Scientific Computing - Why, What, How and What's Next
Problems in science and engineering have traditionally been solved by a combination of theory and experiment. In many branches of science, the theories are based on mathematical models, usually in the form of equations describing the physical world. By formulating and solving these equations, one can understand and predict the physical world. The theories are constructed from or validated by physical experiments under controlled conditions.
KeywordsElectrical Activity Computational Science Mantle Convection Computing Group Ordinary Differential Equation Modeling
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- FEniCS software collection. http://www.fenics.org.
- Diffpack software package. http://www.diffpack.com.
- H. P. Langtangen. Python Scripting for Computational Science. Texts in Computational Science and Engineering. Springer, third edition, 2009. Google Scholar
- H. P. Langtangen. Computational Partial Differential Equations—Numerical Methods and Diffpack Programming. Texts in Computational Science and Engineering. Springer, 2nd edition, 2003. Google Scholar
- J. Sundnes, G. Lines, X. Cai, B. F. Nielsen, K. A. Mardal, and A. Tveito. Computing the electrical activity in the heart. Monographs in Computational Science and Engineering. Springer, 2006. Google Scholar
- X. Cai, H. P. Langtangen, and H. Moe. On the performance of the Python programming language for serial and parallel scientific computations. Scientific Programming, 13(1):31–56, 2005. Google Scholar
- H. P. Langtangen and X. Cai. On the efficiency of Python for high-performance computing: A case study involving stencil updates for partial differential equations. Modeling, Simulation and Optimization of Complex Processes, pages 337–358. Springer, 2008. Google Scholar
- H. P. Langtangen and A. Tveito, editors. Advanced Topics in Computational Partial Differential Equations - Numerical Methods and Diffpack Programming,. Lecture Notes in Computational Science and Engineering, vol 33. Springer, 2003. 658 p. Google Scholar