Geodesic
A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches
Numerical methods and programming, Tome 20 (2019) no. 3, pp. 323-336

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The blow-up of solutions is analytically and numerically studied for a certain Sobolev-type equation describing processes in varicap-based electrical networks. The energy method is used for the analytical study. For the numerical analysis, the original partial differential equation is approximated using a system of ordinary differential equations solved by the one-stage Rosenbrock scheme with a complex coefficient. The numerical diagnostics of solutions blow-up is based on a posteriori asymptotically exact error estimation on sequentially condensed grids.
Mots-clés : Sobolev-type equation
Keywords: numerical diagnostics of solutions blow-up. 
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     author = {V. A. Vasil'chenko and M. O. Korpusov and D. V. Lukyanenko and A. A. Panin},
     title = {A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches},
     journal = {Numerical methods and programming},
     pages = {323--336},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a11/}
}
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V. A. Vasil'chenko; M. O. Korpusov; D. V. Lukyanenko; A. A. Panin. A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches. Numerical methods and programming, Tome 20 (2019) no. 3, pp. 323-336. http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a11/