Oil Spill

integration, interpolation

Simulating movement of an oil spill outside the norwegian west-coast simplified as dissolvment of a chemical.

  Roller Coaster

animation, gravity, newton, 4th order runge-kutta, interpolation, cubic splines

The motion of a rolling object on an arbitrary track is analyzed.

  Cubic Splines

interpolation, sparse matrix, chebychev nodes, curve fitting, system of equations, runge's phenomenon

Uses cubic splines to interpolate a given set of data points

  Trigonometric Interpolation

discrete fourier transform, interpolation, fft, least squares

Using trigonometric interpolation and the discrete Fourier transform to fit a curve to equally spaced data points.

  Sloshing

simpson's method, newton, euler, eigenvalue, poisson's equation, integration, interpolation

Analyzing sloshing using a numerical approach based on a linear model, which reduces the problem to a Steklov eigenvalue problem.

  Polynomial Interpolation

newton, lagrange, interpolation, chebychev nodes, runges phenomenon

Using polynomial interpolation to interpolate a set of points and to approximate a function or a curve.