Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The numerical solutions of the eigenvalue problem for compact integral operators
HTML articles powered by AMS MathViewer

by Kendall E. Atkinson PDF
Trans. Amer. Math. Soc. 129 (1967), 458-465 Request permission
References
  • P. M. Anselone, Convergence and error bounds for approximate solutions of integral and operator equations, Error in Digital Computation, Vol. 2 (Proc. Sympos. Math. Res. Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1965) Wiley, New York, 1965, pp. 231–252. MR 0189277
  • P. M. Anselone and R. H. Moore, Approximate solutions of integral and operator equations, J. Math. Anal. Appl. 9 (1964), 268–277. MR 184448, DOI 10.1016/0022-247X(64)90042-3
  • K. E. Atkinson, Extensions of the Nyström method for the numerical solution of linear integral equations of the second kind, U.S. Army Math. Research Center Tech. Rep. #686; Ph.D. thesis, Univ. of Wisconsin, Madison, 1966.
  • Helmut Brakhage, Über die numerische Behandlung von Integralgleichungen nach der Quadraturformelmethode, Numer. Math. 2 (1960), 183–196 (German). MR 129147, DOI 10.1007/BF01386221
  • Helmut Brakhage, Zur Fehlerabschätzung für die numerische Eigenwertbestimmung bei Integralgleichungen, Numer. Math. 3 (1961), 174–179 (German). MR 129148, DOI 10.1007/BF01386016
  • Hans Bückner, Konvergenzuntersuchungen bei einem algebraischen Verfahren zur näherungsweisen Lösung von Integralgleichungen, Math. Nachr. 3 (1950), 358–372 (German). MR 48926, DOI 10.1002/mana.19490030604
  • —, “Numerical methods for integral equations,” in Survey of numerical analysis, pp. 439-467, edited by John Todd, McGraw-Hill, New York, 1962. N. Dunford and J. T. Schwartz, Linear operators, Vol. I, Interscience, New York, 1957.
  • L. V. Kantorovich and V. I. Krylov, Approximate methods of higher analysis, Interscience Publishers, Inc., New York; P. Noordhoff Ltd., Groningen 1958. Translated from the 3rd Russian edition by C. D. Benster. MR 0106537
  • E. J. Nyström, Über Die Praktische Auflösung von Integralgleichungen mit Anwendungen auf Randwertaufgaben, Acta Math. 54 (1930), no. 1, 185–204 (German). MR 1555306, DOI 10.1007/BF02547521
  • Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727
  • Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0098966
  • R. E. Turner, Eigenfunction expansions in Banach spaces, U.S. Army Math. Research Center Tech. Rep. #600, Madison, Wisconsin, 1966.
  • Helmut Wielandt, Error bounds for eigenvalues of symmetric integral equations, Proceedings of Symposia in Applied Mathematics. Vol. VI. Numerical analysis, McGraw-Hill Book Company, Inc., New York, for the American Mathematical Society, Providence, R.I., 1956, pp. 261–282. MR 0086402
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 47.70, 65.00
  • Retrieve articles in all journals with MSC: 47.70, 65.00
Additional Information
  • © Copyright 1967 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 129 (1967), 458-465
  • MSC: Primary 47.70; Secondary 65.00
  • DOI: https://doi.org/10.1090/S0002-9947-1967-0220105-3
  • MathSciNet review: 0220105