β Scribed by A.A. Charakhch'yan
No coin nor oath required. For personal study only.
The device used in /5/ for solving the three-dimensional analogue of Goursat's problem consists in replacing the initial problem by a series of successive well-posed problems of flow past an unknown wall, in which the wall is later defined by methods of minimizing certain discrepancies.
Another device is to use coarse mesh steps, whereby, if the initial data are specified with good accuracy, the solution can be obtained with acceptable accuracy. This device, for the regularization of the three-dimensional Cauchy problem in the direction of the vector s, was used in /6/ when solving the conjugate problem for Lagrange multipliers. REFERENCES 1. SHMYGLEVSKII YU.D., Some variational problems of gas-dynamics (Nekotorye variatsionnye zadachi gazovoi dinamiki), VTs Akad. Nauk SSSR, Moscow, 1963. 2. VOINOVSKII A.S. and KUREEV V.I., Solution of the inverse profiling problem for new classes of supersonic nozzles and channels, by a mesh-characteristic method and Godunov's method, in: Numerical methods of the mechanics of a continuous medium (Chisl. metody mekhan. sploshnoi
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