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math.NA2017
Behaviour of the Serre Equations in the Presence of Steep Gradients Revisited
Jordan Pitt, Christopher Zoppou, Stephen Roberts
We use numerical methods to study the behaviour of the Serre equations in the presence of steep gradients because there are no known analytical solutions for these problems. In kee…
math.NA2016
Third-order Finite Volume/Finite Element Solution of the Fully Nonlinear Weakly Dispersive Serre Equations
Christopher Zoppou, Jordan Pitt, Stephen G. Roberts
The nonlinear weakly dispersive Serre equations contain higher-order dispersive terms. This includes a mixed derivative flux term which is difficult to handle numerically. The mix…