List of Publications of Walter M. Lioen

A BibTeX database file containing entries for the papers below is available.

[1]

W.M. Lioen. NUMVEC Fortran library manual, chapter: Elliptic PDEs, routine: MGZEB. Report NM-R8518, CWI, Amsterdam, July 1985. (Gzipped PostScript, 29628 bytes) (PDF, 72370 bytes)

[2]

H.J.J. te Riele, W.M. Lioen, and D.T. Winter. New factorization records on supercomputers. CWI Newsletter, (10):40-42, March 1986. (Gzipped PostScript, 2 pages, 275012 bytes) (PDF, 165504 bytes)

[3]

W. Hoffmann and W.M. Lioen. NUMVEC Fortran library manual, chapter: Simultaneous linear equations. Report NM-R8614, CWI, Amsterdam, May 1986. (Gzipped PostScript, 33505 bytes) (PDF, 122537 bytes)

[4]

W.M. Lioen. Multigrid methods for elliptic PDEs. In H.J.J. te Riele, Th.J. Dekker, and H.A. van der Vorst, editors, Algorithms and Applications on Vector and Parallel Computers, volume 3 of Special Topics in Supercomputing, pages 181-198, Amsterdam, 1987. North-Holland. (Gzipped PostScript, 42625 bytes) (PDF, 92102 bytes)

[5]

W.M. Lioen, M. Louter-Nool, and H.J.J. te Riele. Optimization of the real level 2 BLAS on the Cyber 205. In H.J.J. te Riele, Th.J. Dekker, and H.A. van der Vorst, editors, Algorithms and Applications on Vector and Parallel Computers, volume 3 of Special Topics in Supercomputing, pages 199-212, Amsterdam, 1987. North-Holland. (PDF, 1295002 bytes)

[6]

W.M. Lioen, H.J.J. te Riele, and D.T. Winter. Optimization of the MPQS-factoring algorithm on the Cyber 205 and the NEC SX-2. Supercomputer 26, V(4):42-50, July 1988. (Gzipped PostScript, 5 pages, 553187 bytes) (PDF, 353545 bytes)

[7]

H.J.J. te Riele, W.M. Lioen, and D.T. Winter. Factoring with the quadratic sieve on large vector computers. Journal of Computational and Applied Mathematics, 27(1&2):267-278, September 1989. (Gzipped PostScript, 36516 bytes) (PDF, 62860 bytes)

[8]

H.J.J. te Riele, W.M. Lioen, and D.T. Winter. Factorization beyond the googol with MPQS on a single computer. CWI Quarterly, 4(1):69-72, March 1991. (Gzipped PostScript, 4 pages, 309004 bytes) (PDF, 203570 bytes)

[9]

W.M. Lioen and D.T. Winter. Solving large dense systems of linear equations on systems with virtual memory and with cache. Applied Numerical Mathematics, 10(1):73-85, June 1992. (Gzipped PostScript, 34018 bytes) (PDF, 71290 bytes)

[10]

W.M. Lioen. Parallelizing a highly vectorized multigrid code with zebra relaxation. In Proceedings Supercomputing '92, Minneapolis, Minnesota, November 16-20, pages 180-189, Los Alamitos, 1992. IEEE Computer Society Press. (Gzipped PostScript, 49774 bytes) (PDF, 95350 bytes)

[11]

W.M. Lioen and J. van de Lune. De uitzonderingen bevestigen de regel. In P. van Emde Boas, P.W. Hemker, W. Hoffmann, P.J. van der Houwen, and P.R. Pfluger, editors, ``Is er nog nieuws?'', Amsterdam, November 27, 1992. UvA. (Gzipped PostScript, 13430 bytes) (PDF, 22361 bytes)

[12]

D.R. Heath-Brown, W.M. Lioen, and H.J.J. te Riele. On solving the diophantine equation x³ + y³ + z³ = k on a vector computer. Mathematics of Computation, 61(203):235-244, July 1993. (Gzipped PostScript, 10 pages, 602886 bytes) (PDF, 411002 bytes)

[13]

W.M. Lioen and M. Louter-Nool. EUVEL: An EULER Vector Extension Library. Report NM-R9318, CWI, Amsterdam, October 1993. (Gzipped PostScript, 9 pages, 383192 bytes) (PDF, 315753 bytes)

[14]

W.M. Lioen and J. van de Lune. Systematic computations on Mertens' conjecture and Dirichlet's divisor problem by vectorized sieving. In K.R. Apt, A. Schrijver, and N.M. Temme, editors, From Universal Morphisms to Megabytes: A Baayen Space Odyssey, pages 421-432, Amsterdam, December 20, 1994. CWI. (Gzipped PostScript, 12 pages, 722192 bytes) (PDF, 472823 bytes)

[15]

W. Hoffmann, W.M. Lioen, M. Louter-Nool, N. Petkov, H.J.J. te Riele, B.P. Sommeijer, H.A. van der Vorst, and D.T. Winter. Vectorisation and parallelisation of algorithms. In P.J.C. Aerts, W. Hoffmann, J.P. Hollenberg, J. van Lenthe, R. LLurba, N. Petkov, H.J.J. te Riele, H.J. Sips, and A.J. van der Steen, editors, Aspects of computational science: A text book on high-performance computing, chapter 5, pages 260-329. NCF, Den Haag, Spring 1995. (Gzipped PostScript, 74 pages, 762142 bytes) (PDF, 859343 bytes)

[16]

P.W. Hemker, B. Koren, W.M. Lioen, M. Nool, and H.T.M. van der Maarel. Multigrid for steady gas dynamics problems. In M. Hafez and K. Oshima, editors, Computational Fluid Dynamics Review 1995, pages 477-494, Chichester, 1995. Wiley. (Gzipped PostScript, 17 pages, 1218661 bytes) (PDF, 1284733 bytes)

[17]

W.M. Lioen. On the diagonal approximation of full matrices. Journal of Computational and Applied Mathematics, 75(1):35-42, November 12, 1996. (Gzipped PostScript, 8 pages, 632194 bytes) (PDF, 447843 bytes)

[18]

P.W. Hemker, B. Koren, W.M. Lioen, M. Nool, and H.T.M. van der Maarel. Multigrid for steady gas dynamics problems. In H. Deconinck and B. Koren, editors, Euler and Navier-Stokes Solvers Using Multi-Dimensional Upwind Schemes and Multigrid Acceleration, volume 57 of Notes on Numerical Fluid Mechanics, pages 393-417. Vieweg, Braunschweig, 1997. In essence, this paper was already published in  [16]. (Gzipped PostScript, 25 pages, 1191440 bytes) (PDF, 1192507 bytes)

[19]

J.J.B. de Swart and W.M. Lioen. Collecting real-life problems to test solvers for implicit differential equations. CWI Quarterly, 11(1):83-100, March 1998. (Gzipped PostScript, 18 pages, 705786 bytes) (PDF, 568458 bytes)

[20]

J.G. Blom, W.M. Lioen, and J.G. Verwer. HPCN and air quality modeling. In P. Sloot, M. Bubak, and B. Hertzberger, editors, High-Performance Computing and Networking: International Conference and Exhibition, Amsterdam, The Netherlands, April 21-23, 1998; Proceedings, volume 1401 of Lecture Notes in Computer Science, pages 141-150, Berlin, 1998. Springer. (Gzipped PostScript, 10 pages, 449140 bytes) (PDF, 342669 bytes)

[21]

W.M. Lioen and J.J.B. de Swart. Test set for Initial Value Problem solvers. Report MAS-R9832, CWI, Amsterdam, December 9, 1998. Latest revision always available via url http://www.cwi.nl/cwi/projects/IVPtestset/. (Gzipped PostScript, 171 pages, 1474646 bytes) (PDF, 2092206 bytes)

[22]

J.J.B. de Swart, W.M. Lioen, and W.A. van der Veen. Specification of PSIDE. Report MAS-R9833, CWI, Amsterdam, December 15, 1998. (Gzipped PostScript, 15 pages, 793823 bytes) (PDF, 644623 bytes)

[23]

W.M. Lioen, J.J.B. de Swart, and W.A. van der Veen. PSIDE users' guide. Report MAS-R9834, CWI, Amsterdam, December 15, 1998. (Gzipped PostScript, 17 pages, 510075 bytes) (PDF, 420172 bytes)

[24]

P.J.F. Berkvens, M.A. Botchev, W.M. Lioen, and J.G. Verwer. A zooming technique for wind transport of air pollution. In R. Vilsmeier, F. Benkhaldoun, and D. Hänel, editors, Finite Volumes for Complex Applications II: Problems and Perspectives, pages 499-506, Paris, 1999. Hermès Science Publications. (Gzipped PostScript, 8 pages, 547278 bytes) (PDF, 785003 bytes)

[25]

S. Cavallar, B. Dodson, A.K. Lenstra, P.C. Leyland, W.M. Lioen, P.L. Montgomery, B.A. Murphy, H.J.J. te Riele, and P. Zimmermann. Factorization of RSA-140 using the number field sieve. In K.Y. Lam, E. Okamoto, and C. Xing, editors, Advances in Cryptology -- Asiacrypt '99, volume 1716 of Lecture Notes in Computer Science, pages 195-207, Berlin, 1999. Springer. (Gzipped PostScript, 13 pages, 629976 bytes) (PDF, 455430 bytes)

[26]

S. Cavallar, B. Dodson, A.K. Lenstra, W.M. Lioen, P.L. Montgomery, B.A. Murphy, H.J.J. te Riele, K. Aardal, J. Gilchrist, G. Guillerm, P.C. Leyland, J. Marchand, F. Morain, A. Muffett, C. Putnam, C. Putnam, and P. Zimmermann. Factorization of a 512-bit RSA modulus. In B. Preneel, editor, Advances in Cryptology -- EUROCRYPT 2000, volume 1807 of Lecture Notes in Computer Science, pages 1-18, Berlin, 2000. Springer. (Gzipped PostScript, 18 pages, 681086 bytes) (PDF, 496017 bytes)