Numerical Analysis, 5 cr

Core content:

• Discretizing ordinary differential equations
  

• Solving linear and nonlinear systems

• Interpolating functions

• Function approximations

• Numerical integration

• Error analysis

Complementary content:

• Matlab and/or Python in problem solving

• Visualizing solutions

Special content:

• Numerical methods for partial differential equations, e.g., finite difference and finite element methods

• Runge-Kutta and Leap-Frog methods for solving initial value problems

• Methods for fining roots, e.g.,  Newton-Raphson method

• Polynomial, spline and wavelet approximations

• Interpolation methods such as Runge's method

• Numerical quadratures, for example, Newton-Cotes -method, trapezoid and Simpson's formula

• Least squares fitting methods