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The Variational Iteration Transform Method for Solving the Time-Fractional Fornberg–Whitham Equation and Comparison with Decomposition Transform Method

open access: yesMathematics, 2021
In this article, modified techniques, namely the variational iteration transform and Shehu decomposition method, are implemented to achieve an approximate analytical solution for the time-fractional Fornberg–Whitham equation. A comparison is made between
Nehad Ali Shah   +4 more
doaj   +1 more source

Variational Integrators [PDF]

open access: yes, 2004
Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
core   +1 more source

Variational Time Integrators in Computational Solid Mechanics [PDF]

open access: yes, 2003
This thesis develops the theory and implementation of variational integrators for computational solid mechanics problems, and to some extent, for fluid mechanics problems as well.
Lew, Adrián José
core   +1 more source

Variational Methods for Nonsmooth Mechanics [PDF]

open access: yes, 2003
In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
core   +1 more source

Fractional variational problems depending on indefinite integrals [PDF]

open access: yes, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor   +8 more
core   +2 more sources

Variational Methods in Surface Parameterization [PDF]

open access: yes, 2005
A surface parameterization is a function that maps coordinates in a 2-dimensional parameter space to points on a surface. This thesis investigates two kinds of parameterizations for surfaces that are disc-like in shape.
Litke, Nathan Jacob
core   +1 more source

Nonconforming finite-element discretization of convex variational problems [PDF]

open access: yes, 2011
The Lavrentiev gap phenomenon is a well-known effect in the calculus of variations, related to singularities of minimizers. In its presence, conforming finite-element methods are incapable of reaching the energy minimum.
Ortner, Christoph
core   +1 more source

Deinterlacing Using Variational Methods [PDF]

open access: yesIEEE Transactions on Image Processing, 2008
We present a variational framework for deinterlacing that was originally used for inpainting and subsequently redeveloped for deinterlacing. From the framework, we derive a motion adaptive (MA) deinterlacer and a motion compensated (MC) deinterlacer and test them together with a selection of known deinterlacers.
Sune Høgild Keller   +2 more
openaire   +3 more sources

Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrödinger Equation

open access: yesThe Scientific World Journal, 2014
Based on He’s variational iteration method idea, we modified the fractional variational iteration method and applied it to construct some approximate solutions of the generalized time-space fractional Schrödinger equation (GFNLS).
Baojian Hong, Dianchen Lu
doaj   +1 more source

Four-dimensional variational data assimilation for inverse modelling of atmospheric methane emissions: method and comparison with synthesis inversion [PDF]

open access: yes, 2008
A four-dimensional variational (4D-Var) data assimilation system for inverse modelling of atmospheric methane emissions is presented. The system is based on the TM5 atmospheric transport model.
Bergamaschi, P.   +10 more
core   +1 more source

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