135 citations
- Siberian Branch of the Russian Academy of SciencesRU16 papers
- Novosibirsk State UniversityRU15 papers
- Centre National de la Recherche ScientifiqueFR13 papers
- Le LAMAFR10 papers
- Université Savoie Mont BlancFR10 papers
- Institut National des Sciences Mathématiques et de leurs InteractionsFR6 papers
- University of RostockDE6 papers
- Aston UniversityGB5 papers
- Institute of Automation and ElectrometryRU5 papers
- University of PisaIT5 papers
- Institut de Physique de NiceFR3 papers
- Institute of Computational Mathematics and Mathematical GeophysicsRU3 papers
5 papers · 1 filter
Introducing phase jump tracking -- a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem
Igor Chekhovskoy, Sergey Medvedev, Irina Vaseva +2
We propose a new method for finding discrete eigenvalues for the direct Zakharov-Shabat problem, based on moving in the complex plane along the argument jumps of the function $a(ζ)…
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…
Interval regularization for imprecise linear algebraic equations
Sergey P. Shary
In this paper, we consider the solution of ill-conditioned systems of linear algebraic equations that can be determined imprecisely. To improve the stability of the solution proces…
Numerical simulation of conservation laws with moving grid nodes: Application to tsunami wave modelling
Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis +1
In the present article we describe a few simple and efficient finite volume type schemes on moving grids in one spatial dimension combined with appropriate predictor-corrector meth…
On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
Gayaz Khakimzyanov, Denys Dutykh
In the present study we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon. We…