Nonconforming finite-element discretization of convex variational problems [PDF]
, 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
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Variational schemes in the Fokker - Planck equation [PDF]
Journal of Physics A: Mathematical and General, 1996 We investigate variational methods for finding approximate solutions to the Fokker-Planck equation, especially in cases lacking detailed balance. These schemes fall into two classes: those in which a Hermitian operator is constructed from the (non-Hermitian) Fokker-Planck operator, and those which are based on soluble approximations to this operator ...
Blum, T., McKane, A. J.
openaire +4 more sources
Optimal solution error covariance in highly nonlinear problems of variational data assimilation [PDF]
, 2012 The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem (see, e.g.[1]) to find the initial condition, boundary conditions or model parameters.
Le Dimet, F.X. +11 more
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Numerical Modeling of Marine Circulation with 4D Variational Data Assimilation
Journal of Marine Science and Engineering, 2020 The technology is presented for modeling and prediction of marine hydrophysical fields based on the 4D variational data assimilation technique developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences (INM RAS).
Vladimir Zalesny +4 more
doaj +1 more source
The variational iteration method for solving linear and nonlinear Schrodinger equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2009 In this paper, the variational iteration method proposed by Ji-Huan He is applied to solve both linear and nonlinear Schrodinger equations. The main property of the method is in its flexibility and ability to solve linear and nonlinear equations ...
B. Jazbi, M. Moini
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Variational Methods in Surface Parameterization [PDF]
, 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
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Fractional View Analysis of Acoustic Wave Equations, Using Fractional-Order Differential Equations
Applied Sciences, 2020 In the present research work, a newly developed technique which is known as variational homotopy perturbation transform method is implemented to solve fractional-order acoustic wave equations.
Izaz Ali +5 more
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Hamilton-Pontryagin Integrators on Lie Groups [PDF]
, 2007 In this thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie group are derived from a Hamilton-Pontryagin (HP) variational principle.
Bou-Rabee, Nawaf Mohammed
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The Role of “Adult‐Onset” Cancer Predisposition Genes in Pediatric Cancer: A Comprehensive Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Current literature estimates that 10% of pediatric cancers are caused by pathogenic or likely pathogenic (P/LP) germline variants in cancer predisposition genes (CPGs). Variants in CPGs thought to increase cancer risk exclusively during adulthood are referred to as “adult‐onset” CPGs (aoCPGs).
Maria Rozo +5 more
wiley +1 more source
Exact analytical solution of tempered fractional heat-like (diffusion) equations by the modified variational iteration method [PDF]
Journal of Mahani Mathematical Research This paper introduces a modified version of the Variational Iteration Method, incorporating $\mathbb{P}$-transformation. We propose a novel semi-analytical technique named the modified variational iteration method for addressing fractional ...
Mohammad Hossein Akrami +2 more
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