107 citations · 3.2k across the 144 of their papers we have counts for
6 papers · 1 filter
Error estimation for numerical approximations of ODEs via composition techniques. Part II: BDF methods
Ahmad Deeb, Denys Dutykh, Maryam Al Zohbi
Integration of Ordinary Differential Equations (ODEs) using Backward Difference formula (BDF) methods with p backward steps achieves order p accuracy if specific conditions are met…
Uncovering a Paleotsunami Triggered by Mass-Movement in an Alpine Lake
Muhammad Naveed Zafar, Denys Dutykh, Pierre Sabatier +2
Mass movements and delta collapses are significant sources of tsunamis in lacustrine environments, impacting human societies enormously. Palaeotsunamis play an essential role in un…
On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization
Angel Durán, Denys Dutykh, Dimitrios Mitsotakis
In this paper we consider the numerical approximation of systems of Boussinesq-type to model surface wave propagation. Some theoretical properties of these systems (multi-symplecti…
How to overcome the Courant-Friedrichs-Lewy condition of explicit discretizations?
Denys Dutykh
This manuscript contains some thoughts on the discretization of the classical heat equation. Namely, we discuss the advantages and disadvantages of explicit and implicit schemes. T…
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…