numerics

/problems

are by different papers/websites:

• APIC Cubic Dp proof in python sympy: Jiang et al., 2015
• Steepness constraint with Newton's method in matlab/octave Stomakhin et al.,2017
• conjugate gradient solver
• error plot from higham 2002 for error propagation in floating point operations

/fep

non linear isoparametric finite element calculation by finite element procedures by k.j. bathe in python

• Neo-Hookean vs. Mooney Rivlin
• Plasticity Theory
• Compute Nodal Forces for 2D square
• Compute Stiffness Matrix for 2D square
• Compute Both for a 2D square

/assignments

by Numerik für Ingenieure und Naturwissenschaftler of Wolfgang Dahmen and Arnold Reusken in matlab/octave

• nonlinear systems of equations
  • fixed point problems
  • finding zero crossings (bisection, newton method)
  • solving non linear systems of equations
• nonlinear curve fitting
  • gauss newton
• interpolation methods
  • cubic spline interpolation
• spline functions
  • b-spline basis
  • cubic spline interpolation with boundary conditions (given some function values)
• explicit runge kutta by butcher tableaus