We provide a brief general overview of the difference potentials method (DPM) and outline its key features that enable the new computational capabilities. We present three examples of the actual applied problems that have been solved with this method, and also comment on the connections between the new potentials and the Calderon–Seeley potentials.
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References
Ryaben’kii, V. S. (2002). Method of Difference Potentials and Its Applications, Springer-Verlag, p. 538.
Calderon, A. P. (1964). Boundary-value problems of elliptic equations. In Proceedings of Soviet-American Symposium in Partial Differential Equations, Novosibirsk, Fizmatgiz, Moscow, pp. 303–304.
Seeley R.T. (1966). Singular integrals and boundary-value problems. Amer. J. Math. 88(4): pp 781–809
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Ryaben’kii, V. On the Method of Difference Potentials. J Sci Comput 28, 467–478 (2006). https://doi.org/10.1007/s10915-006-9084-x
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DOI: https://doi.org/10.1007/s10915-006-9084-x