目錄 序 第一篇 微分方程數(shù)值計算理論與方法 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 最優(yōu)化問題數(shù)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 非線性互補約束優(yōu)化問題的可行性條件 294 第三篇 指導的部分學生論文 Translating Solitons of Mean Curvature Flow of Noncompact Spacelike Hypersurfaces in Minkowski Space 303 自由邊界問題的非協(xié)調(diào)有限元逼近及其離散問題迭代解 316 發(fā)表文章目錄 328 后記 335
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