**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32727

##### Numerical Solution of Linear Ordinary Differential Equations in Quantum Chemistry by Clenshaw Method

**Authors:**
M. Saravi,
F. Ashrafi,
S.R. Mirrajei

**Abstract:**

**Keywords:**
Chebyshev polynomials,
Clenshaw method,
ODEs,
Spectral methods

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1075994

**References:**

[1] C. Canuto, M. Hussaini, A. Quarteroni, T. Zang, Spectral Methods in Fluid Dynamics, Springer, Berlin, 1988.

[2] C. Lanczos, Trigonometric interpolation of empirical and analytical functions, J. Math. Phys. 17 (1938) 123-129.

[3] D. Gottlieb, S. Orszag, Numerical Analysis of Spectral Methods, Theory and Applications, SIAM, Philadelphia, PA, 1977.

[4] L. M. Delves and J. L. Mohamed, Computational methods for integral equations, Cambridge University Press, 1985.

[5] E. Babolian and L .M. Delves, A fast Galerkin scheme for linear integro-differential equations, IMAJ. Numer. Anal, Vol.1, pp. 193-213,1981.

[6] Ira N. Levine, Quantum Chemistry, Fifth Edition ,City University of New York Prentice-Hall Publications.

[7] E. Babolian, M. Bromilow, R. England, M. Saravi, ÔÇÿA modification of pseudo-spectral method for solving linear ODEs with singularity-, AMC 188 (2007) 1260-1266.