Simply Integrate!

A book and a package of integrators for students and interested scientists

written by Andreas Ernst (2006-2014)

This book and source code package ``Simply Integrate!'' contain descriptions and source codes of a collection of different integrators such as 4th and 8th-order Runge-Kutta, the Hermite scheme, or fancy ones, like a time-transformed 8th-order composition scheme where the highest accuracy is needed. For the plotting, gnuplot, idl, R, Omnigraffle and Gimp have been used.

Simply Integrate! HTML Book (layout corrected version; Bilingual German/Engl. print version
of the 1st edition available on request from the author; original version here;
please report errors in the book to info (at) and Erratum,
Simply Integrate! Codes (not released to the general public),
Simply Integrate! Gallery


Nbody6 variant by Andreas Ernst (2006-2013) based on a previous version by Rainer Spurzem. In collaboration with Andreas Just.

``Nbody6tid'' is a direct N-body code which solves the N-body problem in an analytic background potential. It is based on a series of N-body codes by Sverre Aarseth. Besides the standard version, a serial GPU and a parallel version for massively parallel computer architectures ranging from small Beowulf clusters to large supercomputers are part of Nbody6tid. Currently a beta version is available.

To obtain ``Nbody6tid'' send an email to aernst (at)
Nbody6tid HTML Manual
Nbody6tid Gallery


Spiral Spiral

Standpunkte zur Bioethik / Standpoints in Bioethics:

Und wenn alle Menschen kotzen, dann werden sie merken, daß die Gentechnik doch nicht das richtige ist.
And when all humans puke, they will notice that genetic engineering is not the right thing after all.
Standpunkte_Bioethik.pdf (auf deutsch)
Standpoints_Bioethics.pdf (in English)

Was würden die Professoren der Leopoldina sagen, wenn an ihnen als Embryonen geforscht worden wäre?
Dürfen sich Professoren und Wissenschaftler alles erlauben? Die Menschen machen vor ihren eigenen Embryonen nicht Halt!

Es gibt Dinge, an die man nicht rühren soll. Die Gentechniker korrumpieren Fauna und Flora.
Manche Menschen wollen keine Gentomaten, weil ihnen dann das Essen nicht mehr schmeckt.
Die mächtigen Professoren setzen sich einfach über sie hinweg.

This website © Copyright 2006-2021 by Dr. rer. nat. Andreas Ernst | Impressum