Wolfgang Hackbusch
Encyclopedia
Wolfgang Hackbusch is a German
mathematician
, known for his pioneering research in multigrid method
s 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
.
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, known for his pioneering research in multigrid method
Multigrid method
Multigrid methods in numerical analysis are a group of algorithms 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...
s and later hierarchical matrices
Hierarchical matrix
In numerical mathematics, hierarchical matrices are used as data-sparse approximations of non-sparse matrices.While a sparse matrix of dimension n can be represented efficiently in O units of storage...
, a concept generalizing the fast multipole method
Fast Multipole Method
The fast multipole method is a mathematical technique that was developed to speed up the calculation of long-ranged forces in the n-body problem...
. He was a professor at the University of Kiel
University of Kiel
The University of Kiel is a university in the city of Kiel, Germany. It was founded in 1665 as the Academia Holsatorum Chiloniensis by Christian Albert, Duke of Holstein-Gottorp and has approximately 23,000 students today...
and is currently one of the directors of the Max Planck Institute for Mathematics in the Sciences
Max Planck Institute for Mathematics in the Sciences
The Max Planck Institute for Mathematics in the Sciences in Leipzig was founded on March 1, 1996.At the institute scientists work on projects which apply mathematics in various areas of natural sciences, in particular physics, biology, chemistry and material science.Main research areas are*...
in Leipzig
Leipzig
Leipzig Leipzig has always been a trade city, situated during the time of the Holy Roman Empire at the intersection of the Via Regia and Via Imperii, two important trade routes. At one time, Leipzig was one of the major European centres of learning and culture in fields such as music and publishing...
.
Publications
- Multi-grid methods and applications, 1985, Springer Berlin, ISBN 3-540-12761-5
- Elliptic Differential Equations: Theory and Numerical Treatment, 1992, Springer Berlin, ISBN 978-3540548225
- Iterative Solution of Large Sparse Systems of Equations, 1993, Springer Berlin, ISBN 978-0387940649
- Integral Equations: Theory and Numerical Treatment, 1995, Birkhäuser, ISBN 978-3764328719
- Hierarchische Matrizen: Algorithmen und Analysis, 2009, Springer Berlin, ISBN 978-3642002212