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Monotonic difference schemes for weakly coupled systems of parabolic differential equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 109)

Keywords

  • Parabolic Equation
  • Extremum Principle
  • Suitable Constant
  • Parabolic Boundary
  • Numerical Case Study

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References

  1. L. Collatz: Funktionalanalysis und Numerische Mathematik, Springer-Verlag, Berlin, 1964.

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  2. J. Douglas: A survey of numerical methods for parabolic differential equations. Advances in Computers 2 (1961), 1–54, Academic Press,London.

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  4. R. Krawczyk: Uber Differenzenverfahren bei parabolischen Differentialgleichungen. Arch. Rat. Mech. Anal. 13 (1963) 81–121.

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  5. V.S. Rjabenki and A.F. Filippow: Uber die Stabilitat von Differenzengleichungen. Translated from Russian. Deutscher Verlag der Wissenschaften, Berlin 1960.

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  6. M.E. Rose: On the integration of non-linear parabolic equations by implicit difference methods. Quart. Appl. Math. 14 (1956/57) 237–248.

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  7. V.K. Saulyev: Integration of equations of parabolic type by the method of nets. Translated from Russian. Pergamon Press, Oxford, 1964.

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  8. W. Walter: Differential — und Integral-Ungleichungen. Springer-Verlag, Berlin 1964.

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© 1969 Springer-Verlag

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Gorenflo, R. (1969). Monotonic difference schemes for weakly coupled systems of parabolic differential equations. In: Morris, J.L. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060023

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  • DOI: https://doi.org/10.1007/BFb0060023

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04628-8

  • Online ISBN: 978-3-540-36158-9

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