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by Hu, Y.H and Song, W
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 374, Issue 1, pp. 118 - 132
In this paper, we introduce the notion of a weak sharp set of solutions to a variational inequality problem (VIP) in a reflexive, strictly convex and smooth... 
Error bound | Proximal point algorithms | Finite convergence | Weakly sharp | Variational inequalities | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE | PROXIMAL POINT ALGORITHM | Algorithms
Journal Article
Optimization Letters, ISSN 1862-4472, 3/2016, Volume 10, Issue 3, pp. 563 - 576
Our aim is to study weakly sharp solutions of a variational inequality in terms of its primal gap function $$g$$ g . We discuss sufficient conditions for the... 
Gap functions | Computational Intelligence | Variational inequality | 49J52 | 90C33 | Numerical and Computational Physics | Error bound | Mathematics | Operation Research/Decision Theory | Convergence of algorithm | Weakly sharp solution | Optimization | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EQUILIBRIA
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2011, Volume 235, Issue 14, pp. 4283 - 4301
Journal Article
Optimization, ISSN 0233-1934, 02/2018, Volume 67, Issue 2, pp. 329 - 340
Journal Article
Journal of Computational Analysis and Applications, ISSN 1521-1398, 2018, Volume 25, Issue 4, pp. 738 - 750
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 12/2018, Volume 179, Issue 3, pp. 962 - 982
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2016, Volume 325, pp. 338 - 357
We present Gauss–Jacobi quadrature rules in terms of hypergeometric functions for the discretization of weakly singular, strongly singular, hypersingular, and... 
Nyström method | Gauss–Jacobi quadrature rules | Nearly singular integrals | Weakly singular integrals | Hypersingular integrals | Strongly singular integrals | Analysis | Methods | Electromagnetism
Journal Article
by Liu, YN and Wu, ZL
PACIFIC JOURNAL OF OPTIMIZATION, ISSN 1348-9151, 01/2016, Volume 12, Issue 1, pp. 207 - 220
We discuss relations between the Gateaux differentiability of two gap functions of a variational inequality problem and its dual problem and present sufficient... 
MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | gap functions | error bound | EQUILIBRIUM | variational inequality | locally Lipschitz property | Gateaux differentiability | GAP FUNCTION | weakly sharp solution
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2019, Volume 267, Issue 9, pp. 5165 - 5201
In this paper we consider the wave equations with power type nonlinearities including time-derivatives of unknown functions and their weakly coupled systems.... 
Weakly coupled system | Upper bounds of lifespan | Blowup | Test function methods | Semilinear wave equations | LIFE-SPAN | NONEXISTENCE | GLOBAL EXISTENCE | CAUCHY-PROBLEM | MATHEMATICS | U=/U/P | CRITICAL EXPONENT | NONLINEAR-SYSTEMS | LARGE TIME BEHAVIOR | CLASSICAL-SOLUTIONS
Journal Article
混相流, ISSN 0914-2843, 2018, Volume 32, Issue 4, pp. 416 - 423
Incompressible flows have much lower flow speeds to compare with the sound speed and called low Mach number flows. So far, we have simulated incompressible... 
AMR method | Gas-liquid two-phase flow | Conservative phase-field model | Weakly compressible flow computation | Fully-explicit solver
Journal Article
Electrochimica Acta, ISSN 0013-4686, 2010, Volume 55, Issue 3, pp. 721 - 728
Considering modern trends of laboratory automation in electroanalysis, the development of adaptive methods for automatic simulation of electrochemical... 
Cyclic voltammetry | Laboratory automation | Computational electrochemistry | Digital simulation | Second kind Volterra integral equations | Weakly singular kernels | ELECTROCHEMISTRY | NUMERICAL-SOLUTION | STATIONARY ELECTRODE POLAROGRAPHY | VOLTAMMETRY
Journal Article
Chinese Annals of Mathematics. Series B, ISSN 0252-9599, 2003, Volume 24, Issue 4, pp. 457 - 468
This paper considers the pointwise estimate of the solutions to Cauchy problem for quasilinear hyperbolic systems, which bases on the existence of the... 
Matching condition | Weakly linearly degenerate | Normalize translation and normalize coordinate | MATHEMATICS | WAVES | normalize translation and normalize coordinate | weakly linearly degenerate | SINGULARITIES | GLOBAL CLASSICAL-SOLUTIONS | matching condition | DECAY INITIAL DATA
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 6/2018, Volume 15, Issue 3, pp. 1 - 14
We analyze the stability of convolution quadrature methods for weakly singular Volterra integral equations with respect to a linear test equation. We prove... 
Convolution quadrature | 65L06 | Primary 34A08 | Weakly singular integral equations | Mathematics, general | Mathematics | Secondary 65R20 | Numerical stability | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 8/2018, Volume 229, Issue 2, pp. 709 - 788
We study boundary regularity of maps from two-dimensional domains into manifolds which are critical with respect to a generic conformally invariant variational... 
Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | MATHEMATICS, APPLIED | MECHANICS | MEAN-CURVATURE | HARDY-SPACES | 1/2-HARMONIC MAPS | COMMUTATORS | CONSERVATION-LAWS | WEAKLY HARMONIC MAPS | COMPACTNESS | SURFACES
Journal Article
Neurocomputing, ISSN 0925-2312, 04/2019, Volume 338, pp. 321 - 348
•Extensive survey on deep neural networks for semantic segmentation.•110 neural network models are categorized into 10 different concepts.•Review of... 
Deep learning | Semantic segmentation | Recurrent neural network | Semi-weakly supervised networks | SALIENT OBJECT DETECTION | NEURAL-NETWORKS | DATABASE | VIDEO | SCENES | FRAMEWORK | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Surveys | Machine vision | Neural networks | Driverless cars | Methods | Robotics
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2009, Volume 41, Issue 3, pp. 1190 - 1205
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 6/2012, Volume 153, Issue 3, pp. 619 - 632
Journal Article