Курсовая работа: Interpolation, approximation and differential equations solvers

Interpolation, approximation and differential equations solvers

Содержание

• Contents
• Problem 1
• 1.1 Problem definition
• 1.2 Solution of the problem
• 1.2.1 Linear interpolation
• 1.2.2 Method of least squares interpolation
• 1.2.3 Lagrange interpolating polynomial
• 1.3 Results and discussion
• Lagrange polynomial
• Cubic spline
• Root mean square
• Problem 2
• 2.1 Problem definition
• 2.2 Problem solution
• 2.2.1 Rectangular method
• 2.2.2 Trapezoidal rule
• 2.2.3 Simpson's rule
• 2.2.4 Gauss-Legendre method and Gauss-Chebyshev method
• Problem 3
• 3.1 Problem definition
• 3.2 Problem solution
• Problem 4
• 4.1 Problem definition
• 4.2 Problem solution
• References