An exponential-type integrator for the KdV equation
About
We introduce an exponential-type time-integrator for the KdV equation and prove its first-order convergence in $H^1$ for initial data in $H^3$. Furthermore, we outline the generalization of the presented technique to a second-order method.
Martina Hofmanova, Katharina Schratz• 2016
Related benchmarks
| Task | Dataset | Result | Rank | |
|---|---|---|---|---|
| Numerical Integration | KdV equation T=1.0, N=1024, γ=0.5 | L2 Error (τ=2^-4)0.0081 | 4 |
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