31 citations · 66 across the 8 of their papers we have counts for
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Fast Computation of the Direct Scattering Transform by Fourth Order Conservative Multi-Exponential Scheme
Sergey Medvedev, Igor Chekhovskoy, Irina Vaseva +1
A fourth-order multi-exponential scheme is proposed for the Zakharov-Shabat system. The scheme represents a product of 13 exponential operators. The construction of the scheme is b…
Exponential Fourth Order Schemes for Direct Zakharov-Shabat problem
Sergey Medvedev, Irina Vaseva, Igor Chekhovskoy +1
We propose two finite-difference algorithms of fourth order of accuracy for solving the initial problem of the Zakharov-Shabat system. Both schemes have the exponential form and co…
Novel Numerical Algorithm with Fourth-Order Accuracy for the Direct Zakharov-Shabat Problem
Sergey Medvedev, Irina Vaseva, Igor Chekhovskoy +1
We propose a new high-precision algorithm for solving the initial problem for the Zakharov-Shabat system. This method has the fourth order of accuracy and is a generalization of th…