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Zur Randwerttechnik bei der Lösung schwach nichtlinearer parabolischer Differentialgleichungen

  • II. Näherungsverfahren Für nichtlineare Anfangswertaufgaben Und Anfangsrandwertaufgaben
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Book cover Numerische Lösung nichtlinearer partieller Differential- und Integrodifferentialgleichungen

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 267))

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Literaturverzeichnis

  1. Amann, H.: Über die Existenz und iterative Berechnung einer Lösung der Hammersteinschen Gleichung. Aequ. math. 1 (1968), 242–266.

    Article  MathSciNet  MATH  Google Scholar 

  2. Carasso, A.: Long-range numerical solution of mildly non-linear parabolic equations. Numer. Math. 16 (1971), 304–321.

    Article  MathSciNet  MATH  Google Scholar 

  3. Carasso, A., Parter, S.V.: An analysis of "boundary-value techniques" for parabolic problems. Mathem. Computation 24 (1970), 315–340.

    MathSciNet  MATH  Google Scholar 

  4. Friedman, A.: Partial differential equations of parabolic type. Englewood Cliffs, New Jersey: Prentice-Hall 1964.

    MATH  Google Scholar 

  5. Gekeler, E.: Über das Einzelschrittverfahren bei monotonen Gleichungssystemen. Erscheint in der Zeitschrift "Methoden und Verfahren der Math. Physik" (Bibliograph. Inst. Mannheim).

    Google Scholar 

  6. Greenspan, D.: Lectures on the numerical solution of linear, singular, and nonlinear differential equations. Englewood Cliffs, New Jersey: Prentice-Hall 1968.

    Google Scholar 

  7. Kolesov, Ju.S.: Periodic solutions of second order quasilinear equations (russ.). Trudy Moskov. Mat. Obšč. 21 (1970), 103–134.

    MathSciNet  MATH  Google Scholar 

  8. Kružkov, S.N.: Periodic Solutions of nonlinear second order parabolic equations (russ.). Differencial'nye Uravnenija 6 (1970), 731–740.

    Google Scholar 

  9. Minty, G.J.: On a ‘monotonicity’ method for the solution of nonlinear equations in Banach spaces. Proc. Nat. Acad. Sci. USA 50 (1963), 1038–1041.

    Article  MathSciNet  MATH  Google Scholar 

  10. Niethammer, W.: Relaxation bei nichtsymmetrischen Matrizen. Math. Zeitschrift 85 (1964), 319–327.

    Article  MathSciNet  MATH  Google Scholar 

  11. —: Iterationsverfahren und allgemeine Euler-Verfahren. Math. Zeitschrift 102 (1967), 288–317.

    Article  MathSciNet  MATH  Google Scholar 

  12. Shmulev, I.: Periodic solutions of the first boundary value problem for parabolic equations (russ.). Mat. Sbornik 66 (1965), 398–410.

    Google Scholar 

  13. Ton, B.A.: Mixed initial boundary-value problems for semi-linear parabolic equations. Duke Math. J. 34 (1967), 481–491.

    Article  MathSciNet  MATH  Google Scholar 

  14. Varga, R.S.: Matrix iterative analysis. Englewood Cliffs, New Jersey: Prentice-Hall 1962.

    Google Scholar 

  15. Young, D.: Iterative methods for solving partial differential equations of elliptic type. Trans. Am. Math. Soc. 76 (1954), 92–111.

    Article  MATH  Google Scholar 

  16. Young, D.: Iterative solution of large linear systems. New York-London: Academic Press 1971.

    MATH  Google Scholar 

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R. Ansorge W. Törnig

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© 1972 Springer-Verlag Berlin · Heidelberg

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Gekeler, E. (1972). Zur Randwerttechnik bei der Lösung schwach nichtlinearer parabolischer Differentialgleichungen. In: Ansorge, R., Törnig, W. (eds) Numerische Lösung nichtlinearer partieller Differential- und Integrodifferentialgleichungen. Lecture Notes in Mathematics, vol 267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061614

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  • DOI: https://doi.org/10.1007/BFb0061614

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