周叔子论文选 本书特色

周叔子教授在国内外学术刊物上所发表的主要论文选编，周叔子教授学术成果精选。包括发表于SIAMJournalonNumericalAnalysis国际著名计算数学刊物的论文，周叔子教授在微分方程和变分不等式等问题的有限元方法，多网格方法以及区域分解法等方面。*化问题和非线性方程组等问题数值解法的注意研究成果，所有文均已在国内外学术期刊上发表.

周叔子论文选 内容简介

周叔子教授在靠前外学术刊物上所发表的主要论文选编，周叔子教授学术成果精选。包括发表于SIAMJournalonNumericalAnalysis靠前有名计算数学刊物的论文，周叔子教授在微分方程和变分不等式等问题的有限元方法，多网格方法以及区域分解法等方面。很优化问题和非线性方程组等问题数值解法的注意研究成果，所有文均已在靠前外学术期刊上发表.

周叔子论文选 目录

目录
序
**篇 微分方程数值计算理论与方法
The Linear Finite Element Method for a Two-Dimensional Singular Boundary Value Problem 3
The Solution of Free Boundary Problem for an Axisymmetric Partially Penetrating Well 14
Perturbation for Elliptic Variational Inequalities 28
On Multigrid Methods for Parabolic Problems 39
Nonlinear Stability and D-convergence of Runge-Kutta Methods for Delay Differential Equations 53
On an Axially Symmetric Elastic-Plastic Torsion Problem 66
On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems 81
A Domain Decomposition Method for a Kind of Optimization Problems.99
Analysis of Generalized Schwarz Algorithms for Solving Obstacle Problems with T-monotone Operator 112
A New Minimization Protocol for Solving Nonlinear Poisson-Boltzmann Mortar Finite Element Equation 128
Mathematical Analysis of EEP Method for One-Dimensional Finite Element Postprocessing 147
A New Iterative Method for Discrete HJB Equations 153
Domain Decomposition Method for a System of Quasivariational Inequalities 161
Relaxation Lax-Friedrichs Sweeping Scheme for Static Hamilton-Jacobi Equations 170
A Uniformly Convergent Continuous-Discontinuous Galerkin Method for Singularly Perturbed Problems of Convection-DifFusion Type 188
Uniform Convergence of a Coupled Method for Convection-DifFusion Problems in 2-D Shishkin Mesh 202
第二篇 *优化问题数值算法
A Direct Method for the Linear Complementarity Problem 221
The Kantorovich Theorem for Nonlinear Complementarity Problems226
A Trust Region Method for a Semismooth Reformulation to Variational Inequality Problems 231
Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations 246
A New Exceptional Family of Elements for a Variational Inequality Problem on Hilbert Space 260
A Smoothing Projected Newton-Type Method for Semismooth Equations with Bound Constraints 267
Variational-like Inequalities with Relaxed n-a Pseudo-Monotone Mappings in Banach Spaces 286
非线性互补约束优化问题的可行性条件 294
第三篇 指导的部分学生论文
Translating Solitons of Mean Curvature Flow of Noncompact Spacelike Hypersurfaces in Minkowski Space 303
自由边界问题的非协调有限元逼近及其离散问题迭代解 316
发表文章目录 328
后记 335

自然科学 数学 数学理论

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