: Submitted June 16, 2009 and ...
Agrawal   +26 more
core   +1 more source

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