Asymptotic Solutions of the Cauchy Problem with Localized Initial Data for a Finite-Difference Scheme Corresponding to the One-Dimensional Wave Equation

Author:

Sergeev S. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference20 articles.

1. V. P. Maslov, “Non-standard characteristics in asymptotic problems,” UspekhiMat. Nauk 38 (6 (234)), 3–36 (1983) [Russian Math. Surveys 38 (6), 1–42 (1983)].

2. V. P. Maslov, “Characteristics of pseudodifferential operators and finite-difference schemes,” in International Congress of Mathematicians–1970 in Nice. Talks of Soviet Mathematicians (Nauka, Moscow 1972), pp. 188–202 [in Russian].

3. V. P. Maslov, Operational Methods (Nauka, Moscow, 1973; Mir, Moscow, 1976).

4. V. P. Maslov and V. G. Danilov, “Pontryagin’s duality principle for calculation of an effect of Cherenkov’s type in crystals and difference schemes. I,” in Trudy Mat. Inst. Steklova, Vol. 166: Modern Problems of Mathematics. Differential Equations, Mathematical Analysis and Their Applications (MIAN, Moscow, 1984), pp. 130–160 [Proc. Steklov Inst. Math. 166, 143–177 (1986)].

5. V. P. Maslov and V. G. Danilov, “Pontryagin’s duality principle for calculation of an effect of Cherenkov’s type in crystals and difference schemes. II,” in Trudy Mat. Inst. Steklova, Vol. 167: Current Problems in Mathematics. Mathematical Analysis, Algebra, Topology, (MIAN, Moscow, 1985), pp. 96–107 [Proc. Steklov Inst. Math. 167, 103–116 (1986)].

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