Results 11 to 20 of about 982,194 (337)

Improved variational methods in statistical data assimilation [PDF]

Nonlinear Processes in Geophysics, 2015
Data assimilation transfers information from an observed system to a physically based model system with state variables x(t). The observations are typically noisy, the model has errors, and the initial state x(t0) is uncertain: the data assimilation ...
J. Ye, N. Kadakia, P. J. Rozdeba, H. D. I. Abarbanel, J. C. Quinn   +4 more
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Existence of solutions for a perturbed problem with logarithmic potential in $\mathbb{R}^2$

Mathematics in Engineering, 2020
We study a perturbed Schrödinger equation in the plane arising from the coupling of quantum physics with Newtonian gravitation. We obtain some existence results by means of a perturbation technique in Critical Point Theory.
Federico Bernini, Simone Secchi
doaj   +1 more source

VARIATIONAL METHODS IN IMAGE RECOVERY

Pesquimat, 2014
We study the semicuadratic minimization problem of the formthis functional arises in image recovery problems, when aimage that describe a real scene, consider like a function f: ΩR2 → R, is observed and reproduced like a function p: Ω R2 → R.
Víctor Osorio Vidal
doaj   +1 more source

Combined effects for a class of fractional variational inequalities [PDF]

Opuscula Mathematica
In this paper, we study the existence of a nonnegative weak solution to the following nonlocal variational inequality: \[\int_{\mathbb{R}^N}(-\Delta)^{\frac{s}{2}} u (-\Delta)^{{\frac{s}{2}}}(v-u)dx+\int_{\mathbb{R}^N}(1+\lambda M(x))u(v-u)dx \geq \int_{\
Shengbing Deng, Wenshan Luo, César E. Torres Ledesma   +2 more
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Penalty methods for a variational quantum eigensolver

Physical Review Research, 2021
The variational quantum eigensolver (VQE) is a promising algorithm to compute eigenstates and eigenenergies of a given quantum system that can be performed on a near-term quantum computer.
Kohdai Kuroiwa, Yuya O. Nakagawa
doaj   +1 more source

To what extent is your data assimilation scheme designed to find the posterior mean, the posterior mode or something else?

Tellus: Series A, Dynamic Meteorology and Oceanography, 2016
Recently there has been a surge in interest in coupling ensemble-based data assimilation methods with variational methods (commonly referred to as 4DVar).
Daniel Hodyss, Craig H. Bishop, Matthias Morzfeld   +2 more
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Some new classes of general quasi variational inequalities

AIMS Mathematics, 2021
In this paper, we introduce and consider some new classes of general quasi variational inequalities, which provide us with unified, natural, novel and simple framework to consider a wide class of unrelated problems arising in pure and applied sciences ...
Muhammad Aslam Noor , Khalida Inayat Noor , Bandar B. Mohsen   +2 more
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Probing foamy spacetime with Variational Methods [PDF]

, 1998
A one-loop correction of the quasilocal energy in the Schwarzschild background, with flat space as a reference metric, is performed by means of a variational procedure in the Hamiltonian framework. We examine the graviton sector in momentum space, in the
Garattini, Remo
core   +2 more sources

Modeling Variational Inpainting Methods With Splines

Frontiers in Applied Mathematics and Statistics, 2019
Mathematical methods of image inpainting often involve the discretization of a given continuous model. Typically, this is done by a pointwise discretization.
Florian Boßmann, Tomas Sauer, Nada Sissouno   +2 more
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Variational Methods for Atoms and the Virial Theorem

Atoms, 2022
In the case of the one-electron Dirac equation with a point nucleus, the virial theorem (VT) states that the ratio of the kinetic energy to potential energy is exactly −1, a ratio that can be an independent test of the accuracy of a computed solution ...
Charlotte Froese Fischer, Michel Godefroid   +1 more
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