SUMMER 2018
640:373, Index: 00279, Section H1
Instructor: Surya Teja Gavva
Email: suryateja@math.rutgers.edu
Lectures: MTWH 10:10 am - 12:10 pm, SEC 211, Busch Campus
Course Site: Sakai- NUMERICAL ANALYSIS H1 Summer 2018
Course Objectives: The main objective of the courses is to introduce techniques and concepts of numerical analysis. We study various numerical algorithms to compute "good" approximations to various quantities of interest. The focus will both on the theoretical analysis and the computational aspects of these numerical methods. We study the implementation, efficiency, reliability, stability of these numerical algorithms.
Topics :
- Introduction
- Bisection Method and Fixed Point Iteration
- Newton's Method and Convergence
- Accelerating convergence and roots of polynomials
- Interpolating polynomials and divided differences
- Hermite interpolation
- Cubic Splines
- Bezier curves
- Numerical Differentiation
- Richardson extrapolation
- Numerical Integration
- Composite Integration
- Romberg Integration
- Adaptive and Gaussian Quadrature
- Differential equations
- Euler's method
- Higher order Taylor and Runge-Kutta methods
- Multistep methods, variable step-sizes and extrapolation
- Systems of equations
- Stability and Stiff systems
NOTES Class Introduction
Root Finding
Weierstrass Approximation using Bernstein Polynomials
Polynomial Interpolation
Polynomial Interpolation1
HOMEWORK HW1
HW2
HW3
HW4
MATLAB Resources