Computer Oriented Numerical Methods
Master the art of numerical computation with comprehensive tutorials and practical examples
🚀 Getting Started
Introduction to Computer Oriented Numerical Techniques
Fundamental concepts and importance of numerical methods
Number Representation and Arithmetic Operations in Computer Systems
How computers handle numbers and arithmetic
Errors in Numerical Methods
Understanding and managing computational errors
Types of Equations and Methods for Solving Them
Classification of equations and solution approaches
🔍 Root-Finding Methods
Techniques for finding zeros of functions with various convergence properties
The Bisection Method: A Root-Finding Algorithm
Reliable interval-based root finding method
Secant Method for Numerical Solutions
Derivative-free iterative root finding
Regula Falsi Method for Numerical Solutions
False position method for root approximation
Newton-Raphson Method for Numerical Solutions
Fast-converging tangent-based method
Root-Finding Numerical Techniques Comparison
Comparative analysis of root-finding methods
📈 Interpolation Techniques
Methods for estimating values between known data points
Interpolation and Operators in Numerical Analysis
Fundamentals of interpolation techniques
Interpolation: Lagrange's Method
Polynomial interpolation using Lagrange form
Newton's Forward Difference Formula
Forward difference interpolation method
Newton's Backward Difference Formula
Backward difference interpolation approach
Newton's Divide Difference Formula
Divided difference interpolation technique
Gauss's Forward Interpolation Formula
Gauss forward interpolation method
Gauss's Backward Interpolation Formula
Gauss backward interpolation approach
Stirling's Interpolation Formula
Stirling's central difference formula
🔢 Linear System Solutions
Direct and iterative methods for solving systems of linear equations
Gauss Elimination Method
Systematic solution of linear equation systems
Gauss-Jordan Method
Enhanced elimination with diagonal form
Jacobi Method
Iterative solution for linear systems
Gauss-Seidel Method
Improved iterative approach
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