Computing math

J. A. McCammon, B. M. Pettitt, and L. R. Scott. Ordinary differential equa tions of molecular dynamics. Computers Math. Applic., 28 319-326, 1994. 

MSN. 164. T. Petrosky and I. Prigogine, The extension of classical dynamics for unstable Hamiltonian systems. Computers Math. Apic. 34, 1 14 (1997). 

Mezey, P. G. (1997) Chirality measures and graph representations. Computers Math. Applic. 34, 105-112. 

Lidskii, V. USSR Comput. Math. Math. Phys. 6, 73-85 (1965). 

Stegun, I. A., and M. Abramowitz, 1957. Generation of Bessel functions on high speed computers, Math. Tables Other Aids Comput., 11, 255-257. 

Smirnova, N. V. and Urusov, V. S. (1988). Fundamental law of crystal chemistry by Shubnikov, its applications and restrictions. Comput. Math. Applic. 16, 563-7. 

Tarnai, T. 1989 Buckling patterns of shells and spherical honeycomb structures. Computers Math. Applic. 17, 639-652. 

Schwabe C. Evolution and chaos. Computers Math Applic 1990 20 287. 

E.J. Kansa. Multiquadratics- a scattered data approximation scheme with applications to computational fluid mechanics, ii-solutions to parabolic, hyperbolic and elliptic partial differential equations. Computers Math. Applic., 19 147, 1990. 

Balaban AT (1989) Carbon and its nets, Computers Math Applic 17 397 reprinted in Hargittai I (ed) (1989) Symmetry 2 Unifying human understanding, Pergamon, Oxford... 

In ref. 145 the author presents a new explicit Numerov-type method. The development is based on a modification of a sixth-order explicit Numerov-type method recently produced by Tsitouras [Ch. Tsitouras, Explicit Numerov type methods with reduced number of stages, Comput. Math. Appl. 2003, 45, 37-42]. The author adds two free parameters in order nullify the phase-lag and the amplification error. We notice here that this type of methods is useful only in the case in which a good estimate of the frequency of the problem is known in advance. The parameters depend on the product of the estimated frequency and the stepsize. 

G. Avdelas and T. E. Simos, Embedded methods for the numerical solution of the Schrodinger equation, Comput. Math. Appl., 1996, 31, 85-102. 

D. Levin Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes. Adv. Comput. Math 11, pp41-54, 1999... 

N. Dyn, D.Levin and A.Luzzato Non-stationary interpolatory subdivision schemes reproducing spaces of exponential polynomials. Found Comput Math, ppl97-206, 2003... 

Naidenov, V. I., On nonlinear equations of self-similar non-isothermic motion of viscous fluid, Comput. Math, and Math. Phys., Vol. 28, No. 12, 1988. 

Zvyagin BB (1988) Polytypism of crystal stiuctures. Comput Math Apphc 16 569-591... 

Zvyagin BB (1988) Polytypism of crystal stractures. Comput Math Appl 16 569-591 Zvyagin BB, Vrablevskaya ZV, Zhidchlistov AP, Sidorenko OV, Soboleva SV, Fedotov AF (1979) High-voltage Electron Diffraction in the Study of Layered Minerals. Moscow Nauka Press, 224 p (in Russian)... 

Lebedev, V. I. Difference analogies of orthogonal decompositions of basic differential operators and some boundary value problems. J. Sovet. Comput. Maths. Math. Phys., 4, no. 3, 449-465 (in Russian), 1964. 

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