周叔子论文选
作者： 湖南大学数学学院编
出版时间： 2019年版
内容简介
《周叔子论文选》汇编了周叔子教授的部分重要学术成果，包括他在微分方程、变分不等式及较优化等领域中的理论和数值算法方面的主要成果。内容基本反映了周叔子教授在计算数学方面研究成果的概貌。此外，还选取了他指导过的学生的几篇论文，最后附上周叔子教授发表文章的目录。
目录
目录
序
第一篇 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 最优化问题数值算法
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
