Literature Cited
H. Hönl, A. Maue, and K. Westpfahl, Diffraction Theory [Russian translation], Izd. Mir, Moscow (1964).
S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Izd. Nauka, Moscow (1970).
V. V. Nikol'skii, Variational Methods for Internal Problems of Electrodynamics [in Russian], Izd. Nauka, Moscow (1967).
L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow (1962).
C. Muller, Grundlagen der Mathematischen Theorie Electromagnetischen Schwingungen, Berlin (1957).
G. T. Markov and E. N. Vasil'ev, Mathematical Methods of Applied Electrodynamics [in Russian], Izd. Sov. Radio, Moscow (1970).
V. V. Nikol'skii, Radiotekh. Élektron.,14, No. 2, 201 (1969).
A. G. Sveshnikov, Dokl. Akad. Nauk SSSR,184, No. 1, (1969).
V. V. Nikol'skii, Radiotekh. Élektron.,16, No. 7, 1120 (1971).
V. V. Nikol'skii, Trudy MIRÉA, No. 55: Élektrodinamika, Antenny i Tekhnika SVCh, 5 (1972).
R. Courant and D. Hilbert, Methods of Mathematical Physics [Russian translation], Gostekhizdat, Moscow (1951).
G. V. Kisun'ko, Electrodynamics of Hollow Systems [in Russian], Izd. VKAS, Leningrad (1949).
V. V. Nikol'skii, Radiotekh. Élektron.,5, No. 12, 1960 (1960).
A. G. Medoks, Radiotekhnika,22, No. 9, 30 (1967).
V. V. Nikol'skii, Trudy MIRÉA, No. 40: Radiotekhnika,1, 3 (1969).
V. V. Nikol'skii, F. F. Izmailov, and A. P. Fedoseev, Radiotekh. Élektron.,17, No. 6, 1305 (1972).
V. V. Nikol'skii and G. D. Malushkov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,16, No. 7, 1045 (1973).
G. D. Malushkov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,18, No. 2, 268 (1975).
A. N. Kovalenko, Trudy MIRÉA, No. 70: Élektrodinamika, Antenny i Tekhnika SVCh, 60 (1974).
V. V. Nikol'skii, Trudy MIRÉA, No. 70: Élektrodinamika, Antenny i Tekhnika SVCh, 24 (1974).
V. V. Nikol'skii and V. G. Feoktistov, Radiotekh. Élektron.,16, No. 9, 1596 (1971).
V. V. Nikol'skii, Trudy MIRÉA, No. 70: Élektrodinamika, Antenny i Tekhnika SVCh, 112 (1974).
V. V. Nikol'skii, Radiotekh. Élektron.,16, No. 8, 1342 (1971).
V. V. Nikol'skii, Trudy MIRÉA, No. 70: Elektrodinamika, Antenny i Tekhnika SVCh, 99 (1974).
B. Z. Katsenelenbaum, Theory of Irregular Waveguides with Slowly Varying Parameters [in Russian], Izd. Akad. Nauk SSSR, Moscow (1961).
A. Stevenson, J. Appl. Phys.,22, No. 12, 1447 (1951).
A. G. Svenshnikov, Zh. Vychisl. Mat. Mat. Fiz.,3, No. 2 (1963).
A. G. Sveshnikov, Zh. Vychisl. Mat. Mat. Fiz.,3, No. 5 (1963).
A. G. Sveshnikov, A. S. Il'inskii, and I. P. Kotik, in: Computational Methods and Programming [in Russian], No. 3, Izd. MGU, Moscow (1965).
V. I. Dmitriev, A. S. Il'inskii, and A. G. Sveshnikov, Vestn. Mosk. Gos. Univ., Mat. Mekh., No. 4, 71 (1970).
A. G. Sveshnikov and A. S. Il'inskii, Zh. Vychisl. Mat. Mat. Fiz.,11, No. 4, 960 (1971).
A. S. Il'inskii and N. B. Kosich, Radiotekh. Élektron.,19, No. 6, 1171 (1974).
V. P. Orlov, Radiotekh. Élektron.,9, No. 3, 553 (1964).
V. P. Modenov, in: Computational Methods and Programming [in Russian], No. 5, Izd. MGU, Moscow (1966), p. 197.
A. S. Il'inskii, A. L. Pavlov, and A. G. Sveshnikov, Investigation of Some Problems of Diffraction in Inhomogeneous Media by Numerical Methods [in Russian], Izd. MGU, Moscow (1972).
W. C. Hahn, J. Appl. Phys.,12, No. 1, 62 (1941).
V. V. Nikol'skii, Trudy MIRÉA, No. 70: Élektrodinamika, Antenny i Tekhnika SVCh, 3 (1974).
V. V. Nikol'skii, in: Sixth All-Union Symposium on Diffraction and Wave Propagation. Abstracts of Reports [in Russian], Part 1, Moscow-Erevan (1973), p. 83.
V. G. Feoktistov and O. I. Levin, in: Sixth All-Union Symposium on Diffraction and Wave Propagation. Abstracts of Reports [in Russian], Part 1, Moscow-Erevan (1973), p. 102.
Yu. P. Vinnichenko, L. N. Zakhar'ev, A. A. Lemanskii, and A. E. Tumanskaya, Radiotekh. Élektron.,19, No. 8, 1591 (1974).
V. V. Nikol'skii, in: Computer Design of Microwave Systems and Devices [in Russian], No. 2, Kiev (1974), p. 3.
V. V. Nikol'skii, Radiotekh. Élektron.,20, No. 3, 457 (1975).
V. V. Nikol'skii, in: Sixth All-Union Symposium on Diffraction and Wave Propagation. Abstracts of Reports [in Russian], Part 1, Moscow-Erevan (1973), p. 79.
V. V. Nikol'skii, Radiotekh. Élektron.,20, No. 10, 2046 (1975).
V. V. Nikol'skii, Radiotekh. Élektron.,20, No. 11, 2382 (1975).
S. W. Lee, W. R. Jones, and J. J. Campbell, IEEE Trans., Microwave Theory Tech.,19, No. 6, 528 (1971).
L. A. Vainshtein, Diffraction Theory and the Factorization Method [in Russian], Izd. Sov. Radio, Moscow (1966).
J. Schwinger, Zarubezh. Radioélektron., No. 3 (1970).
T. Kato, Progr. Theor. Phys.,6, 394 (1951).
L. Spruch, J. Appl. Phys.,31, No. 5, 905 (1960).
V. V. Nikol'skii and V. G. Feoktistov, Trudy MIRÉA, No. 40: Radiotekhnika,5, 50 (1970).
V. V. Nikol'skii and V. G. Feoktistov, Radiotekh. Élektron.,16, No. 10, 1770 (1971).
E. L. Kulikov, E. I. Kinikstul', and L. P. Timchenko, Radiotekh. Élektron.,17, No. 9 (1972).
V. V. Nikol'skii, Yu. Kh. Vermishev, V. P. Orlov, and V. G. Feoktistov, in: Computer Design of Microwave Systems and Devices [in Russian], No. 1, Kiev (1974), p. 3.
B. Z. Katsenelenbaum, Radiotekh. Élektron.,13, No. 4, 587 (1968).
B. Z. Katsenelenbaum, Radiotekh. Élektron.,14, No. 1, 25 (1969).
N. N. Voitovich, B. Z. Katsenelenbaum, and A. N. Sivov, Radiotekh. Élektron.,17, No. 2, 268 (1972).
N. N. Voitovich, B. Z. Katsenelenbaum, E. N. Korshunova, and A. N. Sivov, Radiotekh. Élektron.,20, No. 6, 1129 (1975).
L. Collatz, Eigenvalue Problems [Russian translation], Izd. Nauka, Moscow (1968), p. 56.
Additional information
Moscow Institute of Radio Engineering, Electronics, and Automation. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 20, No. 1, pp. 5–44, January, 1977.
Rights and permissions
About this article
Cite this article
Nikol'skii, V.V. Variational methods for diffraction problems (a survey). Radiophys Quantum Electron 20, 1–28 (1977). https://doi.org/10.1007/BF01034268
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01034268