By L. Collatz (auth.), J. G. Gram (eds.)
Read or Download Numerical Solution of Partial Differential Equations: Proceedings of the NATO Advanced Study Institute held at Kjeller, Norway, August 20–24, 1973 PDF
Similar nonfiction_8 books
Advances in Object-Oriented Graphics I
Object-oriented structures have won loads of attractiveness lately and their program to photos has been very winning. This ebook files a few contemporary advances and exhibits various parts of present examine. the aim of the ebook is: - to illustrate the intense useful software of object-oriented equipment in special effects (including person interfaces, photograph synthesis, CAD), - to ascertain impressive examine matters within the box of object-oriented photos, and specifically to investi- gate extensions and shortcomings of the technique whilst utilized to special effects.
Organizational Change and Information Systems: Working and Living Together in New Ways
This booklet examines a number of matters rising from the interplay of data applied sciences and organizational structures. It incorporates a choice of examine papers targeting issues of turning out to be curiosity within the box of data structures, association reviews, and administration. The e-book deals a multidisciplinary view on details platforms aiming to disseminate educational wisdom.
- Particles and Nuclei: Volume 1, Part 1
- Bacterial Diversity and Systematics
- Séminaire de Probabilités XXVIII
- Appraising Lakatos: Mathematics, Methodology, and the Man
- Third Workshop on Grand Unification: University of North Carolina, Chapel Hill April 15–17, 1982
Extra info for Numerical Solution of Partial Differential Equations: Proceedings of the NATO Advanced Study Institute held at Kjeller, Norway, August 20–24, 1973
Sample text
Hageman, L. , and R. B. Kellogg, "Estimating optimum overrelaxation parameters," Math. Compo 22, 60-68 (1968). 7. Kahan, W. "Gauss-Seidel methods of solving large systems of linear equations," doctoral thesis, University of Toronto, Toronto, Canada (1958). 8. Kulsrud, H. E. "A practical technique for the determination of the optimum relaxation factor of the successive overrelaxation method," Comm. Assoc. Comput. Mach. 4, 184-187 (1961). 9. Reid, J. K. "A method for finding the optimum successive over-relaxation parameter," The Computer Journal 9, 200-204 (1966).
15). 4b. Semi-iteration (alternative to 4a). 2) with a = 0, ~ = S(~l)' 5. Convergence tests. 6) lliill ~ < A If this test is satisfied t· The semi-iterative method is carried out until < 1:. 8 ) 9. -ull A~ NUMERICAL RESULTS We now describe some numerical experiments which were carried out using the accelerated SSOR method. 2) was solved in the unit square with boundary values zero on SOLUTION OF LINEAR SYSTEMS OF EQUATIONS 51 all sides except where y = O. On the side y = 0, the values of u(x,y) were unity.
3) are the velocity components. h and ~ are the total energy and entropy per unit mass respectively. 3) with P the denSity and T the temperature. The function :; p = P(Qi,h,~) = ~ Qi vi + p i=l is introduced. where ~ = vi (i = 1,2,3), : = p, ~ =- pT. The dual variational principles involving p and P respectively can be strengthened to extremum principles for particular types of compressible flow. VARIATIONAL PRINCIPLES - A SURVEY 31 Two recent accounts attempting to unify dual principles are due to Sewell [lOJ and Arthurs [lJ.