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Titlebook: Computing Methods in Applied Sciences and Engineering, 1977. Third International Symposium, December; Part 2 R. Glowinski,J. L. Lions Confe

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,Methode des flux corriges pour l’equation de continuite,Nous avons étudié ici l‘influence des termes de dissipation et d‘antidissipation sur la précision et la stabilité des schémas. La stabilité de ce type de schémas a par ailleurs été étudiée dans [5] et [6]. L‘influence de l‘antidissipation corrigée sur la stabilité est pour l‘instant un problème assez ouvert [4].
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Numerical solution of transport problems in high temperature plasmas,Particle and energy transport in magnetically confined plasmas is described by large systems of coupled nonlinear and quasilinear partial integro-differential equations. Examples are given and the numerical methods for their solution are outlined. It is pointed out that the rigorous mathematical basis of these methods is very small.
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The use of finite element methods in non linear evolutionary problems as met in weather forecastingof the solution. The results obtained are consistent with the error estimates but the rate of convergence to the solution in meteorological problems is much slower than that suggested by asymptotic error estimates. For these problems other sources of error than just numerical models need to be examined.
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