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Convergence of Tikhonov regularization for solving ill--posed operator equations with solutions defined on surfaces

Inverse Problems and Imaging  Volume 11, Issue 2, Pages : 221 - 246, 2017

Guozhi Dong - (email), Bert Jüttler - (email), Otmar Scherzer - (email), Thomas Takacs - (email)

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2

Homogenization of trajectory attractors of 3D Navier--Stokes system with randomly oscillating force

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2375 - 2393, 2017

Kuanysh A. Bekmaganbetov - (email), Gregory A. Chechkin - (email), Vladimir V. Chepyzhov - (email), Andrey Yu. Goritsky - (email)

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3

A numerical scheme for pricing American options with transaction costs under a jump diffusion process

Journal of Industrial and Management Optimization  Volume 13, Issue 2, Pages : 19 - 19, 2016

Donny Citra Lesmana - (email), Song Wang - (email)

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4

A uniform discrete inf-sup inequality for finite element hydro-elastic models

Evolution Equations and Control Theory  Volume 5, Issue 4, Pages : 515 - 531, 2016

George Avalos - (email), Daniel Toundykov - (email)

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5

A subgradient-based convex approximations method for DC programming and its applications

Journal of Industrial and Management Optimization  Volume 12, Issue 4, Pages : 1349 - 1366, 2016

Jian Gu - (email), Xiantao Xiao - (email), Liwei Zhang - (email)

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6

A new convergence proof of augmented Lagrangian-based method with full Jacobian decomposition for structured variational inequalities

Numerical Algebra, Control and Optimization  Volume 6, Issue 1, Pages : 45 - 54, 2016

Xi-Hong Yan - (email)

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7

Sign-error adaptive filtering algorithms involving Markovian parameters

Mathematical Control and Related Fields  Volume 5, Issue 4, Pages : 781 - 806, 2015

Araz Hashemi - (email), George Yin - (email), Le Yi Wang - (email)

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8

An augmented Lagrangian-based parallel splitting method for a one-leader-two-follower game

Journal of Industrial and Management Optimization  Volume 12, Issue 3, Pages : 879 - 890, 2015

Xihong Yan - (email)

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9

Stability and convergence of time-stepping methods for a nonlocal model for diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 5, Pages : 1315 - 1335, 2015

Qingguang Guan - (email), Max Gunzburger - (email)

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10

On the global convergence of a parameter-adjusting Levenberg-Marquardt method

Numerical Algebra, Control and Optimization  Volume 5, Issue 1, Pages : 25 - 36, 2015

Liyan Qi - (email), Xiantao Xiao - (email), Liwei Zhang - (email)

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11

A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors

Inverse Problems and Imaging  Volume 9, Issue 1, Pages : 27 - 53, 2015

Tan Bui-Thanh - (email), Omar Ghattas - (email)

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12

Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations

Kinetic and Related Models  Volume 7, Issue 4, Pages : 713 - 737, 2014

Rajesh Kumar - (email), Jitendra Kumar - (email), Gerald Warnecke - (email)

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13

Two approaches for solving mathematical programs with second-order cone complementarity constraints

Journal of Industrial and Management Optimization  Volume 11, Issue 3, Pages : 951 - 968, 2014

Xi-De Zhu - (email), Li-Ping Pang - (email), Gui-Hua Lin - (email)

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14

A new auxiliary function method for systems of nonlinear equations

Journal of Industrial and Management Optimization  Volume 11, Issue 2, Pages : 345 - 364, 2014

Zhiyou Wu - (email), Fusheng Bai - (email), Guoquan Li - (email), Yongjian Yang - (email)

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15

Neural network smoothing approximation method for stochastic variational inequality problems

Journal of Industrial and Management Optimization  Volume 11, Issue 2, Pages : 645 - 660, 2014

Hui-Qiang Ma - (email), Nan-Jing Huang - (email)

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16

Thermomechanics of hydrogen storage in metallic hydrides: Modeling and analysis

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2313 - 2333, 2014

Tomáš Roubíček - (email), Giuseppe Tomassetti - (email)

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17

Convergent finite differences for 1D viscous isentropic flow in Eulerian coordinates

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 5, Pages : 993 - 1023, 2014

Trygve K. Karper - (email)

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18

A finite difference method for pricing European and American options under a geometric Lévy process

Journal of Industrial and Management Optimization  Volume 11, Issue 1, Pages : 241 - 264, 2014

Wen Chen - (email), Song Wang - (email)

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19

A survey of migration-selection models in population genetics

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 883 - 959, 2014

Reinhard Bürger - (email)

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20

A structured model for the spread of Mycobacterium marinum: Foundations for a numerical approximation scheme

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 679 - 721, 2014

Azmy S. Ackleh - (email), Mark L. Delcambre - (email), Karyn L. Sutton - (email), Don G. Ennis - (email)

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21

The Cauchy problem for the Vlasov-Dirac-Benney equation and related issues in fluid mechanics and semi-classical limits

Kinetic and Related Models  Volume 6, Issue 4, Pages : 893 - 917, 2013

Claude Bardos - (email), Nicolas Besse - (email)

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22

A sample average approximation method based on a D-gap function for stochastic variational inequality problems

Journal of Industrial and Management Optimization  Volume 10, Issue 3, Pages : 977 - 987, 2013

Suxiang He - (email), Pan Zhang - (email), Xiao Hu - (email), Rong Hu - (email)

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23

Convergence analysis of Euler discretization of control-state constrained optimal control problems with controls of bounded variation

Journal of Industrial and Management Optimization  Volume 10, Issue 1, Pages : 311 - 336, 2013

Matthias Gerdts - (email), Martin Kunkel - (email)

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24

A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2211 - 2238, 2013

Andreas C. Aristotelous - (email), Ohannes Karakashian - (email), Steven M. Wise - (email)

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25

Michaelis-Menten kinetics, the operator-repressor system, and least squares approaches

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1541 - 1560, 2013

Karl Peter Hadeler - (email)

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26

Partial Newton methods for a system of equations

Numerical Algebra, Control and Optimization  Volume 3, Issue 3, Pages : 463 - 469, 2013

B. S. Goh - (email), W. J. Leong - (email), Z. Siri - (email)

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27

Another note on some quadrature based three-step iterative methods for non-linear equations

Numerical Algebra, Control and Optimization  Volume 3, Issue 3, Pages : 549 - 555, 2013

Sanjay Khattri - (email)

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28

A note on global asymptotic stability of nonautonomous master equations

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 8, Pages : 2143 - 2149, 2013

Christian Lax - (email), Sebastian Walcher - (email)

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29

A structured trust region method for nonconvex programming with separable structure

Numerical Algebra, Control and Optimization  Volume 3, Issue 2, Pages : 283 - 293, 2013

Dan Xue - (email), Wenyu Sun - (email), Hongjin He - (email)

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30

Nonmonotone retrospective conic trust region method for unconstrained optimization

Numerical Algebra, Control and Optimization  Volume 3, Issue 2, Pages : 309 - 325, 2013

Lijuan Zhao - (email), Wenyu Sun - (email)

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31

An adaptive wavelet method and its analysis for parabolic equations

Numerical Algebra, Control and Optimization  Volume 3, Issue 2, Pages : 327 - 345, 2013

Qiang Guo - (email), Dong Liang - (email)

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32

Global asymptotic dynamics of a class of nonlinearly coupled neural networks with delays

Discrete and Continuous Dynamical Systems  Volume 33, Issue 10, Pages : 4693 - 4729, 2013

Jui-Pin Tseng - (email)

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33

A penalty-free method for equality constrained optimization

Journal of Industrial and Management Optimization  Volume 9, Issue 2, Pages : 391 - 409, 2013

Zhongwen Chen - (email), Songqiang Qiu - (email), Yujie Jiao - (email)

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34

Approximation of the trajectory attractor of the 3D MHD System

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 2119 - 2144, 2013

Gabriel Deugoue - (email)

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35

Inverse acoustic obstacle scattering problems using multifrequency measurements

Inverse Problems and Imaging  Volume 6, Issue 4, Pages : 749 - 773, 2012

Mourad Sini - (email), Nguyen Trung Thành - (email)

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36

On product-type generalized block AOR method for augmented linear systems

Numerical Algebra, Control and Optimization  Volume 2, Issue 4, Pages : 797 - 809, 2012

Fang Chen - (email), Ning Gao - (email), Yao- Lin Jiang - (email)

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37

Newton-MHSS methods for solving systems of nonlinear equations with complex symmetric Jacobian matrices

Numerical Algebra, Control and Optimization  Volume 2, Issue 4, Pages : 839 - 853, 2012

Ai-Li Yang - (email), Yu-Jiang Wu - (email)

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38

On convergence of the inner-outer iteration method for computing PageRank

Numerical Algebra, Control and Optimization  Volume 2, Issue 4, Pages : 855 - 862, 2012

Zhong-Zhi Bai - (email)

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39

On the convergence of generalized parallel multisplitting iterative methods for semidefinite linear systems

Numerical Algebra, Control and Optimization  Volume 2, Issue 4, Pages : 863 - 873, 2012

Yanxing Cui - (email), Chuanlong Wang - (email), Ruiping Wen - (email)

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40

Convergence of MsFEM approximations for elliptic, non-periodic homogenization problems

Networks and Heterogeneous Media  Volume 7, Issue 3, Pages : 503 - 524, 2012

Patrick Henning - (email)

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41

Compactness of discrete approximate solutions to parabolic PDEs - Application to a turbulence model

Communications on Pure and Applied Analysis  Volume 11, Issue 6, Pages : 2371 - 2391, 2012

T. Gallouët - (email), J.-C. Latché - (email)

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42

Some applications of the Łojasiewicz gradient inequality

Communications on Pure and Applied Analysis  Volume 11, Issue 6, Pages : 2417 - 2427, 2012

Alain Haraux - (email)

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43

Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes

Discrete and Continuous Dynamical Systems  Volume 32, Issue 6, Pages : 1939 - 1964, 2012

Boris Andreianov - (email), Nicolas Seguin - (email)

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44

Sample average approximation method for stochastic complementarity problems with applications to supply chain supernetworks

Journal of Industrial and Management Optimization  Volume 7, Issue 2, Pages : 317 - 345, 2011

Mingzheng Wang - (email), M. Montaz Ali - (email), Guihua Lin - (email)

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45

Augmented Lagrangian method for total variation restoration with non-quadratic fidelity

Inverse Problems and Imaging  Volume 5, Issue 1, Pages : 237 - 261, 2011

Chunlin Wu - (email), Juyong Zhang - (email), Xue-Cheng Tai - (email)

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46

CVaR-based formulation and approximation method for stochastic variational inequalities

Numerical Algebra, Control and Optimization  Volume 1, Issue 1, Pages : 35 - 48, 2011

Xiaojun Chen - (email), Guihua Lin - (email)

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47

On the convergence rate of the inexact Levenberg-Marquardt method

Journal of Industrial and Management Optimization  Volume 7, Issue 1, Pages : 199 - 210, 2011

Jinyan Fan - (email), Jianyu Pan - (email)

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48

An exterior point linear programming method based on inclusive normal cones

Journal of Industrial and Management Optimization  Volume 6, Issue 4, Pages : 825 - 846, 2010

Yanqun Liu - (email)

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49

Convergence and error bound of a D-gap function based Newton-type algorithm for equilibrium problems

Journal of Industrial and Management Optimization  Volume 6, Issue 2, Pages : 333 - 346, 2010

Liping Zhang - (email), Soon-Yi Wu - (email), Shu-Cherng Fang - (email)

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50

Penalty-based SAA method of stochastic nonlinear complementarity problems

Journal of Industrial and Management Optimization  Volume 6, Issue 1, Pages : 241 - 257, 2009

Ming-Zheng Wang - (email), M. Montaz Ali - (email)

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Dimension splitting for time dependent operators

DCDS Supplements  Volume 2009, Issue Special, Pages : 322 - 332, 2009

Eskil Hansen - (email), Alexander Ostermann - (email)

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52

Discrete dynamics of complex bodies with substructural dissipation: Variational integrators and convergence

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 1, Pages : 109 - 130, 2008

Matteo Focardi - (email), Paolo Maria Mariano - (email)

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53

The convergence of the GRP scheme

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 1 - 27, 2008

Matania Ben–Artzi - (email), Joseph Falcovitz - (email), Jiequan Li - (email)

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54

Two numerical schemes for general variational inequalities

Journal of Industrial and Management Optimization  Volume 4, Issue 2, Pages : 393 - 406, 2008

P. Smoczynski - (email), Mohamed Aly Tawhid - (email)

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55

Positive solutions of a third order nonlocal boundary value problem

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 1, Pages : 89 - 97, 2007

John R. Graef - (email), Bo Yang - (email)

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56

The complete classification on a model of two species competition with an inhibitor

Discrete and Continuous Dynamical Systems  Volume 20, Issue 3, Pages : 659 - 672, 2007

Jifa Jiang - (email), Fensidi Tang - (email)

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57

A quadratically convergent method for minimizing a sum of Euclidean norms with linear constraints

Journal of Industrial and Management Optimization  Volume 3, Issue 4, Pages : 655 - 670, 2007

Guanglu Zhou - (email)

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58

A global error bound via the SQP method for constrained optimization problem

Journal of Industrial and Management Optimization  Volume 3, Issue 4, Pages : 775 - 781, 2007

Wen-ling Zhao - (email), Dao-jin Song - (email)

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A smoothing scheme for optimization problems with Max-Min constraints

Journal of Industrial and Management Optimization  Volume 3, Issue 2, Pages : 209 - 222, 2007

X. X. Huang - (email), Xiaoqi Yang - (email), K. L. Teo - (email)

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Convergence of optimal values of quadratic penalty problems for mathematical programs with complementarity constraints

Journal of Industrial and Management Optimization  Volume 2, Issue 3, Pages : 287 - 296, 2006

X. X. Huang - (email), D. Li - (email), Xiaoqi Yang - (email)

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Convergence to V-shaped fronts in curvature flows for spatially non-decaying initial perturbations

Discrete and Continuous Dynamical Systems  Volume 16, Issue 1, Pages : 137 - 156, 2006

Mitsunori Nara - (email), Masaharu Taniguchi - (email)

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62

Asymptotic selection of viscosity equilibria of semilinear evolution equations by the introduction of a slowly vanishing term

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 921 - 938, 2006

Felipe Alvarez - (email), Alexandre Cabot - (email)

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Numerical solution of a nonlinear Abel type Volterra integral equation

Communications on Pure and Applied Analysis  Volume 5, Issue 2, Pages : 277 - 288, 2006

T. Diogo - (email), P. Lima - (email), M. Rebelo - (email)

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Multiple positive solutions to a three point third order boundary value problem

DCDS Supplements  Volume 2005, Issue Special, Pages : 337 - 344, 2005

John R. Graef - (email), Bo Yang - (email)

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Notes on the convergence and applications of surrogate optimization

DCDS Supplements  Volume 2005, Issue Special, Pages : 947 - 956, 2005

Chunlei Zhang - (email), Qin Sheng - (email), Raúl Ordóñez - (email)

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66

Long-time behavior for competition-diffusion systems via viscosity comparison

Discrete and Continuous Dynamical Systems  Volume 13, Issue 3, Pages : 561 - 581, 2005

Lia Bronsard - (email), Seong-A Shim - (email)

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An iterative method for general variational inequalities

Journal of Industrial and Management Optimization  Volume 1, Issue 2, Pages : 201 - 209, 2005

Hongxia Yin - (email)

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The revisit of a projection algorithm with variable steps for variational inequalities

Journal of Industrial and Management Optimization  Volume 1, Issue 2, Pages : 211 - 217, 2005

Qingzhi Yang - (email)

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A class of stochastic mathematical programs with complementarity constraints: reformulations and algorithms

Journal of Industrial and Management Optimization  Volume 1, Issue 1, Pages : 99 - 122, 2005

Gui-Hua Lin - (email), Masao Fukushima - (email)

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Inexact Levenberg-Marquardt method for nonlinear equations

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 1223 - 1232, 2004

Jinyan Fan - (email), Jianyu Pan - (email)

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High order product integration methods for a Volterra integral equation with logarithmic singular kernel

Communications on Pure and Applied Analysis  Volume 3, Issue 2, Pages : 217 - 235, 2004

T. Diogo - (email), N. B. Franco - (email), P. Lima - (email)

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Long-time behaviour and convergence towards equilibria for a conserved phase field model

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 239 - 252, 2003

Eduard Feireisl - (email), Françoise Issard-Roch - (email), Hana Petzeltová - (email)

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