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MATLAB programming for numerical analysis
Perez Lopez, Cesar.
اطلاعات کتابشناختی
MATLAB programming for numerical analysis
Author :
Perez Lopez, Cesar.
Publisher :
Apress,
Pub. Year :
2014
Subjects :
Numerical analysis -- Data processing.
Call Number :
QA 297 .P48 2014
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Contents at a Glance
(3)
Contents
(234)
About the Author
(237)
Chapter 1: The MATLAB Environment
(4)
Starting MATLAB on Windows. The MATLAB working environment
(4)
The MATLAB Command Window
(5)
Escape and exit to DOS environment commands
(12)
Preferences for the Command Window
(13)
The Command History window
(20)
The Launch Pad window
(21)
The Current Directory window
(22)
The help browser
(25)
The Workspace window
(25)
The Editor and Debugger for M-files
(27)
Help in MATLAB
(30)
Chapter 2: MATLAB Language: Variables, Numbers, Operators and Functions
(32)
Variables
(32)
Vector variables
(33)
Matrix variables
(36)
Character variables
(41)
Numbers
(44)
Integers
(47)
Functions of integers and divisibility
(48)
Alternative bases
(49)
Real numbers
(50)
Functions with real arguments
(52)
Trigonometric functions
(52)
Hyperbolic functions
(52)
Exponential and logarithmic functions
(53)
Numeric variable-specific functions
(53)
Complex numbers
(55)
Functions with complex arguments
(55)
Trigonometric functions
(55)
Hyperbolic functions
(56)
Exponential and logarithmic functions
(56)
Specific functions for the real and imaginary part
(56)
Specific functions for complex numbers
(56)
Elementary functions that support complex vector arguments
(57)
Elementary functions that support complex matrix arguments
(60)
Random numbers
(63)
Operators
(65)
Arithmetic operators
(65)
Relational operators
(68)
Logical operators
(69)
Logical functions
(69)
Chapter 3: Matlab Language: Development Environment Features
(86)
General Purpose Commands
(86)
Commands that Handle Variables in the Workspace
(86)
Commands that Work with Files in the Operational Environment
(90)
Commands that Handle Functions
(93)
Commands that Control the Command Window
(99)
Start and Exit Commands
(100)
File Input/Output Commands
(100)
Opening and Closing Files
(102)
Reading and Writing Binary Files
(103)
Reading and Writing Formatted ASCII Text Files
(107)
Control Over the File Position
(110)
Exporting and Importing Data to Lotus 123 and Delimited ASCII String and Graphic Formats
(112)
Sound Processing Functions
(118)
Chapter 4: MATLAB Language: M-Files, Scripts, Flow Control and Numerical Analysis Functions
(124)
MATLAB and Programming
(124)
The Text Editor
(124)
Scripts
(128)
Functions and M-files. Eval and Feval
(131)
Local and Global Variables
(134)
Data Types
(136)
Flow Control: FOR Loops, WHILE and IF ELSEIF
(137)
FOR Loops
(137)
WHILE Loops
(138)
IF ELSEIF ELSE END Loops
(139)
Switch and Case
(141)
Continue
(142)
Break
(142)
Try... Catch
(144)
Return
(144)
Subfunctions
(145)
Commands in M-files
(146)
Functions Relating to Arrays of Cells
(147)
Multidimensional Array Functions
(150)
Numerical Analysis Methods in MATLAB
(154)
Zeros of Functions and Optimization
(154)
Numerical Integration
(156)
Numerical Differentiation
(158)
Approximate Solution of Differential Equations
(160)
Ordinary Differential Equations with Initial Values
(160)
Ordinary Differential Equations with Boundary Conditions
(164)
Partial Differential Equations
(167)
Chapter 5: Numerical Algorithms: Equations, Derivatives and Integrals
(194)
Solving Non-Linear Equations
(194)
The Fixed Point Method for Solving x = g (x)
(194)
Newton’s Method for Solving the Equation f (x) =0
(197)
Schröder’s Method for Solving the Equation f (x) =0
(199)
Systems of Non-Linear Equations
(199)
The Seidel Method
(200)
The Newton–Raphson Method
(200)
Interpolation Methods
(203)
Lagrange Polynomial Interpolation
(203)
Newton Polynomial Interpolation
(205)
Numerical Derivation Methods
(207)
Numerical Derivation via Limits
(207)
Richardson’s Extrapolation Method
(210)
Derivation Using Interpolation (n + 1 nodes)
(211)
Numerical Integration Methods
(213)
The Trapezium Method
(213)
Simpson’s Method
(216)
Ordinary Differential Equations
(218)
Euler’s Method
(218)
Heun’s Method
(219)
The Taylor Series Method
(220)