Wolfgang Hackbusch | |
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| Born | 24 October 1948 Westerstede, Lower Saxony, Ger |
| Occupation | Mathematician |
Wolfgang Hackbusch (born 24 October 1948 in Westerstede, Lower Saxony) is a German mathematician, known for his pioneering research in multigrid methods and later hierarchical matrices, a concept generalizing the fast multipole method. He was a professor at the University of Kiel and is currently one of the directors of the Max Planck Institute for Mathematics in the Sciences in Leipzig.
Analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, sequences, series, and analytic functions.
Mathematical physics refers to the development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories".
Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals.
In information science, formal concept analysis (FCA) is a principled way of deriving a concept hierarchy or formal ontology from a collection of objects and their properties. Each concept in the hierarchy represents the objects sharing some set of properties; and each sub-concept in the hierarchy represents a subset of the objects in the concepts above it. The term was introduced by Rudolf Wille in 1981, and builds on the mathematical theory of lattices and ordered sets that was developed by Garrett Birkhoff and others in the 1930s.
Constantin Carathéodory was a Greek mathematician who spent most of his professional career in Germany. He made significant contributions to real and complex analysis, the calculus of variations, and measure theory. He also created an axiomatic formulation of thermodynamics. Carathéodory is considered one of the greatest mathematicians of his era and the most renowned Greek mathematician since antiquity.
Friedrich Ernst Peter Hirzebruch ForMemRS was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure in his generation. He has been described as "the most important mathematician in Germany of the postwar period."
In numerical analysis, a multigrid method is an algorithm for solving differential equations using a hierarchy of discretizations. They are an example of a class of techniques called multiresolution methods, very useful in problems exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different rates of convergence for short- and long-wavelength components, suggesting these different scales be treated differently, as in a Fourier analysis approach to multigrid. MG methods can be used as solvers as well as preconditioners.
Detlev Buchholz is a German theoretical physicist. He investigates quantum field theory, especially in the axiomatic framework of algebraic quantum field theory.
Michel Pierre Talagrand is a French mathematician. Docteur ès sciences since 1977, he has been, since 1985, Directeur de Recherches at CNRS and a member of the Functional Analysis Team of the Institut de Mathématique of Paris. Talagrand was elected as correspondent of the Académie des sciences of Paris in March 1997, and then as a full member in November 2004, in the Mathematics section.
Kurt Binder is an Austrian theoretical physicist. He received his Ph.D. in 1969 at the Technical University of Vienna, and his habilitation degree 1973 at the Technical University of Munich. He decided to accept a professorship post for Theoretical Physics at the Saarland University, having an offer from the Freie University in Berlin as well at the same time. From 1977 to 1983, he headed a group for Theoretical Physics in the Institute for Solid State Research at the Forschungszentrum Jülich, prior to taking his present post as a University Professor for Theoretical Physics at the University of Mainz, Germany. Since 1989 he is also an external member of the Max-Planck-Institute for Polymer Physics in Mainz.
Jürgen Ehlers was a German physicist who contributed to the understanding of Albert Einstein's theory of general relativity. From graduate and postgraduate work in Pascual Jordan's relativity research group at Hamburg University, he held various posts as a lecturer and, later, as a professor before joining the Max Planck Institute for Astrophysics in Munich as a director. In 1995, he became the founding director of the newly created Max Planck Institute for Gravitational Physics in Potsdam, Germany.
Miodrag S. Petković is a mathematician and computer scientist. In 1991 he became a full professor of mathematics at the Faculty of Electronic Engineering, University of Niš in Serbia.
Luigi Ambrosio is a professor at Scuola Normale Superiore in Pisa, Italy. His main fields of research are the calculus of variations and geometric measure theory.
Wolfgang Lück is a German mathematician who is an internationally recognized expert in algebraic topology.
Jürgen Jost is a German mathematician specializing in geometry. He has been a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 1996.
Vivette Girault is a French mathematician, whose research expertise lies in numerical analysis, finite element methods and computational fluid dynamics. She has been affiliated with Pierre and Marie Curie University.
Rolf Rannacher is a German mathematician and a professor of numerical analysis at Heidelberg University.
Gerhard Wanner is an Austrian mathematician.
Hartmut Ehrig was a German computer scientist and professor of theoretical computer science and formal specification. He was a pioneer in algebraic specification of abstract data types, and in graph grammars.
Eberhard Hermann Erich Zeidler was a German mathematician, who worked primarily in the field of non-linear functional analysis.
Wolfgang Hackbusch at the Mathematics Genealogy Project
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