On continuous solutions of the Cauchy problem for equations of fractional order
It is studied the nonlocal conditions of solving Cauchy-type problem for fractional differential equations with Riemann – Liouville derivatives in some special function space.
Petr P. Zabreiko, Svetlana V. Ponomareva
doaj
In this work, an inverse Cauchy problem of Helmholtz equation for thermal conductivity at the edge of the target was considered. In this paper, temperature on the unknown boundary (the inner boundary) is determined, by taking advantage of the Cauchy ...
salah ibrahim, Fatima Mohammed Aboud
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Note on asymptotical behavior of solutions of Emden-Fowler equation and the existence and uniqueness of solution of some Cauchy problem [PDF]
Đorđe Krtinić, Marija Mikić
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A Parallelized 3D Geomechanical Solver for Fluid‐Induced Fault Slip in Poroelastic Media
ABSTRACT We present a fully implicit formulation of coupled fluid flow and geomechanics for fluid injection/withdrawal in fractured reservoirs in the context of CO2$\textrm {CO}_2$ storage. Utilizing a Galerkin finite‐element approach, both flow and poroelasticity equations are discretized on a shared three‐dimensional mesh.
Emil Rinatovich Gallyamov +4 more
wiley +1 more source
Data assimilation with extremum Monte Carlo methods
This study presents the extremum Monte Carlo filter as a data assimilation method and, in particular, a variant of the variational approach (three‐ and four‐dimensional variational), where the state estimates are obtained by solving an optimization problem numerically over a space of prediction functions, instead of the state space itself.
Karim Moussa, Siem Jan Koopman
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On the Cauchy problem for a degenerate parabolic differential equation
The aim of this work is to prove the existence and the uniqueness of the solution of a degenerate parabolic equation. This is done using H. Tanabe and P.E. Sobolevsldi theory.
Ahmed El-Fiky
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Method of Lines Approximations to Cauchy Problems for Elliptic Equations in Two Dimensions [PDF]
Marvin Charton, H.-J. Reinhardt
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Loss Behavior in Supervised Learning With Entangled States
Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
wiley +1 more source
A new smooth failure criterion for concrete inspired by Lubliner's condition
Abstract A new failure criterion with 10 parameters is proposed, based on Lubliner's idea of joining two Drucker–Prager cones. The novelty lies in the way of introducing deviatoric shape variation: through two Podgórski's functions. This feature allows for improving plane stress cross‐section's compatibility with experimental data.
Inez Kamińska, Aleksander Szwed
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Estimation of Daily Smoking Prevalence for Disaggregated Statistical Areas in Australia
ABSTRACT Motivated by the need to estimate prevalence at multiple disaggregated level hierarchies, rather than only one, this study extends widely used area‐level models in Bayesian and frequentist framework. We propose adding additional unstructured random effects at higher level disaggregated domains to the traditional models. Using our extension, we
Sumonkanti Das +4 more
wiley +1 more source

