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周叔子論文選 版權信息
- ISBN：9787030616241
- 條形碼：9787030616241 ; 978-7-03-061624-1
- 裝幀：一般膠版紙
- 冊數：暫無
- 重量：暫無
- 所屬分類：>>
周叔子論文選 本書特色
周叔子教授在國內外學術刊物上所發表的主要論文選編，周叔子教授學術成果精選。包括發表于SIAMJournalonNumericalAnalysis國際著名計算數學刊物的論文，周叔子教授在微分方程和變分不等式等問題的有限元方法，多網格方法以及區域分解法等方面。*化問題和非線性方程組等問題數值解法的注意研究成果，所有文均已在國內外學術期刊上發表.
周叔子論文選 內容簡介
周叔子教授在靠前外學術刊物上所發表的主要論文選編，周叔子教授學術成果精選。包括發表于SIAMJournalonNumericalAnalysis靠前有名計算數學刊物的論文，周叔子教授在微分方程和變分不等式等問題的有限元方法，多網格方法以及區域分解法等方面。很優化問題和非線性方程組等問題數值解法的注意研究成果，所有文均已在靠前外學術期刊上發表.
周叔子論文選 目錄
目錄
序
**篇 微分方程數值計算理論與方法
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 *優化問題數值算法
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調有限元逼近及其離散問題迭代解 316
發表文章目錄 328
后記 335
序
**篇 微分方程數值計算理論與方法
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 *優化問題數值算法
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調有限元逼近及其離散問題迭代解 316
發表文章目錄 328
后記 335
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