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Lecture
Bisection Method: Solving Non-linear Equations
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Taylor Series and Secant Method: Numerical Analysis Techniques
Discusses the Taylor series and secant method, focusing on their applications in numerical analysis and root-finding techniques.
Nonlinear Equations: Methods and Applications
Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.
Runge Kutta and Multistep Methods
Explores Runge Kutta and multistep methods for solving ODEs, including Backward Euler and Crank-Nicolson.
Bisection Method, Newton Method
Covers the Bisection Method and Newton Method for solving nonlinear equations using interval splitting and tangent lines.
Numerical Analysis: Nonlinear Equations
Covers algorithms for solving mathematical problems approximately using a computer, including nonlinear equations and numerical approximation methods.
Numerical Methods: Bisection and Multidimensional Arrays
Discusses the bisection method for solving nonlinear equations and its implementation using Python with NumPy and Matplotlib.
Bisection Method: Iterative Search for Zeros
Covers the bisection method for finding zeros of continuous functions through iterative narrowing of intervals.
Iterative Methods for Linear Equations
Covers iterative methods for solving linear equations and analyzing convergence, including error control and positive definite matrices.
Attack on RSA using LLL
Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.
Newton's Method: Convergence and Applications
Covers the convergence of Newton's method and its applications in numerical analysis.