262 citations
- Centre National de la Recherche ScientifiqueFR35 papers
- Université Savoie Mont BlancFR32 papers
- Le LAMAFR21 papers
- Pontifícia Universidade Católica do ParanáBR16 papers
- Institut National des Sciences Mathématiques et de leurs InteractionsFR13 papers
- Université Grenoble AlpesFR8 papers
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- Arcetri Astrophysical ObservatoryIT5 papers
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physics.class-ph2019★ 34 cited
Long wave interaction with a partially immersed body. Part I: Mathematical models
Gayaz Khakimzyanov, Denys Dutykh
In the present article we consider the problem of wave interaction with a partially immersed, but floating body. We assume that the motion of the body is prescribed. The general ma…
physics.class-ph2013★ 5 cited
Numerical study of the generalised Klein-Gordon equations
Denys Dutykh, Marx Chhay, Didier Clamond
In this study, we discuss an approximate set of equations describing water wave propagating in deep water. These generalized Klein-Gordon (gKG) equations possess a variational form…
physics.class-ph2012★ 39 cited
Geometric numerical schemes for the KdV equation
Denys Dutykh, Marx Chhay, Francesco Fedele
Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous s…