國外數學名著係列(影印版)74:微分方程數值方法引論 [Introduction to Numerical Methods in Differential Equations] pdf epub mobi txt 電子書 下載 2024

圖書介紹


國外數學名著係列(影印版)74:微分方程數值方法引論 [Introduction to Numerical Methods in Differential Equations]

簡體網頁||繁體網頁
Mark,H.Holmes 著



點擊這裡下載
    

想要找書就要到 靜流書站
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

發表於2024-12-15


類似圖書 點擊查看全場最低價

齣版社: 科學齣版社
ISBN:9787030313874
版次:1
商品編碼:11902958
包裝:精裝
叢書名: 國外數學名著係列
外文名稱:Introduction to Numerical Methods in Differential Equations
開本:16開
齣版時間:2011-06-01
用紙:膠版紙
頁數:234

國外數學名著係列(影印版)74:微分方程數值方法引論 [Introduction to Numerical Methods in Differential Equations] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

相關圖書



國外數學名著係列(影印版)74:微分方程數值方法引論 [Introduction to Numerical Methods in Differential Equations] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

國外數學名著係列(影印版)74:微分方程數值方法引論 [Introduction to Numerical Methods in Differential Equations] pdf epub mobi txt 電子書 下載



具體描述

內容簡介

  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.

內頁插圖

目錄

Preface

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

前言/序言


國外數學名著係列(影印版)74:微分方程數值方法引論 [Introduction to Numerical Methods in Differential Equations] 下載 mobi epub pdf txt 電子書

國外數學名著係列(影印版)74:微分方程數值方法引論 [Introduction to Numerical Methods in Differential Equations] pdf epub mobi txt 電子書 下載
想要找書就要到 靜流書站
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

用戶評價

評分

評分

評分

評分

評分

評分

評分

評分

評分

類似圖書 點擊查看全場最低價

國外數學名著係列(影印版)74:微分方程數值方法引論 [Introduction to Numerical Methods in Differential Equations] pdf epub mobi txt 電子書 下載


分享鏈接


去京東購買 去京東購買
去淘寶購買 去淘寶購買
去噹噹購買 去噹噹購買
去拼多多購買 去拼多多購買


國外數學名著係列(影印版)74:微分方程數值方法引論 [Introduction to Numerical Methods in Differential Equations] bar code 下載
扫码下載





相關圖書




本站所有內容均為互聯網搜索引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

友情鏈接

© 2024 book.coffeedeals.club All Rights Reserved. 靜流書站 版權所有