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References
Nordholm, S., and Bacskay, G. (1976). “Generalized finite element method applied to the calculation of continuum states,” Chem. Phys. Lett. 42, 259–263
Searles, D. J., and von Nagy-Felsobuki, E. I. (1988). “Numerical experiments in quantum Physics: Finite-element method,” Am. J. Phys. 56, 444–448
Akin, J. E. (1998). Finite Elements for Analaysis and Design, Academic Press, London
Zienkiewicz, O. C. (1984) Methode der Finiten Elemente, Carl Hanser Verlag, München
Beck, R., Erdmann, B., and Roitzsch, R. (1995). KASKADE 3.0 An object-oriented adaptive finite element code Technical Report TR 95-4, Konrad-Zuse-Zentrum, Berlin
Ackermann, J., and Roitzsch, R. (1993). “A two-dimensional multilevel adaptive finite element method for the time-independent Schrödinger equation,” Chem. Phys. Lett. 214, 109–117
deBoor, C. (1978) A practical Guide to Splines Springer-Verlag, Heidelberg
Sapirstein, J. and Johnson, W. R. (1996). “The use of basic splines in theoretical atomic physics,” J. Phys. B 29, 5213–5225
Johnson, W. R., Blundell, S. A., and Sapirstein, J. (1988). “Finite basis sets for the Dirac equation constructed from B splines,” Phys. Rev. A 37, 307–315
Ram-Mohan, L. R., Saigal, S., Dossa, D., and Shertzer, J. (1990). “The finite-element method for energy eigenvalues of quantum mechanical systems,” Comp. Phys. Jan/Feb, 50–59
Duff, M., Rabitz, H., Askar, A., Cakmak, A., and Ablowitz, M. (1980). “A comparison between finite element methods and spectral methods as applied to bound state problems,” J. Chem. Phys. 72, 1543–1559
Shertzer, J., and Botero, J. (1994). “Finite-element analysis of electron-hydrogen scattring,” Phys. Rev. A 49, 3673–3679
Braun, M., Schweizer, W., and Herold, H. (1993). “Finite-element calculations for S-states of helium,” Phys. Rev. A 48, 1916–1920; Braun, M., Elster, H., and Schweizer, W. (1998). “Hyperspherical close coupling calculations for helium in a strong magnetic field,” ibid. 57, 3739–3744
Schweizer, W. and Faßbinder, P., (1997). “Discrete variable method for nonintegrable quantum systems”, Comp. in Phys. 11, 641–646
Faßbinder, P., Schweizer, W. and Uzer, T (1997). “Numerical simulation of electronic wavepacket evolution,” Phys. Rev. A 56, 3626–3633
Ho, Y. K. (1983). “The method of complex coordinate rotation and its applications to atomic collision processes,” Phys. Rep. 99, 1–68
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(2002). Finite Elements. In: Numerical Quantum Dynamics. Progress in Theoretical Chemistry and Physics, vol 9. Springer, Dordrecht. https://doi.org/10.1007/0-306-47617-7_7
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DOI: https://doi.org/10.1007/0-306-47617-7_7
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