Introduction to Numerical Analysis

Related lectures (28)

Page 1 of 3

Introduces floating point number representation, round-off errors, and their impact on numerical computations.

Covers algorithms for mathematical problems, focusing on stability, precision, and critical result analysis.

Covers derivation, integration, and simulation in Matlab, along with the representation of numbers and potential errors.

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Explores floating point numbers, their representation, precision, and associated errors.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Explores floating point numbers, LU decomposition, errors, and matrix properties.

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.