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A Runge-Kutta procedure for the goursat problem in hyperbolic partial differential equations

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References

  1. Diaz, J. B.: On an analogue of the Euler-Cauchy polygon method for the numerical solution of ux,y=f(x,y,u,ux,uy). Arch. Rational Mech. Anal. 1, 357–390 (1958).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Kutta, W.: Beitrag zur näherungsweisen Integration totaler Differentialgleichungen. Z. Math. Phys. 46, 435–453 (1901).

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  3. Moore, R. H.: On approximate solutions of non-linear hyperbolic partial differential equations. Arch. Rational Mech. Anal. 6, 75–88 (1960).

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  4. Prasad, G.: Six Lectures on Mean Value Theorems of Differential Calculus. Univ. of Calcutta, 1931.

  5. Runge, C.: Über die Numerische Auflösung von Differentialgleichungen. Math. Ann. 46, 167–178 (1895).

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  1. Mathematics Research Center-U.S.Army University of Wisconsin, Madison, Wisconsin

    Robert H. Moore

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  1. Robert H. Moore
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Communicated by L. Cesari

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Moore, R.H. A Runge-Kutta procedure for the goursat problem in hyperbolic partial differential equations. Arch. Rational Mech. Anal. 7, 37–63 (1961). https://doi.org/10.1007/BF00250749

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