×

A Fourier analysis of some difference schemes for the Laplace equation in a system of rotational symmetry. (English) Zbl 0378.65055

MSC:

65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Groth, T.; Olsen, B.; Pettersson, G., Nucl. Instrum. Methods, 56, 61 (1967)
[2] Groth, T.; Olsen, B.; Pettersson, G., Nucl. Instrum. Methods, 55, 93 (1967)
[3] Besev, C.; Groth, T.; Kleinheinz, P.; Olsen, B.; Pettersson, G.; Schneider, W., Nucl. Instrum. Methods, 62, 147 (1968)
[4] Natali, S.; Di Chio, D.; Kuyatt, C. E., J. Res. Nat. Bur. Stand. USA Sect. A, 76, 27 (1972)
[5] Natali, S.; Di Quo, D.; Uva, E.; Kuyatt, C. E., Rev. Sci. Instrum., 43, 80 (1972)
[6] Forsythe, G. E.; Wasow, W. R., Finite Difference Methods for Partial Differential Equations (1960), Wiley: Wiley New York · Zbl 0099.11103
[7] Abramowitz, M.; Stegun, I. A., (Handbook of Mathematical Functions (1970), Dover: Dover New York)
[8] Subroutine LEQTlB in the IMSL Library: International Mathematical and Statistical Libraries Inc., Sixth Floor, GNB Building, 7500 Bellaire Boulevard, Houston, Tex. 77036.; Subroutine LEQTlB in the IMSL Library: International Mathematical and Statistical Libraries Inc., Sixth Floor, GNB Building, 7500 Bellaire Boulevard, Houston, Tex. 77036.
[9] Blair, J. M., Math. Comp., 28, No. 126, 581 (1974)
[10] Durand, E., C. R. Acad. Sci. Paris, 244, 2355 (1957), (in French)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.