Einführung in die Numerische Mathematik

Fehleranalyse (Gleitpunktdarstellung, Rundung, Fehlerfortpflanzung, Kondition, Gutartigkeit)

Polynominterpolation (Dividierte Differenzen, Interpolationsfehler)

Asymptotische Entwicklungen und Extrapolation (Richardson-Extrapolation)

Numerische Integration (Newton-Cotes-Formel, Romberg-Integration, Gaußsche Integration)

Lineare Gleichungssysteme (Gaußscher Algorithmus, LR-Zerlegung, Cholesky-Zerlegung, Matrixnormen, Fehlerabschätzungen)

Nichtlineare Gleichungssysteme (Fixpunktsätze, Konvergenzordnungsbegriffe, Newton-Verfahren, iterative Verfahren für LGS)

Lineare Ausgleichsrechnung

etc.

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