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Stability analysis of Eulerian-Lagrangian methods for the one-dimensional shallow-water equations

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Publication:911888
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DOI10.1016/0307-904X(90)90045-7zbMath0697.76026MaRDI QIDQ911888

Vincenzo Casulli, Ralph Ta-shun Cheng

Publication date: 1990

Published in: Applied Mathematical Modelling (Search for Journal in Brave)


zbMATH Keywords

finite difference methodscombined Eulerian-Lagrangian approachCourant-Isaacson-Rees methodexplicit Eulerian-Lagrangian methodone-dimensional shallow-water equationssemi-implicit finite difference methods


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)


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Hidden invariant convexity for global and conic-intersection optimality guarantees in discrete-time optimal control



Cites Work

  • Pressure method for the numerical solution of transient, compressible fluid flows
  • On the solution of nonlinear hyperbolic differential equations by finite differences
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