Fourth-order accurate bicompact schemes for hyperbolic equations

V. F. Tishkin and A. P. Favorskii, in Encyclopedia of Low-Temperature Plasmas (Yanus-K, Moscow, 2008), Vol. VII-1, Part 2, pp. 91–103 [in Russian].

A. S. Kholodov, in Encyclopedia of Low-Temperature Plasmas (Yanus-K, Moscow, 2008), Vol. VII-1, Part 2, pp. 141–174 [in Russian].

A. I. Tolstykh, Compact Difference Schemes and Their Application to Aerohydrodynamic Problems (Nauka, Moscow, 1990) [in Russian].

G. I. Marchuk and V. V. Shaidurov, Improving the Accuracy of Finite Difference Schemes (Nauka, Moscow, 1979) [in Russian].

N. N. Kalitkin, A. B. Al’shin, E. A. Al’shina, and B. V. Rogov, Computations on Quasi-Equidistant Meshes (Fizmatlit, Moscow, 2005) [in Russian].

I. V. Petukhov, in Numerical Methods for Solving Differential and Integral Equations and Quadrature Formulas (Akad. Nauk SSSR, Moscow, 1964), pp. 304–325 [in Russian].

O. M. Belotserkovskii, V. G. Grudnitskii, and Yu. A. Prokhorchuk, Zh. Vychisl. Mat. Mat. Fiz. 23, 119–126 (1983).

B. V. Rogov and M. N. Mikhailovskaya, Math. Model. Comput. Simul. 1(1), 91–104 (2009) [Mat. Model. 20 (1), 99–116 (2008)].

N. N. Kalitkin and P. V. Koryakin, Dokl. Math. 77, 320–323 (2008) [Dokl. Akad. Nauk 419, 744–748 (2008)].

B. V. Rogov and I. A. Sokolova, Proceedings of II International Conference on Finite-Difference Methods CFDM 98, July 5–9, 1998 (Minsk, 1998), Vol. 3, pp. 47–52.

N. N. Kalitkin, B. V. Rogov, and I. A. Sokolova, Dokl. Phys. 45, 481–484 (2000) [Dokl. Akad. Nauk 374, 190–193 (2000)].

B. V. Rogov and I. A. Sokolova, Dokl. Phys. 46, 429–433 (2001) [Dokl. Akad. Nauk 378, 628–632 (2001)].

N. N. Kalitkin, Numerical Methods (Nauka, Moscow, 1978) [in Russian].

S. K. Godunov, Mat. Sb. 47(89), 271–306 (1959).

E. Hairer and G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (Springer-Verlag, Berlin, 1996; Mir, Moscow, 1999).