Application of nonlinear optimization algorithms to the problems in plasma physics and thermonuclear fusion research

  • Tatsuoki Takeda
  • Kazuo Toi
  • Toshihide Tsunematsu
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 91)


Nonlinear Optimization Plasma Column Conductivity Distribution Linear Integral Equation Tokamak Plasma 
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  1. [1]
    J. Kowalik and M.R. Osborne, Methods for Unconstrained Optimization Problems, (American Elsevier Publishing Company, New York, 1968), for example.Google Scholar
  2. [2]
    Y. Suzuki, A. Kameari, H. Ninomiya, and H. Toyama, “Free Boundary MHD Equilibria”, Proceedings of 5th International Conference on Plasma Physics and Controlled Thermonuclear Research, (IAEA, Vienna, 1974).Google Scholar
  3. [3]
    K. Lackner, Computer Physics Communications 12 (1976) 33.Google Scholar
  4. [4]
    R. Temam, Archive for Rational Mechanic and Analysis 60 (1975) 51.Google Scholar
  5. [5]
    T. Takeda, “Application of nonlinear optimization to solution of differential and integral equations” Computing in Plasma Physics and Astrophysics, Proceedings of the 2nd European Conference on Computational Physics, Contributed Papers, IPP 6/147 F3 (1976).Google Scholar
  6. [6]
    J.A. Nelder and R. Mead, The Computer Journal 7 (1965) 308.Google Scholar
  7. [7]
    T. Kobayashi, S. Tamura, and K. Tani, “Optimum Design of Ohmic Heating Field Coils for an Air-Core System and Equilibrium Field Coils of a Large Scale Fusion Device”, JAERI-M 5898 (1974) in Japanese.Google Scholar
  8. [8]
    L.E. Zacharov, Nucl. Fusion 13 (1973) 595.Google Scholar
  9. [9]
    K. Toi and T. Takeda, Japan. J. Appl. Phys. 16 (1977) 325.Google Scholar
  10. [10]
    V.S. Mukhovatov and V.D. Shafranov, Nucl. Fusion 11 (1971) 605.Google Scholar
  11. [11]
    T. Takeda, J. Computational Phys. 21 (1976) 305.Google Scholar
  12. [12]
    C. Fleurier and J. Chapelle, Computer Physics Communications 7 (1974) 200, for example.Google Scholar
  13. [13]
    D.P. Ivanov and S.S. Krasilnikov, State Publishing House of Literature of Atomic Science and Technology, State Comittee for the Utilization of Atomic Energy, Moscow (1968).Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Tatsuoki Takeda
    • 1
  • Kazuo Toi
    • 1
  • Toshihide Tsunematsu
    • 1
  1. 1.Japan Atomic Energy Research InstituteTokai, Naka, IbarakiJapan

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