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Multigrid renormalization

Abstract:

We combine the multigrid (MG) method with state-of-the-art concepts from the variational formulation of the numerical renormalization group. The resulting MG renormalization (MGR) method is a natural generalization of the MG method for solving partial differential equations. When the solution on a grid of N points is sought, our MGR method has a computational cost scaling as O(log⁡(N)), as opposed to O(N) for the best standard MG method. Therefore MGR can exponentially speed up standard MG co...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1016/j.jcp.2018.06.065

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Atmos Ocean and Planet Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Atmos Ocean and Planet Physics
Role:
Author
Publisher:
Elsevier Publisher's website
Journal:
Journal of Computational Physics Journal website
Volume:
372
Pages:
587-602
Publication date:
2018-06-27
Acceptance date:
2018-06-24
DOI:
EISSN:
1090-2716
ISSN:
0021-9991
Pubs id:
pubs:870194
URN:
uri:1f1ca839-0a96-4a0b-ac09-8cf9df8c2286
UUID:
uuid:1f1ca839-0a96-4a0b-ac09-8cf9df8c2286
Local pid:
pubs:870194

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