Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Krister Åhlander"'
Autor:
Daniel Henriksson, Krister Åhlander
Publikováno v:
BIT Numerical Mathematics. 47:213-237
Block-diagonalization of sparse equivariant discretization matrices is studied. Such matrices typically arise when partial differential equations that evolve in symmetric geometries are discretized via the finite element method or via finite differen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a538fd2c793ae492d8e8eb967126478f
https://doi.org/10.1007/s10543-006-0110-z
https://doi.org/10.1007/s10543-006-0110-z
Autor:
Hans Munthe-Kaas, Krister Åhlander
Publikováno v:
Journal of Computational and Applied Mathematics. 192:89-99
An equivariant matrix A commutes with a group of permutation matrices. Such matrices often arise in numerical applications where the computational domain exhibits geometrical symmetries, for instance triangles, cubes, or icosahedra.The theory for blo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8820649a1dc0bc1d3a847481541d7abd
https://doi.org/10.1016/j.cam.2005.04.045
https://doi.org/10.1016/j.cam.2005.04.045
Autor:
Kurt Otto, Krister Åhlander
Publikováno v:
Future Generation Computer Systems. 22:102-109
A formulation of finite difference schemes based on the index notation of tensor algebra is advocated. Finite difference operators on regular grids may be described as sparse, banded, "tensors". Especially for higher space dimensions, it is claimed t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::634cea09dfe25f35675cbad6080236c1
https://doi.org/10.1016/j.future.2003.09.001
https://doi.org/10.1016/j.future.2003.09.001
Autor:
Krister Åhlander
Publikováno v:
Computers & Mathematics with Applications. 45(4-5):789-803
Exploiting symmetries are important in numerical mathematics, both with respect to efficient memory usage and with respect to symmetry exploiting algorithms. In this paper, the symmetries of tensors are in focus. A convenient notation for describing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfb1c50f011014151f52137b1a2235cd
Publikováno v:
Engineering with Computers. 18:286-294
An object-oriented (OO) framework for Partial Differential Equations (PDEs) provides software abstractions for numerical simulation of PDEs. The design of such frameworks is not trivial, and the outcome of the design is highly dependent on which math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::359a43f84376e0f2557daf9fc7824dfe
https://doi.org/10.1007/s003660200026
https://doi.org/10.1007/s003660200026
Publikováno v:
Advances in Databases and Information Systems ISBN: 9783540378990
ADBIS
ADBIS
Computational database technology spans the two research fields data-base technology and scientific computing. It involves development of database capabilities that support computational-intensive applications found in science and engineering. This i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a8b598d8eb3b0105c74a2f3ef433d82
https://doi.org/10.1007/11827252_28
https://doi.org/10.1007/11827252_28
Autor:
Krister Åhlander
Publikováno v:
Computational Science and Its Applications – ICCSA 2005 ISBN: 9783540258605
ICCSA (1)
ICCSA (1)
Symmetries are not only fascinating, but they can also be exploited when designing numerical algorithms and data structures for scientific engineering problems in symmetrical domains. Geometrical symmetries are studied, particularly in the context of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ca9adf5362e5e32d2fac149baf24c90
https://doi.org/10.1007/11424758_69
https://doi.org/10.1007/11424758_69
Autor:
Krister Åhlander
Publikováno v:
Generative Programming and Component Engineering ISBN: 9783540291381
GPCE
GPCE
Motivated by a wish to sort an array A while simultaneously permuting another array B, iteration over array pairs (A,B) is considered.Traditional solutions to this problem require an adaption of either the algorithm or of the data structure. The gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fb6b22c807c4b21db1372512d8e03c2
https://doi.org/10.1007/11561347_23
https://doi.org/10.1007/11561347_23
Autor:
Kurt Otto, Krister Åhlander
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783540435945
International Conference on Computational Science (3)
International Conference on Computational Science (3)
A formulation of finite difference schemes based on the index notation of tensor algebra is advocated. Finite difference operators on regular grids may be described as sparse, banded, "tensors". Especially for 3D, it is claimed that index notation be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c55f8da10eaee6350f5c928fc87abd0
https://doi.org/10.1007/3-540-47789-6_74
https://doi.org/10.1007/3-540-47789-6_74
Publikováno v:
IFIP Advances in Information and Communication Technology ISBN: 9781475767193
The Architecture of Scientific Software
The Architecture of Scientific Software
This is a status report of a long-term research effort focusing on object-oriented modeling of parallel PDE solvers, based on finite difference methods on composite, structured grids. Two previous results of this effort are reviewed, the class librar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c02b022f86abeb320d7f04a61c7d091
https://doi.org/10.1007/978-0-387-35407-1_10
https://doi.org/10.1007/978-0-387-35407-1_10