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A Runge-Kutta procedure for the Goursat problem in hyperbolic partial differential equations. (English) Zbl 0097.12004


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[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). · Zbl 0084.11501 · doi:10.1007/BF00298015
[2] Kutta, W.: Beitrag zur näherungsweisen Integration totaler Differentialgleichungen. Z. Math. Phys. 46, 435-453 (1901).
[3] Moore, R. H.: On approximate solutions of non-linear hyperbolic partial differential equations. Arch. Rational Mech. Anal. 6, 75-88 (1960). · Zbl 0099.33604 · doi:10.1007/BF00276155
[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). · doi:10.1007/BF01446807
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