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Numerical Simulation of the Problem Arising in the Gyrotron Theory

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Progress in Industrial Mathematics at ECMI 2004

Part of the book series: Mathematics in Industry ((TECMI,volume 8))

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Summary

Numerical aspects for solving of certain problem arising in gyrotron theory are discussed. Particularly, finite-difference schemes using quasistationarization and method of lines were applied and the relevant results analyzed.

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References

  1. M.I. Airila and O. Dumbrajs. Generalized gyrotron theory with inclusion of adiabatic electron trapping in the pressence of a depressed collection. Phys. Plasmas, 8:1358–1362, 2001.

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  2. O. Dumbrajs, H. Kalis, and A. Reinfelds. Numerical solution of single-mode gyrotron equation. Mathematical Modelling and Analysis, 9:25–38, 2004.

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  3. C.J. Edgcombe, editor. Gyrotron Oscillators: Their Principles and Practice. Taylor and Francis, Ltd. London, 1993.

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  4. N.A. Zavolsky, G.S. Nusinovich, and A.B. Pavelyev. Stability of single-mode oscillations and nonstationary processes in gyrotrons with very large low quality factor resonators. In Gyrotrons. Academy of Sciences of USSR, Gorky, pages 84–112, Russian, 1989.

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Author information

Authors and Affiliations

  1. Institute of Mathematics Latvian Academy of Sciences, Akadēmijas laukums 1, LV-1524, Rīga, Latvia

    J. Cepitis, H. Kalis & A. Reinfelds

  2. University of Latvia, Akadēmijas laukums 1, LV-1524, Rīga, Latvia

    J. Cepitis, H. Kalis & A. Reinfelds

  3. Helsinki University of Technology, FIN-02150, Espoo, Finland

    O. Dumbrajs

Authors
  1. J. Cepitis
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  2. O. Dumbrajs
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  3. H. Kalis
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  4. A. Reinfelds
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands

    A. Di Bucchianico , R.M.M. Mattheij  & M.A. Peletier ,  & 

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© 2006 Springer-Verlag Berlin Heidelberg

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Cepitis, J., Dumbrajs, O., Kalis, H., Reinfelds, A. (2006). Numerical Simulation of the Problem Arising in the Gyrotron Theory. In: Di Bucchianico, A., Mattheij, R., Peletier, M. (eds) Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28073-1_13

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