点击选择搜索分类
首页 - 国学/古籍- 正文
☆☆☆☆☆
||
Mark,H.Holmes 著
出版社: 科学出版社 ISBN:9787030313874 版次:1 商品编码:11902958 包装:精装 丛书名: 国外数学名著系列 外文名称:Introduction to Numerical Methods in Differential Equations 开本:16开 出版时间:2011-06-01 用纸:胶版纸 页数:234
1 Initial Value Problems
1.1 Introduction
1.1.1 Examples of IVPs
1.2 Methods Obtained from Numerical Differentiation.
1.2.1 The Five Steps
1.2.2 Additional Difference Methods
1.3 Methods Obtained from Numerical Quadrature
1.4 Runge——Kutta Methods
1.5 Extensions and Ghost Points
1.6 Conservative Methods
1.6.1 Velocity Verlet
1.6.2 Symplectic Methods
1.7 Next Steps
Exercises
2 Two-Point Boundary Value Problems
2.1 Introduction
2.1.1 Birds on a Wire
2.1.2 Chemical Kinetics
2.2 Derivative Approximation Methods
2.2.1 Matrix Problem
2.2.2 Tridiagonal Matrices
2.2.3 Matrix Problem Revisited
2.2.4 Error Analysis
2.2.5 Extensions
2.3 Residual Methods
2.3.1 Basis Functions
2.3.2 Residual
2.4 Shooting Methods
2.5 Next Steps
Exercises
3 Diffusion Problems
3.1 Introduction
3.1.1 Heat Equation
3.2 Derivative Approximation Methods
3.2.1 Implicit Method
3.2.2 Theta Method
3.3 Methods Obtained from Numerical Quadrature
3.3.1 Crank-Nicolson Method
3.3.2 L-Stability
3.4 Methods of Lines
3.5 Collocation
3.6 Next Steps
Exercises
4 Advection Equation
4.1 Introduction
4.1.1 Method of Characteristics
4.1.2 Solution Properties
4.1.3 Boundary Conditions
4.2 First-Order Methods
4.2.1 Upwind Scheme
4.2.2 Downwind Scheme
4.2.3 blumericul Domu'm of Dependence
4.2.4 Stability
4.3 Improvements
4.3.1 Lax-Wendroff Method
4.3.2 Monotone Methods
4.3.3 Upwind Revisited
4.4 Implicit Methods
Exercises
5 Numerical Wave Propagation
5.1 Introduction
5.1.1 Solution Methods
5.1.2 Plane Wave Solutions
5.2 Explicit Method
5.2.1 Diagnostics
5.2.2 Numerical Experiments
5.3 Numerical Plane Waves
5.3.1 Numerical Group Velocity
5.4 Next Steps
Exercises
6 Elliptic Problems
6.1 Introduction
6.1.1 Solutions
6.1.2 Properties of the Solution
6.2 Finite Difference Approximation
6.2.1 Building the Matrix
6.2.2 Positive Definite Matrices
6.3 Descent Methods
6.3.1 Steepest Descent Method
6.3.2 Conjugate Gradient Method
6.4 Numerical Solution of Laplace's Equation
6.5 Preconditioned Conjugate Gradient Method
6.6 Next Steps
Exercises
A Appendix
A.1 Order Symbols
A.2 Taylor's Theorem
A.3 Round-Off Error
A.3.1 Fhnction Evaluation
A.3.2 Numerical Differentiation
A.4 Floating-Point Numbers
References
Index
国外数学名著系列(影印版)74:微分方程数值方法引论 [Introduction to Numerical Methods in Differential Equations] 电子书 下载 mobi epub pdf txt
国外数学名著系列(影印版)74:微分方程数值方法引论 [Introduction to Numerical Methods in Differential Equations]-so88
国外数学名著系列(影印版)74:微分方程数值方法引论 [Introduction to Numerical Methods in Differential Equations] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
Mark,H.Holmes 著
出版社: 科学出版社 ISBN:9787030313874 版次:1 商品编码:11902958 包装:精装 丛书名: 国外数学名著系列 外文名称:Introduction to Numerical Methods in Differential Equations 开本:16开 出版时间:2011-06-01 用纸:胶版纸 页数:234
内容简介
This book shows how to derive,test and analyze numerical methods for solving differential equations,including both ordinary and partial differential equations.The objective is that students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. Includes an extensive collection of exercises,which develop both the analytical and computational aspects of the material. In addition to more than 100 illustrations,the book includes a large collection of supplemental material: exercise sets,MATLAB computer codes for both student and instructor,lecture slides and movies.内页插图
目录
Preface1 Initial Value Problems
1.1 Introduction
1.1.1 Examples of IVPs
1.2 Methods Obtained from Numerical Differentiation.
1.2.1 The Five Steps
1.2.2 Additional Difference Methods
1.3 Methods Obtained from Numerical Quadrature
1.4 Runge——Kutta Methods
1.5 Extensions and Ghost Points
1.6 Conservative Methods
1.6.1 Velocity Verlet
1.6.2 Symplectic Methods
1.7 Next Steps
Exercises
2 Two-Point Boundary Value Problems
2.1 Introduction
2.1.1 Birds on a Wire
2.1.2 Chemical Kinetics
2.2 Derivative Approximation Methods
2.2.1 Matrix Problem
2.2.2 Tridiagonal Matrices
2.2.3 Matrix Problem Revisited
2.2.4 Error Analysis
2.2.5 Extensions
2.3 Residual Methods
2.3.1 Basis Functions
2.3.2 Residual
2.4 Shooting Methods
2.5 Next Steps
Exercises
3 Diffusion Problems
3.1 Introduction
3.1.1 Heat Equation
3.2 Derivative Approximation Methods
3.2.1 Implicit Method
3.2.2 Theta Method
3.3 Methods Obtained from Numerical Quadrature
3.3.1 Crank-Nicolson Method
3.3.2 L-Stability
3.4 Methods of Lines
3.5 Collocation
3.6 Next Steps
Exercises
4 Advection Equation
4.1 Introduction
4.1.1 Method of Characteristics
4.1.2 Solution Properties
4.1.3 Boundary Conditions
4.2 First-Order Methods
4.2.1 Upwind Scheme
4.2.2 Downwind Scheme
4.2.3 blumericul Domu'm of Dependence
4.2.4 Stability
4.3 Improvements
4.3.1 Lax-Wendroff Method
4.3.2 Monotone Methods
4.3.3 Upwind Revisited
4.4 Implicit Methods
Exercises
5 Numerical Wave Propagation
5.1 Introduction
5.1.1 Solution Methods
5.1.2 Plane Wave Solutions
5.2 Explicit Method
5.2.1 Diagnostics
5.2.2 Numerical Experiments
5.3 Numerical Plane Waves
5.3.1 Numerical Group Velocity
5.4 Next Steps
Exercises
6 Elliptic Problems
6.1 Introduction
6.1.1 Solutions
6.1.2 Properties of the Solution
6.2 Finite Difference Approximation
6.2.1 Building the Matrix
6.2.2 Positive Definite Matrices
6.3 Descent Methods
6.3.1 Steepest Descent Method
6.3.2 Conjugate Gradient Method
6.4 Numerical Solution of Laplace's Equation
6.5 Preconditioned Conjugate Gradient Method
6.6 Next Steps
Exercises
A Appendix
A.1 Order Symbols
A.2 Taylor's Theorem
A.3 Round-Off Error
A.3.1 Fhnction Evaluation
A.3.2 Numerical Differentiation
A.4 Floating-Point Numbers
References
Index
前言/序言
国外数学名著系列(影印版)74:微分方程数值方法引论 [Introduction to Numerical Methods in Differential Equations] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 铠甲勇士捕将涂色-2
- 全国中等职业技术学校电工类专业通用教材:维修电工技能训练(第5版)
- 彩图武器百科
- 【DF正版包邮】爱的艺术(美)艾·弗洛姆 当代爱的艺术理论专著 两性情感婚恋书籍 励志 哲学 心理学
- 小秦岭自然保护区森林植物多样性及保护 9787534986840 袁志良 骆雪峰 韩保健
- 机械制造工艺 基于Tecnomatix平台
- 昆虫记(插图版) 9787538869576 (法)法布尔-RT
- 家具设计:制图·结构与形式
- {RT}太阳系的奇迹-(英)考克斯,(英)科恩,齐锐,万昊宜 人民邮电出版社 978711
- 心动力、新起点--大学新生心理适应
- 来自基因组的一些数学
- 【凤凰新华书店旗舰店正版】2017寒暑假推荐书籍:宝塔 秦文君作品 儿童早教故事课外畅销图书籍排行榜
- 火箭气动流场特性分析
- 心理学的故事:心理学就是这么有趣
- BF-蝴蝶-中国野生动物生态保护.国家动物博物馆精品研究-总 主 郑光美 李志毅 黎