A METHOD FOR SOLVING FUNCTIONAL EQUATIONS

P. A. Avdeev, V. F. Karyakin
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1979. No 2. P. 3-5.

      A description of the Scofie1d-GoM iteration method for solving equations in the function space is presented. The convergence condition and the method application to the first order integral equation solut ions are described.

V. Ya. Bukharova, G. A. Grishina, O. M. Zotova, T. G. Ivchenko
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1979. No 2. P. 6-11.

      A method for evaluation of gas dynamic flows in linear approximation is described. The paper formulates the problem, develops differential equations for perturbations in the cases of plane, spherical, and cylinder symmetry flows, it also represents their solution using Fourier series.
      The approach, proposed here. is applied to the numerical solution of 3-D problems and is also used, for example, to investigate the Ray 1eigh-Taylor instability generation. Later we are planning to publish the information on a numerical method, implementing small perturbation computations.

Yu. F. Kiryanov, I . V. Shestakova
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1979. No 2. P. 12-16.

      Finite-difference schemes for numerical evaluation of the Mandelschtamm-Bri11ouin sea ter ring characteristics are given. Numerical calculation studies the effect of reproducing scattered radiation wave front generated by amplitude and phase pumping beam profiles both for linear and nonlinear amplificat ion modes

V. A. Svidinsky, V. I. Selin
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1979. No 2. P. 17-18.

      The paper presents an approach for solving a spherical symmetry explosion problem, based on a combination of a finite-difference method and a partial analytic solution.

V. I. Selin
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1979. No 2. P. 19-22.

      A method is presented for evaluation of elastic waves from an underground explosion which is based on a combination of finite-difference schemes and partial analytic solutions.

A. V. Zabrodin, S. B. Pekarchuk
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1979. No 2. P. 23-30.

      Potential sources introducing the instability of difference scheme for solving thermal conduction equations are analyzed. An algorithm is constructed to inverse the operator for values evaluation on an intermediate layer. The numerical results are presented.