Peter Arbenz: Publications

  1. 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.
  2. 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,
  3. 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
  4. 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
  5. 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.
  6. 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.
  7. 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
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. D. Obrist, R. Henniger, P. Arbenz: "Parallelization of the time integration for time-periodic flow problems". Proc. Appl. Math. Mech. 10 (1): 567-568 (2010), doi:10.1002/pamm.201010276.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. P. Arbenz, R. Müller: "Microstructural Finite Element Analysis of Human Bone Structures". ERCIM News 74, pp. 31-32, July 2008.
  37. 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.
  38. 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.
  39. 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.
  40. 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.
  41. 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
  42. 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
  43. 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.
  44. 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).
  45. 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).
  46. 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).
  47. 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).
  48. P. Arbenz and R. Geus: "Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems". Appl. Numer. Math. 54 (2): 107-121 (2005).
  49. 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.
  50. 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.
  51. 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.
  52. 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).
  53. 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.
  54. 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).
  55. 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.
  56. 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)
  57. P. Arbenz, R. Geus, and St. Adam: Solving Maxwell Eigenvalue Problems for Accelerating Cavities, Phys. Rev. ST Accel. Beams, 4: 022001, 2001, doi:10.1103/PhysRevSTAB.4.022001.
  58. 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)
  59. 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).
  60. 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.
  61. 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).
  62. 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
  63. 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)
  64. 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).
  65. 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.
  66. 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.
  67. 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)
  68. 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.
  69. 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)
  70. 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)
  71. 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)
  72. 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)
  73. 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
  74. P. Arbenz and I. Slapnicar: "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
  75. P. Arbenz and G. H. Golub : "Matrix Shapes Invariant under the Symmetric QR Algorithm", Numerical Linear Algebra with Applications 2: 87-93, 1995.
  76. 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.
  77. 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.
  78. 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
  79. 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
  80. 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.
  81. 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.
  82. P. Arbenz: "Divide and Conquer Algorithms for the Bandsymmetric Eigenvalue Problem", Parallel Comput. 18: 1105-1128, 1992.
  83. 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.
  84. 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.
  85. 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.
  86. P. Arbenz: "Computing Eigenvalues of Banded Symmetric Toeplitz Matrices". SIAM J. Sci. Stat. Comput. 12 (4): 743-754 (1991), doi:10.1137/0912039.
  87. P. Arbenz: "Computing Eigenvalues of Banded Symmetric Toeplitz Matrices". Z. Angew. Math. Mech. 70: T595-T597 (1990). doi:10.1002/zamm.19900700604
  88. 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.
  89. 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.
  90. 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.
  91. P. Arbenz, W. Gander: "Solving Nonlinear Eigenvalue Problems by Algorithmic Differentiation." Computing 36: 205-215, 1986. doi:10.1007/BF02240067.
  92. 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.
  93. 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: Nov 16, 2016