Research Group of Prof. Dr. Carsten Burstedde
Contact Information
Friedrich-Hirzebruch-Allee 7
53115 Bonn
News and Old News
- There is an opening for a PhD position on scalable algorithms for hybrid AMR.
- My talk to high-school pupils on Mathematics in Electronic Music, originally scheduled for April 23rd, 2020, has been cancelled. I’ve replaced it with a streamed concert on that day; please see this page for details. We’re trying to find a date to realize the original event in 2022.
- We organized a
p4est
summer school from July 20–24, 2020 in Bonn. Please see our poster and the web page. Due to the Corona pandemic we had changed the format to an online workshop with tutorials. - SIAM News has published my article on the p4est software for parallel adaptive mesh refinement. Please see the proofs for reference.
- Vor sehr langer Zeit habe ich bei einer Sommerakademie der Studienstiftung einen Vortrag zur Magnetresonanztomographie gehalten und bin das versprochene Material schuldig geblieben. Die gute Nachricht ist, daß ich die Folien wiedergefunden habe. Die schlechte ist, daß ich dann Tee getrunken habe. Ich kann mich nur entschuldigen: Da ist nichts mehr zu machen außer Kunst.
- Hier ein Artikel aus aktuellem Anlaß.
- Recent article: Was ist eigentlich Wissenschaftliches Rechnen? in Forschung & Lehre, March 2013, pages 216-217.
- Springer CSE Prize 2011: See the press release by the Springer Verlag.
- Here are some interesting articles about jobs in technology, specifically on career-endangering habits and job interviews.
- I found this (German) newspaper article about intelligence. I’ve been collecting a few more, here’s another one and another and this one too.
Research
I am developing numerical techniques for accurate and efficient computer simulations. A particular focus is on scalable algorithms that run
on the largest supercomputers worldwide. A cornerstone of this research
is the p4est
software that I am lead-authoring.
Some geophysical applications are listed below.
- Thermal convection (a.k.a. plate tectonics)
- Seismic wave propagation (a.k.a. earthquakes)
- Hyperbolic conservation laws (a.k.a. atmospheric flow)
The mathematical methods considered relate to the following fields.
- Scientific computing and applied mathematics
- Large scale parallel numerical solution of PDEs
- Scalable algorithms for adaptive mesh refinement
Please see more details on my research pages. Check out my profile on Google Scholar and on the arXiv.
Documents
Here are some recent student evaluations for my lectures (with MD5 checksums):
- V5E3
14493bba7cb6125e4137d2c6c4091aa6
- V5E2
362ade7551efc6373cde359a98bc2ada
- V5E1
cfafef9f46a52a31dbe6f9dcb02b953b
- V4E2
8df7247bef61e23a8c92935be5f3ff3f
- V4E1
7cfc6f8315cde809141670a116e2a792
- V3E2
1c8cb3e0efe780b843786b817e63c960
- V3E1
6fc16e03017546eb94d8f2ce18eb3dfb
- V2E2
a2f42b64b82e0ef1ca3b896854a9026b
- V2E1
60dc0eca130e5c59cb21814314eefa79
Please feel free to email me if you have any questions. Occasionally I will post documents here.
- Zum Propagator gewöhnlicher Differentialgleichungen
- Meine Notizen zum Vorkurs Mathematik 2015
- Ein Dokument zur deutschen Silbentrennung mit LaTeX
- Notes on writing scientific documents
- Shell redirection tutorial
- Gauß theorem for tensor divergence
- Removing rigid body rotation from a computed velocity field
- Orthogonal projection with non-orthogonal basis vectors
Teaching
Summer semester 2022
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Hauptseminar Numerik Grundlegende numerische Techniken
Winter semester 2021/22
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Graduate Seminar on Efficient Simulation Parallel Algorithms for Adaptive Mesh Refinement
See teaching activities of the whole group.
Current Research Projects
Scalable algorithms for forest-of-octrees AMR
The p4est software provides highly scalable algorithms for dynamic adaptive mesh refinement..
Simulation of atmospheric flow and volcanic ash transport
The forestclaw project is a collaboration with D. Calhoun, Boise State University, USA.
See all projects of the group.
Publications
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p4est: a parallel software toolbox for efficient mesh refinement and partitioning.
C. Burstedde.
SIAM News, 2020.
BibTeX
Article on the SIAM web page
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Minimally-invasive integration of p4est in ESPResSo for adaptive Lattice-Boltzmann.
M. Lahnert, T. Aoki, C. Burstedde, and M. Mehl.
In The 30th Computational Fluid Dynamics Symposium. Japan Society of Fluid Mechanics, 2016.
BibTeX
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Towards lattice-Boltzmann on dynamically adaptive grids—minimally-invasive grid exchange in ESPResSo.
M. Lahnert, C. Burstedde, C. Holm, M. Mehl, G. Rempfer, and F. Weik.
In M. Papadrakakis, V. Papadopoulos, G. Stefanou, and V. Plevris, editors, ECCOMAS Congress 2016, VII European Congress on Computational Methods in Applied Sciences and Engineering, pages 1–25.
ECCOMAS, 2016.
BibTeX
PDF
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ForestClaw: hybrid forest-of-octrees AMR for hyperbolic conservation laws.
C. Burstedde, D. Calhoun, K. T. Mandli, and A. R. Terrel.
In M. Bader, A. Bode, H.-J. Bungartz, M. Gerndt, G. R. Joubert, and F. Peters, editors, Parallel Computing: Accelerating Computational Science and Engineering (CSE), volume 25 of Advances in Parallel Computing, 253–262. IOS Press, March 2014.
BibTeX
PDF
DOI
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The dynamics of plate tectonics and mantle flow: From local to global scales.
G. Stadler, M. Gurnis, C. Burstedde, L. C. Wilcox, L. Alisic, and O. Ghattas.
Science, 329(5995):1033–1038, 2010.
BibTeX
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Scalable adaptive mantle convection simulation on petascale supercomputers.
C. Burstedde, O. Ghattas, M. Gurnis, E. Tan, T. Tu, G. Stadler, L. C. Wilcox, and S. Zhong.
In SC08: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis. 2008.
BibTeX
PDF
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A wavelet-based nested iteration-inexact conjugate gradient algorithm for adaptively solving elliptic PDEs.
C. Burstedde and A. Kunoth.
Numerical Algorithms, 48(1-3):161–188, 2008.
BibTeX
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On the numerical evaluation of fractional Sobolev norms.
C. Burstedde.
Communications on Pure and Applied Analysis, 6(3):587–605, 2007.
BibTeX
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Algorithmic strategies for full waveform inversion: 1D experiments.
C. Burstedde and O. Ghattas.
In 77th Annual International Meeting, Expanded Abstracts, 1913–1917. 2007.
BibTeX
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Computing light masks in neutral atom lithography.
C. Burstedde, J. Braun, and A. Kunoth.
Journal of Computational Physics, 220:422–440, 2006.
BibTeX
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Fast iterative solution of elliptic control problems in wavelet discretization.
C. Burstedde and A. Kunoth.
Journal of Computational and Applied Mathematics, 196:299–319, 2006.
BibTeX
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Atomic nanofabrication with complex light fields.
M. Mützel, U. Rasbach, D. Meschede, C. Burstedde, J. Braun, A. Kunoth, K. Peithmann, and K. Buse.
Applied Physics B, 77:1–9, 2003.
BibTeX
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Cellular automaton approach to pedestrian dynamics – applications.
C. Burstedde, A. Kirchner, K. Klauck, A. Schadschneider, and J. Zittartz.
In Pedestrian and Evacuation Dynamics, pages 87–98.
Springer, 2002.
BibTeX
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Simulation von Fußgängerverhalten mittels zweidimensionaler zellulärer Automaten.
C. Burstedde.
Diploma thesis, Institut für Theoretische Physik, Universität zu Köln, 2001.
BibTeX
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p4est: a parallel software toolbox for efficient mesh refinement and partitioning. C. Burstedde. SIAM News, 2020. BibTeX Article on the SIAM web page
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Minimally-invasive integration of p4est in ESPResSo for adaptive Lattice-Boltzmann. M. Lahnert, T. Aoki, C. Burstedde, and M. Mehl. In The 30th Computational Fluid Dynamics Symposium. Japan Society of Fluid Mechanics, 2016. BibTeX
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Towards lattice-Boltzmann on dynamically adaptive grids—minimally-invasive grid exchange in ESPResSo. M. Lahnert, C. Burstedde, C. Holm, M. Mehl, G. Rempfer, and F. Weik. In M. Papadrakakis, V. Papadopoulos, G. Stefanou, and V. Plevris, editors, ECCOMAS Congress 2016, VII European Congress on Computational Methods in Applied Sciences and Engineering, pages 1–25. ECCOMAS, 2016. BibTeX PDF
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ForestClaw: hybrid forest-of-octrees AMR for hyperbolic conservation laws. C. Burstedde, D. Calhoun, K. T. Mandli, and A. R. Terrel. In M. Bader, A. Bode, H.-J. Bungartz, M. Gerndt, G. R. Joubert, and F. Peters, editors, Parallel Computing: Accelerating Computational Science and Engineering (CSE), volume 25 of Advances in Parallel Computing, 253–262. IOS Press, March 2014. BibTeX PDF DOI
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The dynamics of plate tectonics and mantle flow: From local to global scales. G. Stadler, M. Gurnis, C. Burstedde, L. C. Wilcox, L. Alisic, and O. Ghattas. Science, 329(5995):1033–1038, 2010. BibTeX
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Scalable adaptive mantle convection simulation on petascale supercomputers. C. Burstedde, O. Ghattas, M. Gurnis, E. Tan, T. Tu, G. Stadler, L. C. Wilcox, and S. Zhong. In SC08: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis. 2008. BibTeX PDF
-
A wavelet-based nested iteration-inexact conjugate gradient algorithm for adaptively solving elliptic PDEs. C. Burstedde and A. Kunoth. Numerical Algorithms, 48(1-3):161–188, 2008. BibTeX
-
On the numerical evaluation of fractional Sobolev norms. C. Burstedde. Communications on Pure and Applied Analysis, 6(3):587–605, 2007. BibTeX
-
Algorithmic strategies for full waveform inversion: 1D experiments. C. Burstedde and O. Ghattas. In 77th Annual International Meeting, Expanded Abstracts, 1913–1917. 2007. BibTeX
-
Computing light masks in neutral atom lithography. C. Burstedde, J. Braun, and A. Kunoth. Journal of Computational Physics, 220:422–440, 2006. BibTeX
-
Fast iterative solution of elliptic control problems in wavelet discretization. C. Burstedde and A. Kunoth. Journal of Computational and Applied Mathematics, 196:299–319, 2006. BibTeX
-
Atomic nanofabrication with complex light fields. M. Mützel, U. Rasbach, D. Meschede, C. Burstedde, J. Braun, A. Kunoth, K. Peithmann, and K. Buse. Applied Physics B, 77:1–9, 2003. BibTeX
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Cellular automaton approach to pedestrian dynamics – applications. C. Burstedde, A. Kirchner, K. Klauck, A. Schadschneider, and J. Zittartz. In Pedestrian and Evacuation Dynamics, pages 87–98. Springer, 2002. BibTeX
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Simulation von Fußgängerverhalten mittels zweidimensionaler zellulärer Automaten. C. Burstedde. Diploma thesis, Institut für Theoretische Physik, Universität zu Köln, 2001. BibTeX