## Stig Skelboe## Professor, Dr. Techn. |

- Scientific computing and numerical mathematics
- Computer architecture, parallel computers
- Hardware/software interface, high performance computing

Member of the Editorial Board of BIT Numerical Mathematicis since 1984.

- Parallel Scientific Programming (Ph.D.)
- Advanced computer architecture (graduate)

S. Skelboe: "Adaptive partitioning techniques for index 1 IDEs", BIT Numerical Mathematics ISSN 0006-3835 (Print) 1572-9125 (Online) DOI: 10.1007/s10543-010-0258-4

Dan Erik Petersen, Hans Henrik B. Sørensen, Per Christian Hansen,
Stig Skelboe and Kurt Stokbro:
*Block tridiagonal matrix inversion and fast transmission calculations*,
Journal of Computational Physics, Volume 227, Issue 6 (2008),
Pages 3174-3190.

Hans Henrik B. Sørensen, Per Christian Hansen, Dan Erik Petersen,
Stig Skelboe, Kurt Stokbro:
*Krylov subspace method for evaluating the self-energy matrices in electron
transport calculations*,
Phys. Rev. B 77, 155301 (2008) [12 pages].

S. Skelboe,
*Adaptive partitioning techniques for ordinary differential equations*,
BIT Numerical Mathematics 2006 issue in memory of Germund Dahlquist (1925-2005),
Volume 46 (2006), Number 3, pp. 617-629.

S. Skelboe,
*Partitioning Techniques for ODEs for Decoupled Implicit Intergration
Formulas,*
DIKU Technical Report no. 05/04, 2005, ISSN: 0107-8283.

S. Skelboe,
*Accuracy of decoupled implicit integration formulas*,
SIAM Journal on Scientific Computing,
Volume 21 (2000), Number 6, pp. 2206-2224

S. Skelboe,
*Integration of partitioned stiff systems of
ordinary differential equations*,
Proceedings of Workshop on Applied
Parallel Computing in Industrial Problems and Optimization (PARA '96),
Lyngby, August 19-21, 1996. Springer Lecture Notes in Computer Science
Vol. 1184, pp. 621-630, Springer Verlag, Berlin, Tyskland, 1996.

S. Skelboe and Z. Zlatev,
*Exploiting the natural partitioning in the numerical solution of
ODE systems arising in atmospheric chemistry*,
Springer Lecture Notes in Computer Science, Proceedings
of the First Workshop on Numerical Analysis and Applications (WNNA-96),
Rousse, Bulgaria, June 24-27, 1996.

S. Skelboe,
*Methods for parallel integration of stiff systems of ODEs*,
BIT (1992), vol. 32, pp. 689 - 701.

J. Sand and S. Skelboe,
*Stability of backward Euler multirate
methods and convergence of waveform relaxation*,
BIT (1992), vol. 32,
pp. 350 - 366.

S. Skelboe,
*Parallel algorithms for a direct circuit simulator*,
Proc. 10th European Conference on Circuit Theory and Design, Copenhagen,
Denmark, September 2-6, 1991, Vol. 1, pp. 314 -- 323.

S. Skelboe, *A parallel implementation of ESACAP*,
Proc. 5th Distributed Memory Computer Conference, Charleston,
South Carolina, U.S.A., April 9-12, 1990, Vol. 1, pp. 585 - 594.

I. N. Hajj and S. Skelboe,
*A multilevel parallel solver for block
tridiagonal and banded linear systems*,
Parallel Computing, vol. 15(1990), No. 1-3, pp. 21-45.

S. Skelboe, *Time-domain steady-state analysis of linear
electrical systems*, Proceedings of the IEEE, vol. 70 (1982), pp.
1210 - 1228. Review paper of the Doctor Technices dissertation.

S. Skelboe,
*Computation of the periodic steady-state response of nonlinear
networks by extrapolation methods*, IEEE Trans. Circuits and
Systems, vol. CAS-27 (1980), pp. 161 - 175. Reprinted in Selected Papers on
Computer-Aided Design of Analog Networks, Edited by J. Vlach and K. Singhal,
IEEE press, 1986. 1980 Guillemin-Cauer Prize Paper Award og 1982 Browder J.
Thompson Memorial Prize Award.

S. Skelboe,
*Implementation of Chebyshevian linear multistep
formulas*, BIT (1980), vol. 20, pp. 356-366.

S. Skelboe,
*The control of order and steplength for backward
differentiation methods*, BIT (1977), vol. 17, pp. 91 - 107.

S. Skelboe, *INTGR for integration of stiff systems of ordinary
differential equations*, Instituttet for Teleteknik, DTH, Report IT 9, March
1977.

The origin of the Moore-Skelboe algorithm is the following paper:

S. Skelboe,
*Computation of rational interval functions*,
BIT (1974), vol. 14, pp. 87 - 95.