1549301742-The_Theory_of_Difference_Schemes__Samarskii

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754 References

Berezanskij, Yu. (1968) Expansions in Eigenfunctions of Self-Adjoint Op-
erator. AMS: Providence, RI.

Bitsadze, A. (1976) Equations of Mathematical Physics. Na.uka.: Moscow
(in Russian).
Cannon, .J. ( 1984) The one-dimensional heat equation. In: Encyclopedia of
Ma.then1atics and Its Applications. v. 23, Addison-Wesley: Reading, MA.
Chao Show ( 1963) Homogeneous difference sche1nes fo1· a four order equa-
tion with discontinuous coefficients. Zh. Vychisl. J\!Iat. i J\!Iat. Fiz., 5, 123-
132 (in Russian); English transl. in USSR Co1nput. J\!Iathen1. and Ivia.then1.
Physics.

Courant, R. and Hilbe1·t, D. (1953) Methods of Iviathematical Physics. Vol-
un1e 1. Wiley: New York.

Com· ant, R. and Hilbe1·t, D. (1962) Iviethods of Mathematical Physics. Vol-
ume 2. \!Viley: New Yol'!c

Dezin, A. (1980) General Questions of the Theory of Boundary-Value Prob-
lems. Nauka: Moscow (in Russian).

Dunford, N. and Schwartz, .J. (197la) Linear Operators (second edition).
Pa1·t I: Gene1·al Theory. Wiley: New York.
Dunford, N. and Schwartz, .J. (197lb) Linear Operators (second edition).
Pa1·t II: Spect1·al Theory. Self-Adjoint Ope1·ators in Hilbert Space. Wiley:
New York.

Faddeev, D. and Faddeeva, V. ( 1963) Co1nputational Methods of Linear
Algebra. Freeman&Co.: San Francisco.

Filippov, A. (1955) On stability of difference equations. Dold. Akad. Nauk
SSSR, 100, 1045-1048 (in Russian); English transl. in Soviet Mathem. Dold.

Fo1·sythe, G. and Wasow, \IV. ( 1960) Finite Diffe1·e11ce Methods for Diffe1·-
ential Equations. Wiley: New York.
Gelfand, A. (1967) Calculus of Finite Differences. Nauka: Moscow (in Rus-
sian).


Godunov, S. (1971) Equations of Mathematical Physics. Nauka: Moscow
(in Russian).

Godunov, S. and Ryabeuki!, V. (1964) Introduction to the Theory of Dif-
fe1·ence Schemes. Interscience: New Yo1·k.

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