Essai de résolution numérique du problème de Goursat par la méthode de Runge-Kutta pour une équation aux dérivées partielles du type hyperbolique
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EDP Sciences
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http://www.esaim-m2an.org/10.1051/m2an/1967010100671/pdf
Reference16 articles.
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2. Aziz A. K. and HUBBARD B. E., Bounds on the Truncation error by Finite Difference for the Goursat Problem (Mathematics of computation , Jan. 1964, Vol. 18, n° 85, p. 19).1603370141.33003
3. BUCHANAN , A necessary and sufficient condition for stability of difference schemes for initial values problems (J. Soc. Indust. Appl. Math., 11, 1963, p. 919-935].1603240221.65144
4. CONLAN J., The Cauchy Problem and the mixed Boundary Value Problem for a non-Linear Hyperbolic Partial Differential equation in two independant variables (Archive for Rational mechanics and Analysis, Vol. 3, n° 4, 1959).1070920093.31203
5. DIAZ J. B., On the analogue of the Euler-Cauchy Polygon method for the numerical solution of u x y = f ( x , y , u , u x , u y ) $u_{xy}=f(x,y,u,u_x,u_y)$ (Archive for Rational mechanics and Analysis, Vol. 1, n° 4, 1958, p. 357).1040410084.11501
Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Reduction of Roundoff Error by Splitting of Difference Formulas;SIAM Journal on Numerical Analysis;1971-06
2. On the structure of error estimates for finite-difference methods;Numerische Mathematik;1971-02
3. Round-off error in the numerical solution of second order differential equations;Lecture Notes in Mathematics;1969
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