Annihilation of loading parameters in classical numerical methods with differential equations

Computers and Structures

Volumn 59, Issue 2, 1996, Pages 265-271

  Ioakimidis, N I ^a   Anastasselou, E G ^b  

^a UNIVERSITY OF PATRAS   (Greece)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; MECHANICS; NUMERICAL METHODS;

ANNIHILATION; LINEAR ALGEBRAIC EQUATIONS; LOADING CONDITIONS;

DIFFERENTIAL EQUATIONS;

EID: 0030129003     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00257-X     Document Type: Article

References (20)

1. B. Buchberger, Gröbner bases: an algorithmic method in polynomial ideal theory. In: Multidimensonal Systems Theory. Progress, Directions and Open Problems in Multidimensional Systems (Edited by N. K. Bose), Chap. 6, pp. 184-232. Reidel, Dordrecht (1985).
2. B. W. Char, K. O. Geddes, G. H. Gonnet, B. L. Leong, M. B. Monagan and S. M. Watt, First Leaves: A Tutorial Introduction to Maple V. Springer, New York (1992).
3. B. W. Char, K. O. Geddes, G. H. Gonnet, B. L. Leong, M. B. Monagan and S. M. Watt, Maple V Language Reference Manual. Springer, New York (1991).
4. B. W. Char, K. O. Geddes, G. H. Gonnet, B. L. Leong, M. B. Monagan and S. M. Watt, Maple V Library Reference Manual, pp. 67-71, 469-478. Springer, New York (1991).
5. N. Takayama, Gröbner basis, integration and transcendental functions. In ISSAC'90: Proc. Int. Symp. on Symbolic and Algebraic Computation (Edited by S. Watanabe and M. Nagata), pp. 152-156. ACM Press, New York, and Addison-Wesley, Reading, MA (1990).
6. O. C. Zienkiewicz and K. Morgan, Finite Elements and Approximation. Wiley, New York (1983).
7. A. I. Beltzer, Variational and Finite Element Methods: A Symbolic Compulation Approach. Springer, Berlin (1990).
8. N. I. Ioakimidis, Symbolic computations: a powerful method for the solution of crack problems in fracture mechanics. Int. J. Fracture 43, R39-R42 (1990).
9. N. I. Ioakimidis, Application of computer algebra to the iterative solution of singular integral equations. Comput. Meth. appl. mech. Engng 94, 229-237 (1992).
10. N. I. Ioakimidis, Semi-numerical iterative series solution of linear algebraic equatons with 'MATHEMATICA'. Commun. appl. numer. Meth. 8, 421-429 (1992).
11. N. I. Ioakimidis, Application of MATHEMATICA to the direct solution of torsion problems by the energy method. Comput. Struct. 43, 803-807 (1992).
12. N. I. Ioakimidis, Application of MATHEMATICA to the iterative SAN solution of singular integral equations appearing in crack problems. Adv. Engng Software 14, 151-156 (1992).
13. N. I. Ioakimidis, Elementary applications of MATHEMATICA to the solution of elasticity problems by the finite element method. Comput. Meth. appl. mech. Engng 102, 29-40 (1993).
14. M. A. Golberg, Introduction to the numerical solution of Cauchy singular integral equations. In: Numerical Solution of Integral Equations (Edited by M. A. Golberg), pp. 183-308. Plenum Press, New York (1990).
15. Z. Kopal, Numerical Analysis, 2nd edn. pp. 381-397. Chapman & Hall, London (1961).
16. P. S. Theocaris and N. I. loakimidis, Numerical integration methods for the solution of singular integral equations. Q. appl. Math. 35, 173-183 (1977).
17. N. I. Ioakimidis and P. S. Theocaris, Array of periodic curvilinear cracks in an infinite isotropic medium. Acta Mech. 28, 239-254 (1977).
18. K. A. Broughan, G. Keady, T. D. Robb, M. G. Richardson and M. C. Dewar, Some symbolic computing links to the NAG numeric library. SIGSAM Bull. 25, 28-37 (1991).
19. M. Abramowitz and I. A. Stegun (eds), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1st Dover edn. Dover, New York (1965).
20. B. Buchberger, Applications of Gröbner bases in nonlinear computational geometry. In: Trends in Computer Algebra, International Symposium, Bad Neuenahr, 1987, Proceedings (Edited by R. Janßen), pp. 52-80. Lecture Notes in Computer Science, Vol. 296. Springer, Berlin (1988).