Notes for Numerical Methods - NM by Verified Writer

Approximation of numbers Significant figures Accuracy and precision Error definition Round off errors Error propagation Total numerical error

Roots of Equation Bisection ethos False-position method Fixed point iteration Newton-Raphson method Secant method Convergence and error analysis System of non-linear equations

Linear Algebraic Equation LU decomposition The matrix inversion Error analysis and system conditions Gauss-Siedel method

Interpolation Newton s divided difference interpolating polynomial Lagrange interpolating polynomial Spline interpolation

Numerical integration The Trapezoidal rule Simpson s rule Newton-Cotes algorithm for equations Romberg integration Gauss quadrature

Ordinary Differential Equation Euler method Improvement of Euler s method Runge-Kutta methods System of equations Multi step methods General methods for boundary value problems Eigen value problems