-
R. Blaheta, J. Haslinger, S. Sysala, P. Arbenz,
J. Kraus:
"Preface: MATCOM special issue on Modelling 2019".
Math. Comput. Simul. 189: 1–2 (2021)
doi:10.1016/j.matcom.2021.03.040
-
G. Accaputo, P. M. Derlet, P. Arbenz:
"Solving large-scale interior eigenvalue problems to investigate the
vibrational properties of the boson peak regime in amorphous
materials".
In: High Performance Computing in Science and Engineering. HPCSE
2019.
T. Kozubek, P. Arbenz, J. Jaroš, L. Říha, J. Šistek,
P. Tichý (eds.).
Lecture Notes in Computer Science 12456, pp. 80-98.
Springer, Cham, 2021.
doi:10.1007/978-3-030-67077-1_5.
An earlier version of the paper is available at
arXiv:1902.07041 [physics.comp-ph], February 2019.
-
O. Schenk,
P. Arbenz,
L. Giraud,
W. Vanroose:
"Guest editorial:
Virtual special issue on Parallel Matrix Algorithms and Applications
(PMAA'18)".
Parallel Comput.
doi:10.1016/j.parco.2020.102720.
-
P. Arbenz, L. Říha:
"Batched transpose-free ADI-type preconditioners for a Poisson solver on
GPGPUs".
J. Parallel Distrib. Comput. 137:148-159 (2020),
doi:10.1016/j.jpdc.2019.11.004.
-
M. Kranjčević, S. Gorgi Zadeh, A. Adelmann, P. Arbenz,
U. van Rienen:
"Constrained multi-objective shape optimization of superconducting RF
cavities considering robustness against geometric perturbations".
Phys. Rev. Accel. Beams 22:122001 (2019),
doi:10.1103/PhysRevAccelBeams.22.122001.
-
N. Neveu, L. Spentzouris, A. Adelmann, Y. Ineichen, A. Kolano,
C. Metzger-Kraus, C. Bekas, A. Curioni, P. Arbenz:
"Parallel
general purpose multiobjective optimization framework with application
to electron beam dynamics".
Phys. Rev. Accel. Beams 22:054602 (2019),
doi:10.1103/PhysRevAccelBeams.22.054602.
-
M. Kranjčević, P. Arbenz, A. Adelmann, A. Citterio,
L. Stingelin:
"Multi-objective shape optimization of radio frequency
cavities using an evolutionary algorithm".
Nucl. Instrum. Methods Phys. Res., Sect. A 920: 106-114 (2019),
doi:0.1016/j.nima.2018.12.066.
-
M. Kranjčević, P. Arbenz, A. Adelmann, S. Gorgi Zadeh,
U. van Rienen:
"Constrained
multi-objective shape optimization of superconducting RF cavities to
counteract dangerous higher order modes"
13th International Computational Accelerator Physics Conference
(ICAP'18), Key West, Florida, USA, Oct. 2018, paper TUPAG14.
-
M. Kranjčević, P. Arbenz, A. Adelmann:
"Multi-level preconditioning and eigenvector approximation for
axisymmetric Maxwell eigenproblems".
Proc. Appl. Math. Mech. (PAMM) 18: e201800091 (2018), doi:10.1002/pamm.201800091.
-
P. Arbenz, D. Hupp, D. Obrist:
"Comparison of Parallel Time-Periodic Navier-Stokes Solvers".
In: Parallel Processing and Applied Mathematics (PPAM 17) Part I.
R. Wyrzykowski et al. (eds.).
Lecture Notes in
Computer Science 10777, pp. 57-67. Springer,
Berlin, 2018. doi:10.1007/978-3-319-78024-5_6.
-
E. Agullo,
P. Arbenz,
L. Giraud,
O. Schenk:
"Guest editorial:
Special issue on Parallel Matrix Algorithms and Applications
(PMAA'16)."
Parallel Comput.
74: 1-2 (2018),
doi:10.1016/j.parco.2018.01.003.
-
D. Hupp, D. Obrist, P. Arbenz
"A parallel Navier-Stokes solver using spectral discretization in time".
Int. J. Comput. Fluid Dyn. 30 (7-10): 489-494 (2016),
doi:10.1080/10618562.2016.1242725.
-
N. Ohs, F. Keller, O. Blank, W.-Y. W. Lee, C.-Y. J. Cheng, P. Arbenz,
R. Müller, P. Christen
"Towards in silico prognosis using big data".
Current Directions in Biomedical Engineering. 2 (1): 57-60 (2016),
doi:10.1515/cdbme-2016-0016,
-
P. Benedusi, D. Hupp, P. Arbenz, R. Krause:
"A Parallel Multigrid Solver for Time-Periodic Incompressible Navier-Stokes Equations in 3D".
In: Numerical Mathematics and Advanced Applications - ENUMATH 2015.
B. Karasözen, M. Manguoglu, M. Tezer-Sezgin, S. Göktepe,
Ö. Ugur (eds.).
Lecture Notes in Computational Science
and Engineering 112. Springer, 2016. pp. 265-273.
doi:10.1007/978-3-319-39929-4_26
-
D. Hupp, D. Obrist,
P. Arbenz:
"Multigrid preconditioning for time-periodic Navier-Stokes problems".
Proc. Appl. Math. Mech. (PAMM) 15: 595-596 (2015), doi:10.1002/pamm.201510287
-
P. Arbenz,
L. Grigori, R. Krause,
O. Schenk:
"Guest editorial:
Special issue on Parallel Matrix Algorithms and Applications
(PMAA'14)"
Part 1 of 2:
Parallel Comput.
49: 99-100 (2015), doi:10.1016/j.parco.2015.10.004.
Part 2 of 2:
Parallel Comput.
57: 135-136 (2016), doi:10.1016/j.parco.2016.08.003.
-
St. Pauli, P. Arbenz:
"Determining optimal multilevel Monte Carlo parameters with
application to fault tolerance".
Comput. Math. Appl.
70 (11): 2638-2651 (2015),
doi:10.1016/j.camwa.2015.07.011.
Available (in a preliminary version) as
Technical Report, Computer Science Department,
ETH Zürich, November 2014.
doi:10.3929/ethz-a-010335876.
-
St. Pauli, P. Arbenz,
Ch. Schwab:
"Intrinsic fault tolerance of multilevel Monte Carlo methods".
J. Parallel Distrib. Comput.
84: 24-36 (2015), doi:10.1016/j.jpdc.2015.07.005.
Available as
Technical Report 2012-24, Seminar for Applied Mathematics,
ETH Zürich, August 2012/August 2015.
http://www.sam.math.ethz.ch/sam_reports/index.php?id=2012-24
-
St. Pauli, R. Gantner, P. Arbenz, A. Adelmann:
"Multilevel Monte Carlo for the Feynman-Kac formula
for the Laplace equation".
BIT Numer. Math.
55 (4): 1125-1143 (2015), doi:10.1007/s10543-014-0543-8.
-
P. Arbenz, C. Flaig, D. Kellenberger:
"Bone structure analysis on multiple GPGPUs".
J. Parallel Distrib. Comput.
74: 2941-2950 (2014), doi:10.1016/j.jpdc.2014.06.014.
-
Y. Matsuo, H. Guo, P. Arbenz:
"Experiments on
a parallel nonlinear Jacobi-Davidson algorithm". Procedia
Comput. Sci. 29: 565-575 (2014),
Proceedings of the International Conference on Computational Science (ICCS) 2014.
doi:10.1016/j.procs.2014.05.051.
-
P. Arbenz, D. Hupp, D. Obrist:
"A parallel solver for the time-periodic Navier-Stokes Equations".
In: Parallel Processing and Applied Mathematics (PPAM 13) Part II.
R. Wyrzykowski, J. Dongarra, K. Karczewski,
J. Waśniewski (eds.).
Lecture Notes in
Computer Science 8385, pp. 291-300. Springer,
Berlin, 2014. doi:10.1007/978-3-642-55195-6_27.
-
M. Toggweiler, A. Adelmann,
P. Arbenz, J. J. Yang:
"A novel adaptive time stepping variant of the Boris-Buneman integrator
applied to particle accelerator simulation with space charge".
J. Comput. Phys.
273: pp. 255-267 (2014), doi:10.1016/j.jcp.2014.05.008.
-
E. Turan, P. Arbenz:
"Preconditioning aspects of large scale micro finite element
analysis of 3D bone poroelasticity".
Parallel Comput.
40: pp. 239-250 (2014), doi:10.1016/j.parco.2013.09.002.
-
St. Pauli, M. Kohler, P. Arbenz:
"A fault tolerant implementation of multi-level Monte Carlo
methods". Parallel Computing: Accelerating Computational Science
and Engineering (CSE). M. Bader et al. (eds.). Advances in
Parallel Computing 25, IOS Press, 2014, pp. 471-480.
doi:10.3233/978-1-61499-381-0-471.
-
H. Guo, P. Arbenz, B. Oswald:
"A large-scale nonlinear eigensolver for the analysis of dispersive
nanostructures".
Computer Phys. Comm.
184 (8): pp. 1898-1906 (2013),
doi:10.1016/j.cpc.2013.03.014.
-
P. Arbenz, E. Turan:
"Preconditioning for Large Scale Micro Finite Element Analyses of 3D
Poroelasticity".
In: Applied Parallel and Scientific Computing (PARA 2012).
P. Manninen and P. Öster (eds.).
Lecture Notes in Computer Science 7782, pp. 361-374.
Springer, Heidelberg, 2013,
doi:10.1007/978-3-642-36803-5_26.
-
Y. Ineichen, A. Adelmann,
C. Bekas,
A. Curioni,
P. Arbenz:
"A fast and scalable low dimensional solver for charged
particle dynamics in large particle accelerators",
Comput. Sci. Res. Dev. 28 (2-3): 185-192 (2013), doi:10.1007/s00450-012-0216-2.
-
H. Guo, B. Oswald, P. Arbenz:
"Realistic 3-dimensional eigenmodal analysis of electromagnetic cavities
using surface impedance boundary conditions".
In: Proceedings of the 11th International Computational Accelerator
Physics Conference (ICAP2012), August 2012.
-
Y. Ineichen,
A. Adelmann,
C. Bekas,
A. Curioni,
P. Arbenz:
"A massively parallel general purpose multi-objective optimization
framework, applied to beam dynamic studies".
In: Proceedings of the 11th International Computational Accelerator
Physics Conference (ICAP2012), August 2012.
-
H. Guo, B. Oswald, P. Arbenz:
"3-dimensional eigenmodal analysis of plasmonic nanostructures".
Optics Express. 20 (5): 5481-5500 (2012),
doi:10.1364/OE.20.005481.
-
C. Kraus, A. Adelmann, P. Arbenz:
"Perfectly matched layers in a divergence preserving ADI scheme for
electromagnetics".
J. Comput. Phys.
231 (1): 39-44 (2012), doi:10.1016/j.jcp.2011.08.016.
-
C. Bekas,
A. Curioni, P. Arbenz, C. Flaig, G.H. van Lenthe, R.
Müller, A.J. Wirth:
"Massively parallel graph partitioning: A case in human bone
simulations".
In: Combinatorial Scientific Computing. Uwe
Naumann, Olaf Schenk (eds.).
Chapman and Hall/CRC, 2012. pp. 407-425.
-
P. Arbenz, A. Hiltebrand, D. Obrist:
"A parallel space-time finite difference solver for periodic
solutions of the shallow-water equation".
In: Parallel Processing and Applied Mathematics (PPAM 11) Part II.
R. Wyrzykowski, J. Dongarra, K. Karczewski,
J. Waśniewski (eds.).
Lecture Notes in
Computer Science 7204, pp.302-312. Springer,
Berlin, 2012.
-
C. Flaig, P. Arbenz:
A highly scalable matrix-free multigrid solver for μFE
analysis based on a pointer-less octree".
In: Large Scale Scientific Computing LSSC'11.
I. Lirkov, S. Margenov, and J. Waśniewski (eds.).
Lecture Notes in Computer Science 7116,
pp. 498-506. Springer,
Heidelberg, 2012, doi:10.1007/978-3-642-29843-1_56.
-
P. Arbenz,
Y. Saad,
A. Sameh,
O. Schenk:
"Guest editorial:
Special issue on Parallel Matrix Algorithms and Applications
(PMAA'10)".
Parallel Comput.
37 (12): 731-732 (2011), doi:10.1016/j.parco.2011.10.011.
-
C. Flaig, P. Arbenz:
"A scalable memory efficient multigrid solver for micro-finite element
analyses based on CT images".
Parallel Comput.
37 (12): 846-854 (2011), doi:10.1016/j.parco.2011.08.001.
-
A. Adelmann, P. Arbenz, Y. Ineichen:
"Improvements of a fast parallel Poisson solver on irregular domains".
In: Applied Parallel and Scientific Computing (PARA 2010).
K. Jónasson (ed.). Part I,
Lecture Notes in Computer Science 7133, pp. 65-74.
Springer, Heidelberg, 2012.
-
A.J. Wirth, J. Goldhahn, C. Flaig, P. Arbenz,
R.
Müller,
G.H. van Lenthe:
"Implant stability is affected by local bone microstructural quality".
Bone
49 (3): 473-478 (2011), doi:10.1016/j.bone.2011.05.001.
-
D. Obrist,
R. Henniger, P. Arbenz:
"Parallelization of the time integration
for time-periodic flow problems".
Proc. Appl. Math. Mech. (PAMM) 10 (1): 567-568 (2010),
doi:10.1002/pamm.201010276.
-
A. Adelmann, P. Arbenz, Y. Ineichen:
"A Fast Parallel Poisson Solver on Irregular Domains Applied to Beam
Dynamic Simulations",
J. Comput. Phys. 229 (12): 4554-4566 (2010), doi:10.1016/j.jcp.2010.02.022.
-
C. Bekas,
A. Curioni,
P. Arbenz, C. Flaig, G.H. van Lenthe, R.
Müller, A.J. Wirth:
"Extreme scalability challenges in micro-finite element simulations of human bone".
Concurrency and Computation: Practice and Experience
22 (16): 2282-2296 (2010), doi:10.1002/cpe.1591.
-
A.J. Wirth, Th.L. Mueller, W. Vereecken, C. Flaig, P. Arbenz,
R.
Müller,
G.H. van Lenthe:
"Mechanical competence of bone-implant systems can accurately be
determined by image-based micro-finite element analyses".
Arch. Appl. Mech. 80 (5): 513-525 (2010),
doi:10.1007/s00419-009-0387-x.
-
P. Arbenz, J. Bryner, Ch. Tobler:
"Parallelized transient elastic wave propagation in orthotropic
structures".
In: Parallel Processing and Applied Mathematics (PPAM 09).
R. Wyrzykowski, J. Dongarra, K. Karczewski, and J. Waśniewski (eds.).
Lecture Notes in
Computer Science 6068, pp.310-319. Springer,
Berlin, 2010, doi:10.1007/978-3-642-14403-5_33.
-
S. Paranjape, M. Kaufmann, P. Arbenz:
"WebParFE: a Web Interface for the High-Performance Parallel Finite
Element Solver ParFE".
Technical Report 654, Chair of Computational Science,
ETH Zürich, December 2009.
-
P. Arbenz, M. van
Gijzen, P. Amestoy,
and P. D'Ambra:
"Parallel Numerical Algorithms: Introduction".
In: Euro-Par 2009 Parallel Processing.
H.J. Sips, D.H.J. Epema, and H.-X. Lin (eds.)
Lecture Notes in
Computer Science 5704 , pp.719-720. Springer,
Berlin, 2009, doi:10.1007/978-3-642-03869-3_67.
-
P. Arbenz,
R.
Müller:
"Microstructural Finite Element Analysis of Human Bone Structures".
ERCIM News 74, pp. 31-32, July 2008.
-
Ch. Vömel, R.G. Vepřek, U. Weber, P. Arbenz:
"Iterative Solution of Generalized Eigenvalue Problems from
Optoelectronics with Trilinos".
Technical Report 598, Institute of Computational Science,
ETH Zürich, June 2008.
-
P. Arbenz,
G.H. van Lenthe,
U. Mennel,
R. Müller,
M. Sala:
"A Scalable Multi-level Preconditioner for Matrix-Free
μ-Finite Element Analysis of Human Bone Structures".
Internat. J. Numer. Methods Engrg. 73 (7): 927-947 (2008),
doi:10.1002/nme.2101.
-
P. Arbenz, C. Flaig:
"On Smoothing Surfaces in Voxel Based Finite Element Analysis of
Trabecular Bone".
In: Large Scale Scientific Computing LSSC'07.
I. Lirkov, S. Margenov, and J. Waśniewski (eds.).
Lecture Notes in Computer Science 4818. pp.69-77.
Springer, Berlin, 2008.
-
F. Römer, B. Witzigmann, O. Chinellato, and P. Arbenz:
"Investigation of the Purcell effect in photonic crystal cavities
with a 3D Finite Element Maxwell Solver".
Optical and Quantum Electronics 39 (4-6): 341-352 (2007),
doi:10.1007/s11082-007-9089-1.
-
P. Arbenz and O. Chinellato:
"On solving complex-symmetric eigenvalue problems arising in the
design of axisymmetric VCSEL devices".
Appl. Numer. Math. 58 (4): 381-394 (2008),
doi:10.1016/j.apnum.2007.01.019
-
P. Arbenz,
S. D. Margenov, and
Y. Vutov:
"Parallel MIC(0) Preconditioning of 3D
Elliptic Problems Discretized by Rannacher-Turek Finite Elements".
Computers and Mathematics with Applications
55 (10): 2197-2211 (2008), doi:10.1016/j.camwa.2007.11.013
-
P. Arbenz,
G. H. van Lenthe,
U. Mennel,
R.
Müller, and
M. Sala:
"Multi-level μ-Finite Element Analysis for Human Bone Structures".
In: Applied Parallel Computing: State of the Art in Scientific
Computing. B. Kågström, E. Elmroth, J. Dongarra, and
J. Waśniewski (eds.).
Lecture Notes in Computer Science 4699 , pp.240-250. Springer,
Berlin, 2007, doi:10.1007/978-3-540-75755-9_30.
-
P. Arbenz, M. Bečka, R. Geus,
U. L. Hetmaniuk, and
T. Mengotti:
"On a Parallel Multilevel Preconditioned Maxwell Eigensolver".
Parallel Comput.,
32 (2): 157-165 (2006).
-
P. Arbenz,
U. L. Hetmaniuk, R. B. Lehoucq, and
R. S. Tuminaro:
"A Comparison of Eigensolvers for Large-scale 3D Modal Analysis using
AMG-Preconditioned Iterative Methods".
Internat. J. Numer. Methods Engrg. 64 (2): 204-236 (2005).
-
P. Arbenz,
H. Burkhart,
E. Maehle, and
O. Schenk:
"SPEEDUP Workshop on Modern algorithms in computational science and
information technology (editorial)".
Future Generation Computer Systems 21 (8): 1249-1250 (2005).
-
O. Chinellato, P. Arbenz, M. Streiff, and A. Witzig:
"Computation of Optical Modes Inside Axisymmetric Open Cavity
Resonators".
Future Generation Computer Systems 21 (8): 1263-1274 (2005).
-
P. Arbenz and R. Geus:
"Multilevel preconditioned iterative eigensolvers for
Maxwell eigenvalue problems".
Appl. Numer. Math. 54 (2): 107-121 (2005).
-
P. Arbenz, M. Bečka, R. Geus, and
U. L. Hetmaniuk:
"Towards a Parallel Multilevel Preconditioned Maxwell Eigensolver".
In: PARA'04: Workshop on the State-of-the-Art
in Scientific Computing, J. Dongarra, K. Madsen, and
J. Waśniewski (eds.). Lecture Notes in Computer Science 3732 , pp.831-838. Springer, Berlin, 2005.
-
P. Arbenz and
S. D. Margenov:
"Parallel MIC(0) preconditioning of 3D nonconforming
FEM systems".
Iterative Methods, Preconditioning and Numerical PDEs,
Proceedings of IMET Conference, Prague, 2004, pp. 12-15.
-
P. Arbenz and
M. E. Hochstenbach:
"A Jacobi-Davidson Method for Solving Complex-Symmetric Eigenvalue
Problems".
SIAM J. Sci. Comput. 25 (5): 1655-1673 (2004).
doi:10.1137/S1064827502410992.
-
P. Arbenz,
Efstratios Gallopoulos,
Bernard Philippe,
and
Yousef Saad
:
"Parallel Matrix Algorithms and Applications (PMAA '02)" (Guest editorial).
Parallel Comput., 29 (9): 1117-1119 (2003).
-
R. Geus and P. Arbenz:
"PySparse and PyFemax: A Python framework for large scale sparse
linear algebra".
Contributed paper at PyCon03, Washington DC, USA, 26-28 March, 2003.
-
P. Arbenz and
T. Braun:
"SPEEDUP workshop on distributed computing and high-speed networks"
(Guest editorial).
Future Generation Computer
Systems, 19 (1): 99-100 (2003).
-
P. Arbenz and
Z. Drmač:
"On Positive Semidefinite Matrices with Known Null Space".
SIAM J. Matrix Anal. Appl. 24 (1): 132-149 (2002).
doi:10.1137/S0895479800381331.
-
P. Arbenz:
"A Comparison of
Factorization-free Eigensolvers with Application to Cavity
Resonators".
In: Computational Science - ICCS 2002, P.M.A. Sloot, C.J.K. Tan,
J.J. Dongarra, and A.G. Hoekstra (eds.).
Springer, Berlin, 2002, pp. 295-304. (Lecture
Notes in Computer Science, 2331)
-
P. Arbenz,
R. Geus, St. Adam:
"Solving Maxwell Eigenvalue Problems for Accelerating Cavities".
Phys. Rev. ST Accel. Beams, 4: 022001, 2001,
doi:10.1103/PhysRevSTAB.4.022001.
-
P. Arbenz:
"A Note on ScaLAPACK's Banded System Solvers".
Proceedings of the 16th IMACS World Congress 2000
on Scientific Computation, Applied Mathematics and Simulation
(IMACS2000), M. Deville and R. Owens (eds.). 6 pages. (Compact Disc)
-
P. Arbenz, O. Bröker, O. Chinellato, W. Gander, R. Geus, and
R. Strebel:
"A comparison of numerical implementations of the eigenstate expansion
method for quantum molecular dynamics simulations".
Technical Report 333, Institute of Scientific Computing,
ETH Zürich, January 2000.
(
pdf-file).
-
P. Arbenz:
"Towards an efficient implementation of the eigenstate expansion
method for quantum molecular dynamics simulations".
In:
Large-Scale Scientific Computations of Engineering and Environmental
Problems II, M. Griebel, S. Margenov, and P. Yalamov (eds.).
Notes on Numerical Fluid Mechanics, vol. 73. Vieweg, 2000, pp. 119-127.
-
P. Arbenz, A. Cleary,
J. Dongarra,
and M. Hegland:
"A
Comparison of Parallel Solvers for Diagonally Dominant and General
Narrow-Banded Linear Systems II".
In: EuroPar '99 Parallel Processing, P. Amestoy, Ph. Berger,
M. Daydé, I. Duff, V. Frayssé, L. Giraud, and D. Ruiz
(eds.). Springer, Berlin, 1999, pp. 1078-1087. (Lecture Notes in Computer Science, 1685)
Also available as
Technical Report CS-99-415, Computer Science Department,
University of Tennessee at Knoxville, May 1999. (LAPACK Working Note
No. 143,
ps-file).
-
P. Arbenz and R. Geus:
"Two-level
hierarchical basis preconditioners for computing eigenfrequencies of cavity
resonators with the finite element method".
In: Recent
Advances in Numerical Methods and Applications, O. P. Iliev, M.
S. Kaschiev, S. D. Margenov, B. H. Sendov, and P. S. Vassilevski (eds.).
World Scientific, Singapore, 1999, pp. 151-160
-
P. Arbenz and R. Geus: "Eigenvalue Solvers
for Electromagnetic Fields in Cavities". In: High Performance
Scientific and Engineering Computing, H.-J. Bungartz, F. Durst, and
Chr. Zenger (eds.). Springer, Berlin, 1999, pp. 363-373. (Lecture
Notes in Computational Science and Engineering, 8),
doi:10.1007/978-3-642-60155-2_30.
-
P. Arbenz, A. Cleary,
J. Dongarra,
and M. Hegland:
"A Comparison of Parallel Solvers for Diagonally Dominant and General
Narrow-Banded Linear Systems". Parallel and Distributed Computing
Practices 2, 385-400 (1999).
Also available as Technical Report CS-99-414, Computer Science
Department, University of Tennessee at Knoxville, February 1999.
(LAPACK Working Note
No. 142,
ps-file/
pdf-file).
-
P. Arbenz and R. Geus: "A Comparison of Solvers for Large Eigenvalue
Problems Occuring in the Design of Resonant Cavities". Numerical
Linear Algebra with Applications, 6: 3-16 (1999),
doi:10.1002/(SICI)1099-1506(199901/02)6:1<3::AID-NLA142>3.0.CO;2-I.
-
P. Arbenz and M. Hegland:
"On the Stable Parallel Solution of General Narrow Banded Linear Systems",
In: High Performance Algorithms for Structured Matrix Problems, P.
Arbenz, M. Paprzycki, A. Sameh, and V. Sarin (eds.). Nova
Science Publishers, Commack NY, 1998. pp. 47-73.
-
P. Arbenz and R. Geus: "Parallel
Solvers for Large Eigenvalue Problems Originating from Maxwell's
Equations". In: EuroPar '98: Parallel Processing, D. Pritchard,
J. Reeve (eds.). Springer, Berlin, 1998, pp. 771-779. (Lecture
Notes in Computer Science, 1470)
-
P. Arbenz, W. Gander, and M. Oettli: "The Remote Computation System".
Parallel Comput.
23: 1421-1428, 1997, doi:10.1016/S0167-8191(97)00061-6.
-
P. Arbenz and M. Hegland:
"The stable
parallel solution of narrow banded linear systems". In: Proceedings
of the Eighth SIAM Conference on Parallel Processing for Scientific Computing,
M. Heath, V. Torczon, G. Astfalk, P. E. Bjorstad, A. H. Karp, C. H. Koelbel,
V. Kumar, R. F. Lucas, L. T. Watson, and D. E. Womble (eds.). SIAM, Philadelphia,
1997. 8 pages. (Compact Disc)
-
P. Arbenz, M.
Billeter, P.
Güntert, P.
Luginbühl, M. Taufer,
and U. von Matt: "Molecular
Dynamics Simulations on Cray Clusters using the SCIDDLE-PVM Environment".
In: Parallel
Virtual Machine - EuroPVM '96, A. Bode, J. Dongarra, T. Ludwig,
and V. Sunderam (eds.). Springer-Verlag, Berlin, 1996, pp. 142-149. (Lecture Notes in Computer
Science, 1156)
-
St. Adam, P. Arbenz, R. Geus:
"Eigenvalue Solvers for Electromagnetic Fields in Cavities".
Technical Report 275, Computer Science Department,
ETH Zürich, October 1997.
-
P. Arbenz: "On
Experiments with a Parallel Direct Solver for Diagonally Dominant Banded
Linear Systems". In: EuroPar
'96 - Parallel Processing, L. Bougé, P. Fraigniaud, A. Mignotte,
and Y. Robert (eds.). Springer-Verlag, Berlin, 1996, pp. 11-21. (Lecture Notes in Computer
Science, 1124)
-
P. Arbenz, W. Gander, H.
P. Lüthi, and U. von Matt: "Sciddle
4.0, or, Remote Procedure Calls in PVM". In: High
Performance Computing and Networking, H. Liddell, A. Colbrook,
B. Hertzberger, and P. Sloot (eds.). Springer-Verlag, Berlin, 1996, pp.
820-825. (Lecture
Notes in Computer Science, 1067)
-
P. Arbenz and W. Gander: "Direct
Parallel Algorithms for Banded Linear Systems". Z.
Angew. Math. Mech. 76, Suppl. 1: 119-122, 1996.
doi:10.1002/zamm.19960761105
-
P. Arbenz and I. Slapničar:
"On
an Implementation of a One-sided Block Jacobi Method on a Distributed Memory
Computer". Z.
Angew. Math. Mech. 76, Suppl. 1: 343-344, 1996.
doi:10.1002/zamm.19960761109
-
P. Arbenz and I. Slapničar:
"An
analysis of parallel implementations of the block-Jacobi algorithm for
computing the SVD".
Proceedings of the 17th International Conference on Information
Technology Interfaces.
Kalpić, D.; Hljuz-Dobrić, V. (eds). pp. 343-348, 1995.
-
P. Arbenz and G.H. Golub: "Matrix Shapes Invariant under the Symmetric QR Algorithm",
Numerical
Linear Algebra with Applications 2: 87-93 (1995)
doi:10.1002/nla.1680020203.
-
P. Kolm, P. Arbenz,
and W. Gander: "Generalized Subspace Correction Methods for the Solution
of Linear Systems". Technical Report 241, Institute of Scientific Computing,
ETH Zürich, October 1995.
Available from https://doi.org/10.3929/ethz-a-006651530.
-
T. Saito, K. Joe,
H. P. Lüthi,
P. Arbenz, A. Fukuda,
and K. Araki, "An
Analysis of the SCIDDLE Library on a Workstation Cluster: A Step Towards
The Next Generation of Supercomputing" in PDSC'95, Proceedings of
the International Symposium on Parallel and Distributed Supercomputing,
Fukuoka, Japan, September 1995, pp. 104-111.
-
V. Strumpen and P. Arbenz:
"Improving Scalability by Communication Latency Hiding", In: 7th SIAM
Conference on Parallel Processing for Scientific Computing, 778-779,
San Francisco, USA, February 1995, SIAM.
-
P. Arbenz, C. Sprenger,
H. P. Lüthi, S. Vogel: "SCIDDLE: A Tool for Large Scale Distributed Computing",
Concurrency:
Practice and Experience 7: 121-146, 1995.
doi:10.1002/cpe.4330070203
-
P. Arbenz:
"First Experiences with the Intel Paragon",
SPEEDUP J.
8: 53-58, 1994.
-
P. Arbenz and K. Gates:
"A Note on Divide and Conquer Algorithm for the Symmetric Tridiagonal Eigenvalue
Problem", Z.
Angew. Math. Mech. 74: T529-T531, 1994.
doi:10.1002/zamm.19940740604
-
L. Adams,
and P. Arbenz: "Towards a Divide and Conquer Algorithm for the Real
Nonsymmetric Eigenvalue Problem", SIAM
J. Matrix Anal. Appl. 15: 1333-1353, 1994.
doi:10.1137/S089547989122017X.
-
P. Arbenz,
H. P. Lüthi,
C. Sprenger,
S. Vogel: "SCIDDLE: A Tool for Large Scale Cooperative Computing",
In: High-Performance Computing and Networking. W. Gentzsch,
U. Harms (eds.).
Lecture Notes in Computer Science 797, pp. 326-327.
Springer, Berlin, 1994.
-
P. Arbenz: "Divide and Conquer Algorithms for the Bandsymmetric
Eigenvalue Problem", Parallel
Comput. 18: 1105-1128, 1992.
-
P. Arbenz and G.
H. Golub: "QR-like Algorithms for Symmetric Arrow Matrices", SIAM
J. Matrix Anal. Appl. 13: 655-658, 1992.
doi:10.1137/0613039.
-
P. Arbenz, K. Gates, C. Sprenger:
"A parallel implementation of the symmetric tridiagonal QR algorithm".
In: Proceedings of the Fourth Symposium on the Frontiers of Massively
Parallel Computation, H. J. Siegel (ed.), pp. 382-388. IEEE Computer
Society, Washington, DC, 1992.
doi:10.1109/FMPC.1992.234936
-
P. Arbenz, H. P. Lüthi, J. E. Mertz, and W. Scott: "Applied
Distributed Supercomputing in Homogeneous Networks",
Internat.
J. High Speed Comput. 4: 87-108, 1992.
doi:10.1142/S0129053392000031
-
P. Arbenz, M. Oettli:
"Block implementations of the symmetric QR and Jacobi algorithms."
In:
Parallel Processing: CONPAR 92-VAPP V.
Lecture Notes in Computer Science 634, pp. 827-828.
Springer, Berlin, 1992.
doi:10.1007/3-540-55895-0_509.
-
P. Arbenz:
"Computing Eigenvalues of Banded Symmetric Toeplitz Matrices".
SIAM J. Sci. Stat. Comput. 12 (4): 743-754 (1991),
doi:10.1137/0912039.
-
P. Arbenz:
"Computing Eigenvalues of Banded Symmetric Toeplitz Matrices".
Z. Angew. Math. Mech. 70: T595-T597 (1990).
doi:10.1002/zamm.19900700604
-
P. Arbenz: "Divide-and-Conquer Algorithms for the Computation of
the SVD of Bidiagonal Matrices", In: Vector and Parallel Computing.
J. Dongarra, I. Duff, P. Gaffney, S. McKee (eds.). Ellis Horwood, 1989.
-
P. Arbenz and G.
H. Golub: "On the Spectral Decomposition of Hermitian Matrices
Modified by Low Rank Perturbations with Applications", SIAM
J. Matrix Anal. Appl. 9: 40-58, 1988.
doi:10.1137/0609004.
-
P. Arbenz, W. Gander, G.H. Golub:
"Restricted Rank Modification of the Symmetric Eigenvalue Problem: Theoretical
Considerations." Lin. Alg. Appl. 104: 75-95, 1988.
doi:10.1016/0024-3795(88)90309-6.
-
P. Arbenz, W. Gander:
"Solving Nonlinear Eigenvalue Problems by Algorithmic Differentiation."
Computing 36: 205-215, 1986.
doi:10.1007/BF02240067.
-
P. Arbenz: "Finite Element Interpolation Error Bounds with
Applications to Eigenvalue Problems".
J. Appl. Math. Phys. (ZAMP) 34: 180-191, 1983.
doi:10.1007/BF00944591.
-
P. Arbenz: "Computable Finite Element Error Bounds for Poisson's
Equation".
IMA J. Numer. Anal. 2: 475-479, 1982.
doi:10.1093/imanum/2.4.475.
Last update: May 31, 2022