1, Differential equations in one space dimension. The simplest hyperbolic differential equation is given by (1.1) du/dt = cdu/dx, where c is a constant, Its general solution is u(x, t) — F(x + ci), i.e., it is constant along the "characteristic lines" x + ct = const (see Figure 1). Therefore, if we u(l,t) = g(t) u(0,t)*g(t want to determine the solution of (1.1) in the region 0 ^ x ^ 1, t ja 0, we have to describe initial conditions (1.2) u(x,0)=f(x), for t = 0 and boundary conditions u(l,t… CONTINUE READING

A simple scheme for generating general curvilinear grids

A. A. Amsden, C. W. Hirt

J. Computational Physics II

1973

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S. Osher

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D. G. Schaeffer

MR

1972

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J. Rauch

Pure Appi. Math

1972

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G. Scherer, S. Osher

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H.-O, Kreiss

Appi. Math

1970

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R. Sakamoto

J. Math. Kyoto Univ,

1970

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R. Hersh

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1963

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Problèmes mixtes pour les équations hyperboliques d'ordre supérieur, Les Équations aux Dérivées