Numerical Method Bangla Tutorial 7 : One/Fixed Point Iteration method

Описание: In this tutorial, students will delve into the world of numerical methods, where precision is paramount. From engineering simulations to financial modeling, accurate calculations are crucial in various fields. This seminar will equip students with the knowledge and tools to understand, implement, and evaluate numerical methods for achieving sufficient digits in computations.

Topics covered will include:

Introduction to numerical methods: Understanding the limitations of floating-point arithmetic and the importance of error analysis.

Root-finding algorithms: Exploring methods like Newton-Raphson and bisection for finding roots of equations with varying complexities.

Interpolation and approximation: Utilizing techniques such as polynomial interpolation and spline interpolation to approximate functions.

Numerical integration: Implementing methods like the trapezoidal rule and Simpson's rule to approximate definite integrals accurately.

Differential equation solvers: Investigating numerical techniques like Euler's method and Runge-Kutta methods for solving ordinary and partial differential equations.

Error analysis and convergence: Examining strategies for analyzing errors in numerical methods and assessing convergence rates.

Through hands-on exercises and practical examples, students will gain a deeper understanding of how numerical methods operate and how to optimize them for precision in real-world applications. Whether pursuing studies in engineering, computer science, or any field that involves computational analysis, this seminar will provide students with valuable skills for tackling numerical challenges with confidence.