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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

Augmented Lagrangian method for an Euler's elastica based segmentation model that promotes convex contours

Inverse Problems and Imaging  Volume 11, Issue 1, Pages : 1 - 23, 2017

Egil Bae - (email), Xue-Cheng Tai - (email), Wei Zhu - (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 new computational strategy for optimal control problem with a cost on changing control

Numerical Algebra, Control and Optimization  Volume 6, Issue 3, Pages : 339 - 364, 2016

Yujing Wang - (email), Changjun Yu - (email), Kok Lay Teo - (email)

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6

Image segmentation based on the hybrid total variation model and the K-means clustering strategy

Inverse Problems and Imaging  Volume 10, Issue 3, Pages : 807 - 828, 2016

Baoli Shi - (email), Zhi-Feng Pang - (email), Jing Xu - (email)

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7

The topological gradient method for semi-linear problems and application to edge detection and noise removal

Inverse Problems and Imaging  Volume 10, Issue 1, Pages : 51 - 86, 2016

Audric Drogoul - (email), Gilles Aubert - (email)

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8

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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9

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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10

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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11

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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12

A reweighted $l^2$ method for image restoration with Poisson and mixed Poisson-Gaussian noise

Inverse Problems and Imaging  Volume 9, Issue 3, Pages : 875 - 894, 2015

Jia Li - (email), Zuowei Shen - (email), Rujie Yin - (email), Xiaoqun Zhang - (email)

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13

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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14

High-order total variation regularization approach for axially symmetric object tomography from a single radiograph

Inverse Problems and Imaging  Volume 9, Issue 1, Pages : 55 - 77, 2015

Raymond H. Chan - (email), Haixia Liang - (email), Suhua Wei - (email), Mila Nikolova - (email), Xue-Cheng Tai - (email)

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15

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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16

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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17

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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18

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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19

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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20

A stable method solving the total variation dictionary model with $L^\infty$ constraints

Inverse Problems and Imaging  Volume 8, Issue 2, Pages : 507 - 535, 2014

Liyan Ma - (email), Lionel Moisan - (email), Jian Yu - (email), Tieyong Zeng - (email)

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21

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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22

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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23

Solving inverse source problems by the Orthogonal Solution and Kernel Correction Algorithm (OSKCA) with applications in fluorescence tomography

Inverse Problems and Imaging  Volume 8, Issue 1, Pages : 79 - 102, 2014

Shui-Nee Chow - (email), Ke Yin - (email), Hao-Min Zhou - (email), Ali Behrooz - (email)

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24

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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25

Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints

Journal of Industrial and Management Optimization  Volume 10, Issue 3, Pages : 743 - 759, 2013

Yuan Shen - (email), Wenxing Zhang - (email), Bingsheng He - (email)

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26

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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27

Augmented Lagrangian method for a mean curvature based image denoising model

Inverse Problems and Imaging  Volume 7, Issue 4, Pages : 1409 - 1432, 2013

Wei Zhu - (email), Xue-Cheng Tai - (email), Tony Chan - (email)

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28

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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29

A new parallel splitting descent method for structured variational inequalities

Journal of Industrial and Management Optimization  Volume 10, Issue 2, Pages : 461 - 476, 2013

Kai Wang - (email), Lingling Xu - (email), Deren Han - (email)

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30

Fast total variation wavelet inpainting via approximated primal-dual hybrid gradient algorithm

Inverse Problems and Imaging  Volume 7, Issue 3, Pages : 1031 - 1050, 2013

Xiaojing Ye - (email), Haomin Zhou - (email)

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31

A fast modified Newton's method for curvature based denoising of 1D signals

Inverse Problems and Imaging  Volume 7, Issue 3, Pages : 1075 - 1097, 2013

Andy M. Yip - (email), Wei Zhu - (email)

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32

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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33

ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing

Discrete and Continuous Dynamical Systems  Volume 34, Issue 3, Pages : 931 - 957, 2013

Luca Calatroni - (email), Bertram Düring - (email), Carola-Bibiane Schönlieb - (email)

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34

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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35

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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36

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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37

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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38

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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39

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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40

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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41

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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42

Some proximal methods for Poisson intensity CBCT and PET

Inverse Problems and Imaging  Volume 6, Issue 4, Pages : 565 - 598, 2012

Sandrine Anthoine - (email), Jean-François Aujol - (email), Yannick Boursier - (email), Clothilde Mélot - (email)

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43

A TV Bregman iterative model of Retinex theory

Inverse Problems and Imaging  Volume 6, Issue 4, Pages : 697 - 708, 2012

Wenye Ma - (email), Stanley Osher - (email)

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44

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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45

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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46

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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47

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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48

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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49

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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50

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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51

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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52

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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53

On methods for solving nonlinear semidefinite optimization problems

Numerical Algebra, Control and Optimization  Volume 1, Issue 1, Pages : 1 - 14, 2011

Jie Sun - (email)

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54

Recent advances in numerical methods for nonlinear equations and nonlinear least squares

Numerical Algebra, Control and Optimization  Volume 1, Issue 1, Pages : 15 - 34, 2011

Ya-Xiang Yuan - (email)

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55

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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56

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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57

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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58

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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59

Multiscale image representation using novel integro-differential equations

Inverse Problems and Imaging  Volume 3, Issue 4, Pages : 693 - 710, 2009

Eitan Tadmor - (email), Prashant Athavale - (email)

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60

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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61

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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A Numerical Method for a Non-Smooth Advection-Diffusion Problem Arising in Sand Mechanics

Communications on Pure and Applied Analysis  Volume 8, Issue 1, Pages : 161 - 178, 2008

Alexandre Caboussat - (email), Roland Glowinski - (email)

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63

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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64

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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65

An efficient computational method for total variation-penalized Poisson likelihood estimation

Inverse Problems and Imaging  Volume 2, Issue 2, Pages : 167 - 185, 2008

Johnathan M. Bardsley - (email)

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66

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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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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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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Quantum TV and applications in image processing

Inverse Problems and Imaging  Volume 1, Issue 3, Pages : 557 - 575, 2007

Jianhong (Jackie) Shen - (email), Sung Ha Kang - (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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71

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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72

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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73

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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74

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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75

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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76

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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77

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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78

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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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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81

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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