Publications

A. Tveito, G. T. Lines, R. Artebrant, O. Skavhaug, and M. Maleckar. Existence of excitation waves for a collection of cardiomyocytes electrically coupled to fibroblasts, Mathematical Biosciences(230(2)):79-86, 2011.

A. Tveito, G. T. Lines, O. Skavhaug, and M. Maleckar. Unstable eigenmodes as possible drivers for cardiac arrhythmias, Journal of the Royal Society Interface 8(61):1212-6, 2011.

A. Tveito, O. Skavhaug, G. T. Lines, and R. Artebrant. Computing the stability of steady-state solutions of mathematical models of the electrical activity in the heart, Mathematical Biosciences and Engineering 41(8):611-618, 2011.

O. Skavhaug. Using Python for Scientific Computing, CBC Seminar on advanced use of Python programming language, 2010.

A. Tveito, G. T. Lines, M. Maleckar, and O. Skavhaug. Simplified mathematical models of defibrillation, In: Conference Abstracts, VPH 2010, pp. 367-9, Virtual Physiological Human Network of Excellence, VPH NOE, 2010.

M. S. Alnæs, A. Logg, Kent-A. Mardal, O. Skavhaug, and H. P. Langtangen. Unified Framework for Finite Element Assembly, International Journal of Computational Science and Engineering 4(4):231-244, 2009.

J. Sundnes, R. Artebrant, O. Skavhaug, and A. Tveito. A second order algorithm for solving dynamic cell membrane equations, IEEE Transactions on Biomedical Engineering 56(10):2546-2548, 2009.

B. F. Nielsen, O. Skavhaug, and A. Tveito. Penalty methods for the numerical solution of American multi-asset option problems, Journal of Computational and Applied Mathematics 222(1):3-16, 2008.

M. MacLachlan, J. Sundnes, O. Skavhaug, O. M. Lysaker, B. F. Nielsen, and A. Tveito. A linear system of partial differential equations modeling the resting potential of a heart with regional ischemia, Mathematical Biosciences 210(1):238--252, 2007.

Kent-A. Mardal, O. Skavhaug, G. T. Lines, G. A. Staff, and Å. Ødegård. Using Python to Solve Partial Differential Equations, Computing in Science & Engineering 9(3):48-51, 2007.

A. Logg, Kent-A. Mardal, M. S. Alnæs, H. P. Langtangen, and O. Skavhaug. A Hybrid Approach to Efficient Finite Element Code Development, In: Petascale Computing -- Algorithms and Applications, ed. by D. A. Bader. Chapman and Hall, chap. 19. Computational Science, 2007.

M. S. Alnæs, A. Logg, Kent-A. Mardal, O. Skavhaug, and H. P. Langtangen. UFC Specification and User Manual 1.0, Manual, 2007.

A. Logg and O. Skavhaug. Software Components for Solving PDEs, Talk at Modelling and Computation of Biomedical Processess Workshop, Simula Oslo, 2007-06-12, 2007.

K. Hinsen, H. P. Langtangen, O. Skavhaug, and Å. Ødegård. Using BSP and Python to Simplify Parallel Programming, Future Generation Computer Systems 22(1-2):123--157, 2006.

M. S. Alnæs, A. M. Bruaset, X. Cai, H. P. Langtangen, Kent-A. Mardal, H. Moe, O. Skavhaug, and Å. Ødegård. Python in High Performance Computing, Tutorial presented at the Para06 Workshop, 2006.

O. Skavhaug, Kent-A. Mardal, and H. P. Langtangen. A Python Framework for Verifying Codes for Numerical Solutions of Partial Differential Equations, Simula Research Laboratory, Simula Preprint(2005-18), 2005.

A. M. Bruaset, M. S. Alnæs, H. P. Langtangen, Kent-A. Mardal, H. Moe, O. Skavhaug, and Å. Ødegård. Scientific Computing in Python, Tutorial ASIM 2005, 2005.

O. Skavhaug. Visions of Python in Scientific Computing, Invited talk at Uppsala University, 2005.

O. Skavhaug and O. Certic. Swiginac - Extending Python with Symbolic Mathematics, Invited talk at FEniCS05 in Chicago, 2005.

O. Skavhaug and H. P. Langtangen. A basic introduction to Python, Invited talk at Uppsala University, 2005.

O. Skavhaug. Numerical Methods and Software with Applications in Computational Finance, PhD thesis, Department of Informatics, University of Oslo, 2004.

R. Geus, O. Skavhaug, and H. P. Langtangen. Python Wrapper Tools; a Performance Study, Talk at the EuroPython 2004 Conference, Gothenburg, Sweden, 2004.

Å. Ødegård, K.-A. Mardal, P. Miller, H. Moe, O. Skavhaug, A.-M. Bruaset, and H. P. Langtangen. High Performance Computing in Python, Tutorial, SC2004, 2004.

O. Skavhaug, B. F. Nielsen, and A. Tveito. Mathematical Models of Financial Derivatives, In: Advanced Topics in Computational Partial Differential Equations -Numerical Methods and Diffpack Programming, ed. by H. P. Langtangen and A. Tveito. Springer-Verlag, pp. 451-482, 2003.

O. Skavhaug, B. F. Nielsen, and A. Tveito. Numerical Methods for Financial Derivatives, In: Advanced Topics in Computational Partial Differential Equations -Numerical Methods and Diffpack Programming, ed. by H. P. Langtangen and A. Tveito. Springer-Verlag, pp. 483-506, 2003.

O. Skavhaug. Fully Automatic Method of Manufactured Solutions, Talk at the Advanced Environments and Tools for High Performance Computing, EuroConference on Problem Solving Environments and the Information Society, 2003.

B. F. Nielsen, O. Skavhaug, and A. Tveito. Penalty and front-fixing methods for the numerical solution of American option problems, The Journal of Computational Finance 5(4):69-97, 2002.

B. F. Nielsen, O. Skavhaug, and A. Tveito. A penalty scheme for solving American option problems, In: Progress in industrial mathematics at ECMI 2000, ed. by A. M. Anile and V. Capasso and A. Greco, pp. 608--612, Springer-Verlag, 2002.

B. F. Nielsen, O. Skavhaug, and A. Tveito. Numerical Solution of American Option Problems Using Penalty Methods, Presented at the SIAM Annual Meeting in San Diego, USA, 2001.

B. F. Nielsen, O. Skavhaug, and A. Tveito. Penalty methods for the numerical solution of American option problems, Presented at the Department of Mathematics, University of Oslo, Norway, 2000.