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19 ديسمبر 2021
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كورس المرشد للطرق الرقمية باستخدام برنامج الماتلاب
A Beginner’s Guide to Numerical Methods in MATLAB Course
01 Introduction
02 Machine Representation of Numbers
03 Basic Concepts
04 One-Point Iterative Methods
05 Two-Point Iterative Methods
06 Interpolation and Curve Fitting
07 Differentiation
01 Introduction \ 001 Introduction
02 Machine Representation of Numbers \ 002 Base 2 Representation
02 Machine Representation of Numbers \ 003 Floating-Point Representation
02 Machine Representation of Numbers \ 004 Machine Epsilon
02 Machine Representation of Numbers \ 005 Round-Off and Truncation Errors
03 Basic Concepts \ 006 Function Continuity
03 Basic Concepts \ 007 Rolle’s Theorem
03 Basic Concepts \ 008 First Mean Value Theorem
03 Basic Concepts \ 009 Bolzano’s Theorem
04 One-Point Iterative Methods \ 010 Introduction
04 One-Point Iterative Methods \ 011 Convergence
04 One-Point Iterative Methods \ 012 Acceleration of Convergence
04 One-Point Iterative Methods \ 013 Order of Convergence
04 One-Point Iterative Methods \ 014 Newton’s Method (a.k.a. Newton-Raphson)
04 One-Point Iterative Methods \ 015 Multidimensional Extensions of Newton’s Method
04 One-Point Iterative Methods \ 016 Approximate Newton’s Method
04 One-Point Iterative Methods \ 017 Horner’s Algorithm for Polynomial Equations
05 Two-Point Iterative Methods \ 018 Bisection Method
05 Two-Point Iterative Methods \ 019 Regula Falsi Method
05 Two-Point Iterative Methods \ 020 Secant Method
06 Interpolation and Curve Fitting \ 021 Polynomial Interpolation
06 Interpolation and Curve Fitting \ 022 Newton Basis
06 Interpolation and Curve Fitting \ 023 Divided Differences
06 Interpolation and Curve Fitting \ 024 Divided Differences_ Examples
06 Interpolation and Curve Fitting \ 025 Forward Differences
06 Interpolation and Curve Fitting \ 026 Lagrangian Interpolation
06 Interpolation and Curve Fitting \ 027 Neville’s Algorithm
07 Differentiation \ 028 First Derivative Approximations
07 Differentiation \ 029 Second Derivative Approximations
07 Differentiation \ 030 Error Terms by Taylor Series Expansion
07 Differentiation \ 031 Richardson Interpolation
08 Integration (Quadrature) \ 032 Introduction
08 Integration (Quadrature) \ 033 Trapezium Rule
08 Integration (Quadrature) \ 034 Midpoint Rule
08 Integration (Quadrature) \ 035 Gauss-Hermite
08 Integration (Quadrature) \ 036 Gauss-Laguerre

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