Results 21 to 30 of about 63,022 (99)

Compatible finite element methods for numerical weather prediction [PDF]

open access: yes, 2014
This article takes the form of a tutorial on the use of a particular class of mixed finite element methods, which can be thought of as the finite element extension of the C-grid staggered finite difference method.
Cotter, C. J., McRae, A. T. T.
core  

Optimizing Control of a Batch Reaction Process [PDF]

open access: yes, 1966
The batch chemical reaction is chosen as the process model to be optimized and the rate constants are functions of pressure only, as the reactions are assumed to occur isothermally.
Sayama, Hayatoshi   +2 more
core   +1 more source

A survey on fractional variational calculus

open access: yes, 2018
Main results and techniques of the fractional calculus of variations are surveyed. We consider variational problems containing Caputo derivatives and study them using both indirect and direct methods.
Almeida, Ricardo, Torres, Delfim F. M.
core   +1 more source

Is the Regge Calculus a consistent approximation to General Relativity?

open access: yes, 2011
We will ask the question of whether or not the Regge calculus (and two related simplicial formulations) is a consistent approximation to General Relativity.
A. P. Gentle   +12 more
core   +1 more source

Calculus of Variations with Classical and Fractional Derivatives [PDF]

open access: yes, 2012
We give a proper fractional extension of the classical calculus of variations. Necessary optimality conditions of Euler-Lagrange type for variational problems containing both classical and fractional derivatives are proved. The fundamental problem of the
Odzijewicz, Tatiana   +1 more
core   +1 more source

Shape optimization of pressurized air bearings [PDF]

open access: yes, 2002
Use of externally pressurized air bearings allows for the design of mechanical systems requiring extreme precision in positioning. One application is the fine control for the positioning of mirrors in large-scale optical telescopes.
Howell, Peter   +7 more
core  

Backward variational approach on time scales with an action depending on the free endpoints

open access: yes, 2011
We establish necessary optimality conditions for variational problems with an action depending on the free endpoints. New transversality conditions are also obtained.
Malinowska, Agnieszka B.   +1 more
core   +1 more source

Symbolic Computation of Conservation Laws of Nonlinear Partial Differential Equations in Multi-dimensions

open access: yes, 2005
A direct method for the computation of polynomial conservation laws of polynomial systems of nonlinear partial differential equations (PDEs) in multi-dimensions is presented. The method avoids advanced differential-geometric tools.
Ablowitz   +29 more
core   +1 more source

The Generalized Fractional Calculus of Variations

open access: yes, 2014
We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods.
Odzijewicz, Tatiana   +1 more
core  

Astrodynamics-optimization theory and guidance theory Research achievements review series no. 15-16 [PDF]

open access: yes
Review of research achievements in astrodynamics, optimization theory, and guidance ...

core   +1 more source

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