Numerical Methods for Chemical Engineering D-CAHB 2012
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* **19.09.2012**: introduction; modeling, discretisation and numerical solution on
  an example; propagation of the round-offerrors in an iteration; 
  quadrature; algebraic and exponential convergence, Landau O-notation;
  trapezoidal, Simpson, Gauss, Clenshaw-Curtis; composite quadrature; Theorem on error

* **26.09.2012**: examples of quadrature (slides); adaptivity; ODEs, reduction
  tricks with examples; existence and unicity result; examples;
  explicit Euler method

* **02.10.2012**: one-step methods (eE, iE, iMP, iTR); Stoermer-Verlet; velocity Verlet and leapfrog; structrure preservation; convergence order

* **03.10.2012**: splitting methods, time-dependent Schroedinger equation, linear IVPs and linearisation, Runge-Kutta with examples (eTR, eMP), Butscher tableau

* **10.10.2012**: general Runge-Kutta, adaptive time-stepping, ode45; stability and stiffness 

* **17.10.2012**: stiff problems and appropriate solvers; iterative methods, fix point iterations, Newton method

* **27.10.2012**: Newton method, simplified Newton method, Broyden Quasi-Newton method; method of steepest descent, preconditioned conjugate gradient; started SVD

* **31.10.2012**: singular value decomposition and PCA; orthogonality; QR-decomposition

* **07.11.2012**: linear and non-linear least squares