After graduating, he worked briefly as a high school teacher before he returned to university. He completed his doctorate degree in Physics with Fritz Bopp with a dissertation on a quantum mechanical problem posed by Arnold Sommerfeld related to Unipolar Induction. Dr Samelson became interested in Numerical Analysis, and when Hans Piloty, an electrical engineer, and Robert Sauer, a professor of Mathematics, began working together, he joined and got involved in early computers as a research associate in the Mathematical Institute of the Technical University Munich. This changed his scientific career. His first publications came from Sauer's interests dealing with supersonic flow and precision problems of digital computations for numerical calculations of Eigenvalues. Soon after, Samelson's strong influence began on the development of Computer Science and Informatics as a new scientific discipline. With Friedrich L. Bauer, who also had Fritz Bopp as his Ph.D. advisor, he studied the structure of programming languages in order to develop efficient algorithms for their translation and implementation. This research led to bracketed structures and it became clear to Samelson that this principle should govern the translation of programming languages and the run-time system with stack models and block structure. It was a fundamental breakthrough in how computer systems are modeled and designed. Piloty, Bauer and Samelson had also worked on the design of PERM, a computer based partially on the Whirlwind concept. By 1955, the PERM was completed and they continued work that Bauer had begun in 1951 on concepts in automatic programming. Samelson played a key role in the design of ALGOL 58 and ALGOL 60. In 1958, he accepted a chair for Mathematics at the University of Mainz, and since 1963 he held a chair at the Technical University Munich where he and F.L. Bauer, began to develop a university curriculum for Informatics and Computer Science. He was involved with international standards in programming and informatics through IFIP. He became an editor of the journal Acta Informatica when it began in 1971.
Sequential Formula Translation, Klaus Samelson, Friedrich L. Bauer, Communications of the ACM 3: 76-83, 1960
Comments on ALGOL 60 Maintenance and Revisions, ALGOL Bulletin, Issue 12, April 1961
Klaus Samelson, Programming Languages and their Processing, IFIP Congress 1962: 487-492
Jürgen Eickel, Manfred Paul, Friedrich L. Bauer, Klaus Samelson, A Syntax Controlled Generator of Formal Language Processors, Communications of the ACM 6: 451-455, 1963
John W. Backus, Friedrich L. Bauer, Julien Green, C. Katz, John McCarthy, Alan J. Perlis, Heinz Rutishauser, Klaus Samelson, Bernard Vauquois, Joseph Henry Wegstein, Adriaan van Wijngaarden, Michael Woodger, Peter Naur, Revised Report on the Algorithmic Language ALGOL 60, Communications of the ACM 6: 1-17, 1963
Friedrich L. Bauer, Klaus Samelson, Language Hierarchies and Interfaces, International Summer School, Marktoberdorf, Germany, July 23 - August 2, 1975 Springer, 1976
Klaus Samelson, ECI Conference 1976, Proceedings of the 1st European Cooperation in Informatics, Amsterdam, The Netherlands, August 9–12, 1976, Proceedings, Springer, 1976
Rupert Gnatz, Klaus Samelson, Methoden der Informatik für Rechnerunterstütztes Entwerfen und Konstruieren, GI-Fachtagung, München, 19./21. Oktober 1977, Springer, 1977
Klaus Samelson, Entwicklungslinien in der Informatik, GI Jahrestagung 1978, pp. 132-148
Friedrich L. Bauer, Manfred Broy, Walter Dosch, Rupert Gnatz, Bernd Krieg-Brückner, Alfred Laut, M. Luckmann, T. Matzner, Bernhard Möller, Helmuth Partsch, Peter Pepper, Klaus Samelson, Ralf Steinbrüggen, Martin Wirsing, Hans Wössner, Programming in a Wide Spectrum Language: A Collection of Examples, Sci. Comput. Program. 1: 73-114
Klaus Samelson, Friedrich L. Bauer, Sequential Formula Translation,. Communications of the ACM 26: 9-13
The Munich Project CIP: Volume I: the wide spectrum language CIP-L'', Springer-Verlag, 1986