Title :
Ill-posed problems of vacuum physical electronics
Author :
Korolev, Sergey V.
Author_Institution :
Fed. State Unitary Enterprise “All-Russia Electron. Tech. Inst., State Sci. Center Russian Federation, Moscow, Russia
Abstract :
A major portion of problems related to theory of vacuum electronics have been demonstrated as being ill-posed. As this takes place, only part of ill-posed problems that fall, according to R. Baire, in the 1st class of analytically expressible functions can be solved by numerical methods. A numerical solution to the remainder of analytically expressible functions that have the only exact solution will considerably differ from the exact solution, no matter how high is the accuracy with which the calculations have been made.
Keywords :
numerical analysis; vacuum microelectronics; ill-posed problem; numerical methods; vacuum physical electronics; Classification algorithms; Convergence; Equations; Integral equations; Inverse problems; Mathematical model; Stability analysis; ill-posed problem; prior information; regularizing; vacuum electronics;
Conference_Titel :
Vacuum Electronics Conference (IVEC), 2011 IEEE International
Conference_Location :
Bangalore
Print_ISBN :
978-1-4244-8662-5
DOI :
10.1109/IVEC.2011.5747024