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Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. (English) Zbl 0405.65057


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35L15 Initial value problems for second-order hyperbolic equations
35L20 Initial-boundary value problems for second-order hyperbolic equations
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References:

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[8] 8 M CROUZEIX, Sur l’approximation des equations differentielles operationnelles lineaires par des methodes de Runge-Kutta, These, Univ de Pans VI, 1975
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[10] 10 J NITSCHE, Uber ein Vartationspnnzip zur Losung von Dirichlet-Problemen bei Verwendung von Teilraumen, die keinen Randbedingungen unterworfen sind, A B H Math Sem, Univ Hamburg, 36, 1971, p 9-15 Zbl0229.65079 MR341903 · Zbl 0229.65079 · doi:10.1007/BF02995904
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[12] 12 S P NØRSETT, One step methods of Hermite type for numencal integration of stiff systems, B I T 14, 1974, p 63-77 Zbl0278.65078 MR337014 · Zbl 0278.65078 · doi:10.1007/BF01933119
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