Bergische Universität Wuppertal
Fakultät für Mathematik und Naturwissenschaften
Angewandte Informatik - Algorithmik    and    IMACM

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Research
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Bruno Lang's publications and preprints

[1] Valeriy Manin and Bruno Lang. Efficient parallel reduction of bandwidth for symmetric matrices. Parallel Comput., 115:102998:1-10, 2023. [ DOI | Abstract ]
[2] Pascal R. Bähr, Bruno Lang, Peer Ueberholz, Marton Ady, and Roberto Kersevan. Development of a hardware-accelerated simulation kernel for ultra-high vacuum with Nvidia RTX GPUs. Int. J. High Perform. Comput. Appl., 36(2):141-152, 2022. [ DOI | Abstract ]
[3] Sarah Huber, Yasunori Futamura, Martin Galgon, Akira Imakura, Bruno Lang, and Tetsuya Sakurai. Flexible subspace iteration with moments for an effective contour integration-based eigensolver. Numer. Linear Algebra Appl., 29:e2447:1-15, 2022. [ DOI | Abstract ]
[4] Bruno Lang. Space-partitioned ND-trees for the dynamic nondominance problem. IEEE Trans. Evol. Comput., 26(4):1004-1014, October 2022. [ DOI | Abstract ]
[5] Onur T. Doganay, Kathrin Klamroth, Bruno Lang, Michael Stiglmayr, and Claudia Totzeck. Modeling minimum cost network flows with port-Hamiltonian systems. Proc. Appl. Math. Mech., 2022. [ DOI | Abstract ]
[6] Kathrin Klamroth, Bruno Lang, and Michael Stiglmayr. Efficient dominance filtering for unions and Minkowski sums of non-dominated sets. 2022. [ Abstract ]
[7] Karsten Kahl and Bruno Lang. Hypergraph edge elimination-a symbolic phase for hermitian eigensolvers based on rank-1 modifications. Electron. Trans. Numer. Anal., 54:51-67, 2021. [ DOI | Abstract ]
[8] Martin Puschmann, Daniel Hernangómez-Pérez, Bruno Lang, Soumya Bera, and Ferdinand Evers. Quartic multifractality and finite-size corrections at the spin quantum Hall transition. Phys. Rev. B, 103:235167:1-16, 2021. [ DOI | Abstract ]
[9] Valeriy Manin and Bruno Lang. Cannon-type triangular matrix multiplication for the reduction of generalized HPD eigenproblems to standard form. Parallel Comput., 91:102597:1-102597:14, March 2020. [ DOI | Abstract ]
[10] Kathrin Klamroth, Bruno Lang, Armin Seyfried, and Michael Stiglmayr. Network simulation for pedestrian flows with HyDEFS. Coll. Dyn., 5:1-16, 2020. [ DOI | Abstract ]
[11] Matthias Stosiek, Bruno Lang, and Ferdinand Evers. Self-consistent-field ensembles of disordered Hamiltonians: Efficient solver and application to superconducting films. Phys. Rev. B, 101(14):144503:1-144503:11, April 2020. [ DOI | Abstract ]
[12] Christie L. Alappat, Andreas Alvermann, Achim Basermann, Holger Fehske, Yasunori Futamura, Martin Galgon, Georg Hager, Sarah Huber, Akira Imakura, Masatoshi Kawai, Moritz Kreutzer, Bruno Lang, Kengo Nakajima, Melven Röhrig-Zöllner, Tetsuya Saturai, Faisal Shahzad, Jonas Thies, and Gerhard Wellein. ESSEX: Equipping sparse solvers for exascale. In Hans-Joachim Bungartz, Severin Reiz, Benjamin Uekermann, Philipp Neumann, and Wolfgang E. Nagel, editors, Software for Exascale Computing - SPPEXA 2016-2019, volume 136 of LNCSE, pages 143-187. Springer Nature Switzerland AG, Cham, 2020. [ DOI | Abstract ]
[13] Bruno Lang, Dorothee Müller, Holger Arndt, Andreas Bartel, Karsten Blankenagel, Hanno Gottschalk, Michael Günther, Ludger Humbert, Birgit Jacob, Kathrin Klamroth, Barbara Rüdiger, Britta Späth, Michael Stiglmayr, and Christian Wyss. Fachlichkeitsaspekte im Mathematik- und Informatik-Studium - Herausforderungen, Ansätze zur Berücksichtigung im Studienverlauf und Erfahrungen. In Michaela Heer and Ulrich Heinen, editors, Die Stimmen der Fächer hören - Fachprofil und Bildungsanspruch in der Lehrerbildung, pages 413-428. Verlag Ferdinand Schöningh, Paderborn, 2020. [ DOI | Abstract ]
[14] Hans-Joachim Bungartz, Christian Carbogno, Martin Galgon, Thomas Huckle, Simone Köcher, Hagen-Henrik Kowalski, Pavel Kus, Bruno Lang, Hermann Lederer, Valeriy Manin, Andreas Marek, Karsten Reuter, Michael Rippl, Matthias Scheffler, and Christoph Scheurer. ELPA: A parallel solver for the generalized eigenvalue problem. In Ian Foster, Gerard R. Joubert, Luděk Kučera, Wolfgang E. Nagel, and Frans Peters, editors, Parallel Computing: Technology Trends (Proc. ParCo2019, September 10-13, Prague), volume 36 of Advances in Parallel Computing, pages 647-668. IOS Press, Amsterdam, 2020. [ DOI | Abstract ]
[15] Bruno Lang. Efficient reduction of banded hermitian positive definite generalized eigenvalue problems to banded standard eigenvalue problems. SIAM J. Sci. Comput., 41(1):C52-C72, 2019. [ DOI | Abstract ]
[16] Andreas Alvermann, Achim Basermann, Hans-Joachim Bungartz, Christian Carbogno, Dominik Ernst, Holger Fehske, Yasunori Futamura, Martin Galgon, Georg Hager, Sarah Huber, Thomas Huckle, Akihiro Ida, Akira Imakura, Masatoshi Kawai, Simone Köcher, Moritz Kreutzer, Pavel Kus, Bruno Lang, Hermann Lederer, Valeriy Manin, Andreas Marek, Kengo Nakajima, Lydia Nemec, Karsten Reuter, Michael Rippl, Melven Röhrig-Zöllner, Tetsuya Sakurai, Matthias Scheffler, Christoph Scheurer, Faisal Shahzad, Danilo Simoes Brambila, Jonas Thies, and Gerhard Wellein. Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects. Japan J. Indust. Appl. Math., 36(2):699-717, 2019. [ DOI | Abstract ]
[17] Michael Rippl, Bruno Lang, and Thomas Huckle. Parallel eigenvalue computation for banded generalized eigenvalue problems. Parallel Comput., 88:102542, October 2019. [ DOI | Abstract ]
[18] Lukas Krämer and Bruno Lang. Convergence of integration-based methods for the solution of standard and generalized Hermitian eigenvalue problems. Electron. Trans. Numer. Anal., 48:183-201, 2018. [ DOI | Abstract ]
[19] Martin Galgon, Lukas Krämer, and Bruno Lang. Improving projection-based eigensolvers via adaptive techniques. Numer. Linear Algebra Appl., 25(1):e2124, January 2018. [ DOI | Abstract ]
[20] Martin Galgon, Sarah Huber, and Bruno Lang. Mixed precision in subspace iteration-based eigensolvers. Proc. Appl. Math. Mech., 18:e201800334, December 2018. [ DOI | Abstract ]
[21] Martin Galgon, Lukas Krämer, Bruno Lang, Andreas Alvermann, Holger Fehske, Andreas Pieper, Georg Hager, Moritz Kreutzer, Faisal Shahzad, Gerhard Wellein, Achim Basermann, Melven Röhrig-Zöllner, and Jonas Thies. Improved coefficients for polynomial filtering in ESSEX. In Tetsuya Sakurai, Shao-Liang Zhang, Toshiyuki Imamura, Yusaku Yamamoto, Yoshinobu Kuramashi, and Takeo Hoshi, editors, Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing. Proc. EPASA 2015, Tsukuba, Japan, September 2015, volume 117 of LNCSE. Springer International Publishing, Cham, 2017. [ DOI | Abstract ]
[22] Andreas Pieper, Moritz Kreutzer, Andreas Alvermann, Martin Galgon, Holger Fehske, Georg Hager, Bruno Lang, and Gerhard Wellein. High-performance implementation of Chebyshev filter diagonalization for interior eigenvalue computations. J. Comput. Phys., 325:226-243, 2016. [ DOI | Abstract ]
[23] Moritz Kreutzer, Jonas Thies, Andreas Pieper, Andreas Alvermann, Martin Galgon, Melven Röhrig-Zöllner, Faisal Shahzad, Achim Basermann, Alan R. Bishop, Holger Fehske, Georg Hager, Bruno Lang, and Gerhard Wellein. Performance engineering and energy efficiency of building blocks for large, sparse eigenvalue computations on heterogeneous supercomputers. In Hans-Joachim Bungartz, Philipp Neumann, and Wolfgang E. Nagel, editors, Software for Exascale Computing - SPPEXA 2013-2015, volume 113 of LNCSE, pages 317-338. Springer, Switzerland, 2016. [ DOI | Abstract ]
[24] Jonas Thies, Martin Galgon, Faisal Shahzad, Andreas Alvermann, Moritz Kreutzer, Andreas Pieper, Melven Röhrig-Zöllner, Achim Basermann, Holger Fehske, Georg Hager, Bruno Lang, and Gerhard Wellein. Towards an exascale enabled sparse solver repository. In Hans-Joachim Bungartz, Philipp Neumann, and Wolfgang E. Nagel, editors, Software for Exascale Computing - SPPEXA 2013-2015, volume 113 of LNCSE, pages 295-316. Springer, Switzerland, 2016. [ DOI | Abstract ]
[25] Martin Galgon, Lukas Krämer, Jonas Thies, Achim Basermann, and Bruno Lang. On the parallel iterative solution of linear systems arising in the FEAST algorithm for computing inner eigenvalues. Parallel Comput., 49:153-163, 2015. [ DOI | Abstract ]
[26] Lars Karlsson, Daniel Kressner, and Bruno Lang. Optimally packed chains of bulges in multishift QR algorithms. ACM Trans. Math. Software, 40(2):12:1-12:15, February 2014. [ DOI | Abstract ]
[27] A. Marek, V. Blum, R. Johanni, V. Havu, B. Lang, T. Auckenthaler, A. Heinecke, H.-J. Bungartz, and H. Lederer. The ELPA library: Scalable parallel eigenvalue solutions for electronic structure theory and computational science. J. Phys.: Condens. Matter, 26(21):213201, May 2014. [ DOI | Abstract ]
[28] Andreas Alvermann, Achim Basermann, Holger Fehske, Martin Galgon, Georg Hager, Moritz Kreutzer, Lukas Krämer, Bruno Lang, Andreas Pieper, Melven Röhrig-Zöllner, Faisal Shahzad, Jonas Thies, and Gerhard Wellein. ESSEX: Equipping sparse solvers for exascale. In Luís Lopes et al., editors, Euro-Par 2014: Parallel Processing Workshops, volume 8806 of LNCS, pages 577-588. Springer, 2014. [ DOI | Abstract ]
[29] Martin Galgon, Lukas Krämer, Bruno Lang, Andreas Alvermann, Holger Fehske, and Andreas Pieper. Improving robustness of the FEAST algorithm and solving eigenvalue problems from graphene nanoribbons. Proc. Appl. Math. Mech., 14(1):821-822, December 2014. [ DOI | Abstract ]
[30] Paul R. Willems and Bruno Lang. A framework for the MR3 algorithm: Theory and implementation. SIAM J. Sci. Comput., 35(2):A740-A766, 2013. [ DOI | Abstract ]
[31] Lukas Krämer, Edoardo Di Napoli, Martin Galgon, Bruno Lang, and Paolo Bientinesi. Dissecting the FEAST algorithm for generalized eigenproblems. J. Comput. Appl. Math., 244:1-9, May 2013. [ DOI | Abstract ]
[32] Andreas Marek, Volker Blum, Rainer Johanni, Ville Havu, Bruno Lang, Thomas Auckenthaler, Alexander Heinecke, Hans-Joachim Bungartz, and Hermann Lederer. The ELPA library - scalable parallel eigenvalue solutions for electronic structure theory and computational science. Scientific highlight of the month, Ψk (http://www.psi-k.net), December 2013. [ .pdf | Abstract ]
[33] Elke Just and Bruno Lang. Success-guided selection of expanded systems for result-verifying nonlinear solvers. Reliab. Comput., 16:73-83, March 2012. [ .pdf | Abstract ]
[34] Paul R. Willems and Bruno Lang. The MR3-GK algorithm for the bidiagonal SVD. Electron. Trans. Numer. Anal., 39:1-21, 2012. [ .pdf | Abstract ]
[35] Paul R. Willems and Bruno Lang. Twisted factorizations and qd-type transformations for the MR3 algorithm-new representations and analysis. SIAM J. Matrix Anal. Appl., 33(2):523-553, 2012. [ DOI | Abstract ]
[36] Paul R. Willems and Bruno Lang. Block factorizations and qd-type transformations for the MR3 algorithm. Electron. Trans. Numer. Anal., 38:363-400, 2011. [ .pdf | Abstract ]
[37] Xiaojun Chen, Andreas Frommer, and Bruno Lang. Computational existence proofs for spherical t-designs. Numer. Math., 117(2):289-305, February 2011. [ DOI | Abstract ]
[38] T. Auckenthaler, H.-J. Bungartz, T. Huckle, L. Krämer, B. Lang, and P. Willems. Developing algorithms and software for the parallel solution of the symmetric eigenvalue problem. J. Comput. Sci., 2(3):272-278, August 2011. [ DOI | Abstract ]
[39] T. Auckenthaler, V. Blum, H.-J. Bungartz, T. Huckle, R. Johanni, L. Krämer, B. Lang, H. Lederer, and P. R. Willems. Parallel solution of partial symmetric eigenvalue problems from electronic structure calculations. Parallel Comput., 37(12):783-794, December 2011. [ DOI | Abstract ]
[40] Martin Galgon, Lukas Krämer, and Bruno Lang. The FEAST algorithm for large sparse eigenvalue problems. Proc. Appl. Math. Mech., 11(1):747-748, December 2011. [ DOI | Abstract ]
[41] Thomas Beelitz, Bruno Lang, Peer Ueberholz, and Paul Willems. Closing the case t = 3 for 3-D spherical t-designs using a result-verifying nonlinear solver. Reliab. Comput., 14:66-77, June 2010. [ .pdf | Abstract ]
[42] Thomas Beelitz, Andreas Frommer, Bruno Lang, and Paul Willems. A framework for existence tests based on the topological degree and homotopy. Numer. Math., 111(4):493-507, February 2009. [ DOI | Abstract ]
[43] Martin Mönnigmann, Wolfgang Marquardt, Christian H. Bischof, Thomas Beelitz, Bruno Lang, and Paul Willems. A hybrid approach for efficient robust design of dynamic systems. SIAM Rev., 49(2):236-254, 2007. [ DOI | Abstract ]
[44] J. Bloch, A. Frommer, B. Lang, and T. Wettig. An iterative method to compute the sign function of a non-Hermitian matrix and its application to the overlap Dirac operator at nonzero chemical potential. Comput. Phys. Comm., 177(2):933-943, December 2007. [ DOI | Abstract ]
[45] Christian H. Bischof, H. Martin Bücker, Arno Rasch, Emil Slusanschi, and Bruno Lang. Automatic differentiation of the general-purpose computational fluid dynamics package FLUENT. ASME J. Fluids Engrg., 129(5):652-658, May 2007. [ DOI | Abstract ]
[46] Tina Erica Odaka, Vladen V. Melnikov, Per Jensen, Tsuneo Hirano, Bruno Lang, and Peter Langer. Theoretical study of the double Renner effect for A 2Π MgNC/MgCN: Higher excited rovibrational states. J. Chem. Phys., 126(9):094301, March 2007. [ DOI | Abstract ]
[47] Andreas Frommer and Bruno Lang. Fast and accurate multi-argument interval evaluation of polynomials. In Proc. SCAN 2006, 12th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, September 26-29, 2006, Duisburg, Germany, page 31. IEEE Computer Society, 2007. [ DOI | Abstract ]
[48] Andreas Frommer, Fatmir Hoxha, and Bruno Lang. Proving the existence of zeros using the topological degree and interval arithmetic. J. Comput. Appl. Math., 199(2):397-402, February 2007. [ DOI | Abstract ]
[49] Jacques Bloch, Tilo Wettig, Andreas Frommer, and Bruno Lang. An iterative method to compute the overlap Dirac operator at nonzero chemical potential. In Gunnar Bali et al., editors, Proc. Lattice 2007, XXVth Intl. Symp. Lattice Field Theory, July 30-August 4, 2007, Regensburg, Germany, Proceedings of Science, page 169, Trieste, Italy, 2007. SISSA. [ DOI | Abstract ]
[50] Ivo Kabadshow and Bruno Lang. Latency-optimized parallelization of the FMM near-field computations. In Yong Shi, Geert Dick van Albada, Jack Dongarra, and Peter M. A. Sloot, editors, Computational Science, Proc. ICCS 2007, 7th International Conference on Computational Science, May 27-30, 2007, Beijing, China, Part I, volume 4487 of LNCS, pages 716-722, Berlin, 2007. Springer-Verlag. [ DOI | Abstract ]
[51] Paul R. Willems, Bruno Lang, and Christof Vömel. Computing the bidiagonal SVD using multiple relatively robust representations. SIAM J. Matrix Anal. Appl., 28(4):907-926, 2006. [ DOI | Abstract ]
[52] Tatjana Eitrich and Bruno Lang. Efficient optimization of support vector machine learning parameters for unbalanced datasets. J. Comput. Appl. Math., 196(2):425-436, November 2006. [ DOI | Abstract ]
[53] Thomas Beelitz, Bruno Lang, and Christian H. Bischof. Efficient task scheduling in the parallel result-verifying solution of nonlinear systems. Reliab. Comput., 12(2):141-151, April 2006. [ DOI | Abstract ]
[54] Tatjana Eitrich and Bruno Lang. Data mining with parallel support vector machines for classification. In Tatyana Yakhno and Erich J. Neuhold, editors, Proc. ADVIS 2006, 4th Intl. Conf. on Advances in Information Systems, October 18-20, 2006, Izmir, Turkey, volume 4243 of LNCS, pages 197-206, Berlin, 2006. Springer-Verlag. [ DOI | Abstract ]
[55] Tatjana Eitrich and Bruno Lang. On the advantages of weighted L1-norm support vector learning for unbalanced binary classification problems. In Proc. IS'06, 3rd Intl. IEEE Conf. Intelligent Systems, September 4-6, 2006, University of Westminster, UK, pages 575-580. IEEE Computer Society, September 2006. [ DOI | Abstract ]
[56] Tatjana Eitrich and Bruno Lang. On the optimal working set size in serial and parallel support vector machine learning with the decomposition algorithm. In Peter Christen, Paul J. Kennedy, Jiuyong Li, Simeon J. Simoff, and Graham J. Williams, editors, Data Mining and Analytics 2006, Proc. Fifth Australasian Data Mining Conference (AusDM2006), November 29-30, 2006, Sydney, Australia, volume 61 of Conferences in Research and Practice in Information Technology (CRPIT), pages 121-128. Australian Computer Society, Inc., 2006. [ .html | Abstract ]
[57] Tatjana Eitrich, Wolfgang Frings, and Bruno Lang. HyParSVM-a new hybrid parallel software for support vector machine learning on SMP clusters. In Wolfgang E. Nagel, Wolfgang W. Walter, and Wolfgang Lehner, editors, Parallel Processing, Proc. Euro-Par 2006, 12th European Conference on Parallel Computing, August 29-September 1, 2006, Dresden, Germany, volume 4128 of LNCS, pages 350-359. Springer-Verlag, 2006. [ DOI | Abstract ]
[58] Tatjana Eitrich, Bruno Lang, and Achim Streit. Customizing the APPSPACK software for parallel parameter tuning of a hybrid parallel support vector machine. In Giuseppe Di Fatta, Michael R. Berthold, and Srinivasan Parthasarathy, editors, Proc. PDM 2006, Workshop on Parallel Data Mining in conjunction with ECML/PKDD 2006, September 18-22, 2006, Berlin, Germany, pages 38-50, 2006. [ Abstract ]
[59] Tatjana Eitrich and Bruno Lang. Parallel cost-sensitive support vector machine software for classification. In Ulrich H. E. Hansmann, Jan Meinke, Sandipan Mohanty, and Olav Zimmermann, editors, Proc. Workshop From Computational Biophysics to Systems Biology, June 06-09, 2006, Jülich, Germany, volume 34 of NIC Series, pages 141-144. John von Neumann Institute for Computing, Jülich, 2006. [ .pdf | Abstract ]
[60] Wolfgang Marquardt, Martin Mönnigmann, Thomas Beelitz, Bruno Lang, Paul Willems, and Christan H. Bischof. Robust design of dynamic systems. ECMI Newsletter, 39:15, March 2006. [ Abstract ]
[61] Andreas Frommer and Bruno Lang. Thematic section: Result-verifying computing. ECMI Newsletter, 39:5-18, March 2006. [ Abstract ]
[62] C. H. Bischof, H. M. Bücker, B. Lang, A. Rasch, and E. Slusanschi. Efficient and accurate derivatives for a software process chain in airfoil shape optimization. Future Gen. Comput. Syst., 21(8):1333-1344, October 2005. [ DOI | Abstract ]
[63] Andreas Frommer and Bruno Lang. Existence tests for solutions of nonlinear equations using Borsuk's theorem. SIAM J. Numer. Anal., 43(3):1348-1361, 2005. [ DOI | Abstract ]
[64] Benedikt Großer and Bruno Lang. On symmetric eigenproblems induced by the bidiagonal SVD. SIAM J. Matrix Anal. Appl., 26(3):599-620, 2005. [ DOI | Abstract ]
[65] Rainer Steiger, Christian H. Bischof, Bruno Lang, and Walter Thiel. Using automatic differentiation to compute derivatives of a quantum-chemical computer program. Future Gen. Comput. Syst., 21(8):1324-1332, October 2005. [ DOI | Abstract ]
[66] Tatjana Eitrich and Bruno Lang. Analysis of support vector machine training costs for large and unbalanced data from pharmaceutical industry. In Proc. 1st ICGST Intl. Conf. Artificial Intelligence and Machine Learning (AIML-05), December 19-21, 2005, Cairo, Egypt, pages 58-64. ICGST, 2005. [ Abstract ]
[67] Tatjana Eitrich and Bruno Lang. Parallel tuning of support vector machine learning parameters for large and unbalanced data sets. In Michael R. Berthold, Robert Glen, Kai Diederichs, Oliver Kohlbacher, and Ingrid Fischer, editors, Computational Life Sciences: First International Symposium, CompLife 2005, Konstanz, Germany, September 25-27, Proceedings, volume 3695 of LNBI, pages 253-264, Heidelberg, 2005. Springer-Verlag. [ DOI | Abstract ]
[68] Jens Gräbel, Bruno Lang, and Peer Ueberholz. Performance optimization for the parallel Gauss-Seidel smoother. Proc. Appl. Math. Mech., 5(1):831-832, 2005. [ DOI | Abstract ]
[69] Thomas Beelitz, Andreas Frommer, Bruno Lang, and Paul Willems. Symbolic-numeric techniques for solving nonlinear systems. Proc. Appl. Math. Mech., 5(1):705-708, December 2005. [ DOI | Abstract ]
[70] A. Frommer, B. Lang, and M. Schnurr. A comparison of the Moore and Miranda existence tests. Computing, 72(3-4):349-354, June 2004. [ DOI | Abstract ]
[71] Thomas Beelitz, Christian Bischof, Bruno Lang, and Klaus Schulte Althoff. Result-verifying solution of nonlinear systems in the analysis of chemical processes. In René Alt, Andreas Frommer, R. Baker Kearfott, and Wolfram Luther, editors, Numerical Software with Result Verification - Proc. Intl. Dagstuhl Seminar, January 19-24, 2003, Dagstuhl Castle, Germany, number 2991 in LNCS, pages 198-205. Springer, Berlin, 2004. [ DOI | Abstract ]
[72] Stefanie Krivsky and Bruno Lang. Using interval arithmetic for determining the structure of convex hulls. Numer. Algorithms, 37(1-4):233-240, December 2004. [ DOI | Abstract ]
[73] Thomas Beelitz, Christian H. Bischof, and Bruno Lang. A hybrid subdivision strategy for result-verifying nonlinear solvers. Proc. Appl. Math. Mech., 4:632-633, 2004. [ DOI | Abstract ]
[74] Andreas Frommer and Bruno Lang. On preconditioners for the Borsuk existence test. Proc. Appl. Math. Mech., 4:638-639, 2004. [ DOI | Abstract ]
[75] H. Martin Bücker, Bruno Lang, Hans-Joachim Pflug, and Andre Vehreschild. Threads in an undergraduate course: A Java example illuminating different multithreading approaches. In A. Laganà, M. L. Gavrilova, V. Kumar, Y. Mun, C. J. K. Tan, and O. Gervasi, editors, Computational Science and Its Applications - ICCSA 2004, Proc. Intl. Conf. Computational Science and its Applications, Assisi, Italy, May 14-17, 2004. Part II, number 3044 in LNCS, pages 882-891. Springer, Berlin, 2004. [ DOI | Abstract ]
[76] Thomas Beelitz, Christian H. Bischof, Bruno Lang, and Paul Willems. SONIC-A framework for the rigorous solution of nonlinear problems. Report BUW-SC 04/7, Fachbereich Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, 2004. [ Preprint | Abstract ]
[77] Benedikt Großer and Bruno Lang. An O( n2 ) algorithm for the bidiagonal SVD. Linear Algebra Appl., 358(1-3):45-70, January 2003. [ DOI | Abstract ]
[78] Christian H. Bischof, H. Martin Bücker, Bruno Lang, and Arno Rasch. An interactive environment for supporting the paradigm shift from simulation to optimization. Scientific Prog., 11(4):263-272, 2003. [ DOI | Abstract ]
[79] Christian H. Bischof, H. Martin Bücker, Bruno Lang, and Arno Rasch. Automated gradient calculation. In Josef Ballmann, editor, Flow Modulation and Fluid-Structure Interaction at Airplane Wings, number 84 in Notes on Numerical Fluid Mechanics and Multidisciplinary Design, pages 205-224. Springer, Berlin, 2003. [ DOI | Abstract ]
[80] C. H. Bischof, H. M. Bücker, B. Lang, A. Rasch, and J. W. Risch. Extending the functionality of the general-purpose finite element package SEPRAN by automatic differentiation. Int. J. Numer. Meth. Engng., 58(14):2225-2238, December 2003. [ Abstract ]
[81] H. M. Bücker, B. Lang, and C. H. Bischof. Parallel programming in computational science: An introductory practical training course for computer science at Aachen University. Future Gen. Comput. Syst., 19(8):1309-1319, November 2003. [ DOI | Abstract ]
[82] Christian H. Bischof, H. Martin Bücker, Bruno Lang, and Arno Rasch. Solving large-scale optimization problems with EFCOSS. Advances Engrg. Software, 34(10):633-639, October 2003. [ DOI | Abstract ]
[83] Stefanie Krivsky and Bruno Lang. Verified computation of higher-dimensional convex hulls and the solution of linear systems. Electron. J. Math. Comput., 1:21-35, March 2003. [ Abstract ]
[84] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. Automatic parallelism in differentiation of Fourier transforms. In Chin-Cheng Hung, Henry Hexmoor, et al., editors, Proc. 2003 ACM Symposium on Applied Computing (SAC 2003), March 9-12, 2003, Melbourne, FL, pages 148-152, New York, NY, 2003. Assoc. Comput. Mach. [ DOI | Abstract ]
[85] H. Martin Bücker, Bruno Lang, Hans-Joachim Pflug, and Andreas Wolf. A hybrid MPI-OpenMP implementation of the conjugate gradient method in Java. In Dieter an Mey, editor, Proc. EWOMP '03, Fifth European Workshop on OpenMP, September 22-26, 2003, Aachen, Germany, pages 205-213, Aachen, Germany, 2003. Center for Computing and Communication, Aachen University. [ Abstract ]
[86] Christian H. Bischof, Bruno Lang, and Andre Vehreschild. Automatic differentiation for MATLAB programs. Proc. Appl. Math. Mech., 2(1):50-53, March 2003. Proc. GAMM-Jahrestagung, March 25-28, 2002, Augsburg, Germany. [ DOI | Abstract ]
[87] Thomas Beelitz, Christian H. Bischof, and Bruno Lang. Intervals and OpenMP: Towards an efficient parallel result-verifying nonlinear solver. In Dieter an Mey, editor, Proc. EWOMP '03, Fifth European Workshop on OpenMP, September 22-26, 2003, Aachen, Germany, pages 119-125, Aachen, Germany, 2003. Center for Computing and Communication, Aachen University. [ Abstract ]
[88] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. Computing sensitivities of the electrostatic potential by automatic differentiation. Comput. Phys. Comm., 147(1-2):720-723, August 2002. [ DOI | Abstract ]
[89] Christian H. Bischof, H. Martin Bücker, and Bruno Lang. Automatic differentiation for computational finance. In Erricos John Kontoghiorghes, Berç Rustem, and Stavros Siokos, editors, Computational Methods in Decision-Making, Economics and Finance Proc., Neuchâtel, August 16, 2000, chapter 15, pages 297-310. Kluwer Academic Publishers, Dordrecht, The Netherlands, 2002. [ DOI | Abstract ]
[90] C. H. Bischof, H. M. Bücker, B. Lang, A. Rasch, and A. Vehreschild. Combining source transformation and operator overloading techniques to compute derivatives for MATLAB programs. In Proc. 2nd IEEE Intl. Workshop on Source Code Analysis and Manipulation (SCAM 2002), October 1, 2002, Montreal, Canada, pages 65-72. IEEE Computer Society, November 2002. [ DOI | Abstract ]
[91] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. Computation of sensitivity information for aircraft design by automatic differentiation. In Peter M. A. Sloot, C. J. Kenneth Tan, Jack J. Dongarra, and Alfons G. Hoekstra, editors, Computational Science - ICCS 2002 International Conference, April 21-24, 2002, Amsterdam, The Netherlands, Proceedings, Part II, number 2330 in LNCS, pages 1069-1076, Berlin, 2002. Springer-Verlag. [ DOI | Abstract ]
[92] H. Martin Bücker, Bruno Lang, Dieter an Mey, Arno Rasch, and Christian H. Bischof. Explicit loop scheduling in OpenMP for parallel automatic differentiation. In Jalal N. Almhana and C. Bhavsar Virendrakumar, editors, Proc. 16th Annual International Symposium on High Performance Computing Systems and Applications (HPCS 2002), Moncton, Canada, June 16-19, 2002, pages 121-126, Los Alamitos, CA, 2002. IEEE Computer Society. [ DOI | Abstract ]
[93] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. Sensitivity analysis of an airfoil simulation using automatic differentiation. In M. H. Hamza, editor, Proc. International IASTED Conference on Modelling, Identification, and Control (MIC 2002), Innsbruck, Austria, February 18-21, 2002, pages 73-76, Anaheim, CA, 2002. ACTA Press. [ Abstract ]
[94] H. Martin Bücker, Bruno Lang, Dieter an Mey, and Christian H. Bischof. Bringing together automatic differentiation and OpenMP. In M. Furnari and E. Gallopoulos, editors, Proceedings International Conference on Supercomputing, ICS 2001, Sorrento, Italy, June 17-21, 2001, pages 246-251, New York, NY, 2001. ACM Press. [ DOI | Abstract ]
[95] Bruno Lang. A comparison of techniques for evaluating centered forms. In Ulrich Kulisch, Rudolf Lohner, and Axel Facius, editors, Perspectives on Enclosure Methods, pages 149-155. Springer-Verlag, Wien, 2001. [ Abstract ]
[96] Christian H. Bischof, H. Martin Bücker, Bruno Lang, Arno Rasch, and Jakob W. Risch. A CORBA-based environment for coupling large-scale simulation and optimization software. In H. R. Arabnia, editor, Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, PDPTA'2001, Las Vegas, Nevada, June 25-28, 2001, volume 1, pages 68-72. CSREA Press, 2001. [ Abstract ]
[97] Bruno Lang. Derivative-based subdivision in multi-dimensional verified Gaussian quadrature. In Götz Alefeld, Jiři Rohn, Siegfried Rump, and Tetsuro Yamamoto, editors, Symbolic Algebraic Methods and Verification Methods, pages 145-152, Wien, 2001. Springer-Verlag. [ DOI | Abstract ]
[98] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. From analytic to automated derivatives: A case study of the electrostatic potential. In Algorithms and Software for Mobile Communications, Proc. 10th Aachen Symposium on Signal Theory, Aachen, Germany, September 20-21, 2001, pages 255-260, Berlin, 2001. VDE Verlag. [ Abstract ]
[99] Christian H. Bischof, H. Martin Bücker, Jörg Henrichs, and Bruno Lang. Hands-on training for undergraduates in high-performance computing using Java. In Tor Sørevik, Fredrik Manne, Randi Moe, and Assefaw Hadish Gebremedhin, editors, Applied Parallel Computing-New Paradigms for HPC in Industry and Academia, Proceedings 5th International Workshop, PARA 2000, Bergen, Norway, June 2000, volume 1947 of LNCS, pages 306-315, Berlin, 2001. Springer-Verlag. [ DOI | Abstract ]
[100] Christian H. Bischof, H. Martin Bücker, Bruno Lang, Arno Rasch, and Jakob W. Risch. On the use of a differentiated finite element package for sensitivity analysis. In Vassil N. Alexandrov, Jack J. Dongarra, Benjoe A. Juliano, René S. Renner, and C. J. Kenneth Tan, editors, Computational Science - ICCS 2001 International Conference San Francisco, CA, May 2001, Proceedings, Part I, volume 2073 of LNCS, pages 795-801, Berlin, 2001. Springer. [ DOI | Abstract ]
[101] H. Martin Bücker, Bruno Lang, and Christian H. Bischof. Teaching different parallel programming paradigms using Java. In Proceedings of the Third Annual Workshop on Java for High-Performance Computing, Sorrento, Italy, June 17, 2001, pages 73-81, 2001. [ Abstract ]
[102] Christian H. Bischof, Bruno Lang, Wolfgang Marquardt, and Martin Mönnigmann. Verified determination of singularities in chemical processes. In Walter Krämer and Jürgen Wolff von Gudenberg, editors, Scientific Computing, Validated Numerics, Interval Methods, pages 305-316, New York, 2001. Kluwer Academic/Plenum Publishers. [ Abstract ]
[103] Christian Bischof, Martin Bücker, Bruno Lang, and Arno Rasch. Automatic differentiation of the FLUENT CFD program: Procedure and first results. Report RWTH-CS-SC-01-22, RWTH Aachen, Institute for Scientific Computing, 2001.
[104] Christian H. Bischof, Bruno Lang, and Xiaobai Sun. A framework for symmetric band reduction. ACM Trans. Math. Software, 26(4):581-601, December 2000. [ DOI | Abstract ]
[105] Christian H. Bischof, Bruno Lang, and Xiaobai Sun. Algorithm 807: The SBR toolbox-software for successive band reduction. ACM Trans. Math. Software, 26(4):602-616, December 2000. [ DOI | Abstract ]
[106] Bruno Lang. Direct solvers for symmetric eigenvalue problems. In Johannes Grotendorst, editor, Modern Methods and Algorithms of Quantum Chemistry, Jülich, February 21-25, 2000, Proceedings, 2nd Edition, pages 231-259, Jülich, 2000. John von Neumann Institute for Computing. [ Abstract ]
[107] Bruno Lang. Out-of-core solution of large symmetric eigenproblems. Z. angew. Math. Mech., 80:S 809-S 810, 2000. [ Abstract ]
[108] Christian H. Bischof, H. Martin Bücker, Jörg Henrichs, and Bruno Lang. Software-Praktikum Paralleles Programmieren mit Java. Report RWTH-CS-SC-00-13, RWTH Aachen, Institute for Scientific Computing, 2000. [ Abstract ]
[109] Bruno Lang. Efficient eigenvalue and singular value computations on shared memory machines. Parallel Comput., 25(7):845-860, July 1999. [ DOI | Abstract ]
[110] Benedikt Großer and Bruno Lang. Efficient parallel reduction to bidiagonal form. Parallel Comput., 25(8):969-986, September 1999. [ DOI | Abstract ]
[111] Bruno Lang. A comparison of subdivision strategies for verified multi-dimensional Gaussian quadrature. In Tibor Csendes, editor, Developments in Reliable Computing - SCAN-98 Proceedings, pages 67-75, Dordrecht, The Netherlands, 1999. Kluwer Academic Publishers. [ DOI | Abstract ]
[112] Benedikt Großer and Bruno Lang. Using pentangular factorizations for the reduction to banded form. In P. Amestoy, P. Berger, M. Daydé, I. Duff, V. Frayssé, L. Giraud, and D. Ruiz, editors, EuroPar'99 Parallel Processing, volume 1685 of LNCS, pages 1088-1095, Berlin, 1999. Springer-Verlag. [ DOI | Abstract ]
[113] Rudolf Berrendorf, Christian Bischof, Holger Brunst, Martin Bücker, Ulrich Detert, Rüdiger Esser, Michael Gerndt, Johannes Grotendorst, Inge Gutheil, Hans-Christian Hoppe, Friedel Hoßfeld, Bernd Körfgen, Bruno Lang, Dieter an Mey, Bernd Mohr, Wolfgang E. Nagel, Karl Solchenbach, Godehard Sutmann, Valentina Tikko, and Lothar Wollschläger. Gekoppelte SMP-Systeme im wissenschaftlich-technischen Hochleistungsrechnen - Status und Entwicklungsbedarf (GoSMP). Analyse im Auftrag des BMBF, Zentralinstitut für Angewandte Mathematik, Forschungszentrum Jülich GmbH, Germany, December 1999. [ Abstract ]
[114] Bruno Lang. Efficient algorithms for reducing banded matrices to bidiagonal and tridiagonal form. In Peter Arbenz, Marcin Paprzycki, Ahmed Sameh, and Vivek Sarin, editors, High Performance Algorithms for Structured Matrix Problems, volume 2 of Advances in the Theory of Computation and Computational Mathematics, pages 75-89. Nova Science Publishers, Commack, NY, 1998. [ Abstract ]
[115] Bruno Lang. Using level 3 BLAS in rotation-based algorithms. SIAM J. Sci. Comput., 19(2):626-634, March 1998. [ DOI | Abstract ]
[116] Bruno Lang. Verified quadrature in determining Newton's constant of gravitation. J. Univers. Comput. Sci., 4(1):16-24, 1998. [ DOI | Abstract ]
[117] Bruno Lang. Effiziente Orthogonaltransformationen bei der Eigen- und Singulärwertberechnung. Habilitationsschrift, Fachbereich Mathematik, Bergische Universität GH Wuppertal, Germany, 1997. [ Abstract ]
[118] Bruno Lang. Using level 3 BLAS in the QR algorithm. Z. angew. Math. Mech., 77(S2):S 607-S 608, 1997. [ DOI | Abstract ]
[119] Bruno Lang. Parallel reduction of banded matrices to bidiagonal form. Parallel Comput., 22(1):1-18, January 1996. [ DOI | Abstract ]
[120] Oliver Holzmann, Bruno Lang, and Holger Schütt. Newton's constant of gravitation and verified numerical quadrature. Reliab. Comput., 2(3):229-239, November 1996. [ DOI | Abstract ]
[121] Bruno Lang. Reduction of banded matrices to bidiagonal form. Z. angew. Math. Mech., 76(Supplement 1: ICIAM/GAMM 95 Proceedings):155-158, 1996. [ DOI | Abstract ]
[122] Götz Alefeld, Andreas Frommer, and Bruno Lang, editors. Scientific Computing and Validated Numerics - SCAN-95 Proceedings, volume 90 of Mathematical Research, Berlin, 1996. Akademie Verlag. [ Abstract ]
[123] Bruno Lang. Verifizierte Lösung von Gleichungs- und Ungleichungssystemen. Z. angew. Math. Mech., 75(S II):S541-S542, 1995. [ Abstract ]
[124] Christian H. Bischof, Bruno Lang, and Xiaobai Sun. Parallel tridiagonalization through two-step band reduction. In Proceedings of the Scalable High-Performance Computing Conference, Knoxville, Tennessee, May 23-25, 1994, pages 23-27, Los Alamitos, CA, 1994. IEEE Computer Society. [ DOI | Abstract ]
[125] Bruno Lang. Parallele Berechnung von Eigensystemen symmetrischer Bandmatrizen. Z. angew. Math. Mech., 74(6):T541-T544, 1994. [ DOI | Abstract ]
[126] Bruno Lang. A parallel algorithm for reducing symmetric banded matrices to tridiagonal form. SIAM J. Sci. Comput., 14(6):1320-1338, November 1993. [ DOI | Abstract ]
[127] Bruno Lang. Reducing symmetric banded matrices to tridiagonal form-A comparison of a new parallel algorithm with two serial algorithms on the iPSC/860. In L. Bougé, M. Cosnard, Y. Robert, and D. Trystram, editors, Parallel Processing: CONPAR 92-VAPP V - Proceedings Second Joint International Conference on Vector and Parallel Processing, Lyon, France, September 1992, volume 634 of LNCS, pages 271-282, Berlin, 1992. Springer-Verlag. [ DOI | Abstract ]
[128] Bruno Lang. Parallele Reduktion symmetrischer Bandmatrizen auf Tridiagonalgestalt. Dissertation, Fakultät für Mathematik, Universität Karlsruhe, Germany, 1991. [ Abstract ]
[129] Bruno Lang. Matrix vector multiplication for symmetric matrices on parallel computers and applications. Z. angew. Math. Mech., 71(6):T807-T808, 1991. [ DOI | Abstract ]
[130] Stephan Abramowski, Bruno Lang, and Heinrich Müller. Moving regular k-gons in contact. In J. van Leeuwen, editor, Graph-Theoretic Concepts in Computer Science, International Workshop WG '88 Proceedings, Amsterdam, June 15-17, 1988, volume 344 of LNCS, pages 229-242, Berlin, 1989. Springer-Verlag. [ DOI | Abstract ]



University of Wuppertal
School of Mathematics and Natural Sciences
Department of Mathematics and Informatics
Applied Computer Science Group
 IMACM 

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