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Numerical methods for stiff systems of differential equations related with transistors, tunnel diodes, etc

  • Circuits Et Transistors
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Computing Methods in Applied Sciences and Engineering Part 1

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 10))

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References

  • G. G. Bjurel et al, Survey of stiff ordinary differential equations, Report NA70.11 (1970), Dept. of Inf. Proc., The Royal Inst. Tech., Stockholm.

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  • J. Cole, Perturbation Methods in Applied Mathematics, Blaisdell (1968).

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  • W. L. Miranker, Singular perturbation analysis of the differential equations of a tunnel diode circuit, Quart. of Appl. Math XX (1962) 279–299.

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  • W. L. Miranker, The occurrence of limit cycles in the equations of a tunnel diode circuit, IRE Trans. on Circuit Theory (1962) 316–320.

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  • W. L. Miranker, Numerical methods of boundary layer type for stiff systems of ordinary differential equations, Computing, 11, (1973)

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  • A. H. Nayfeh, Perturbation Methods, Wiley (1973).

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Supplementary Bibliography

  • F. Hoppensteadt, Properties of solutions of ordinary differential equations with small parameters, Comm. Pure and Appl. Math. XXIV (1971) 807–840.

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  • J. A. Morrison, Comparison of the modified method of averaging and the two variable expansion procedure, SIAM Rev. 8 (1966) 66–85.

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  • V. M. Volosov, Averaging in systems of ordinary differential equations, Russian Math Surveys 17 (1962) 1–126.

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Author information

Authors and Affiliations

  1. IBM Research Center, USA

    Willard L. Miranker

  2. New York University, USA

    Frank Hoppensteadt

Authors
  1. Willard L. Miranker
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  2. Frank Hoppensteadt
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Editor information

R. Glowinski J. L. Lions

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© 1974 Springer-Verlag Berlin Heidelberg

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Miranker, W.L., Hoppensteadt, F. (1974). Numerical methods for stiff systems of differential equations related with transistors, tunnel diodes, etc. In: Glowinski, R., Lions, J.L. (eds) Computing Methods in Applied Sciences and Engineering Part 1. Lecture Notes in Computer Science, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015186

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  • DOI: https://doi.org/10.1007/BFb0015186

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06768-9

  • Online ISBN: 978-3-540-38374-1

  • eBook Packages: Springer Book Archive

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