Výsledky vyhledávání - "Hadjimichael, Yiannis"

Dissertation/ Thesis

Perturbed Strong Stability Preserving Time-Stepping Methods For Hyperbolic PDEs

Autor: Hadjimichael, Yiannis

A plethora of physical phenomena are modelled by hyperbolic partial differential equations, for which the exact solution is usually not known. Numerical methods are employed to approximate the solution to hyperbolic problems; however, in many cases i

Externí odkaz: http://hdl.handle.net/10754/625526

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Positivity preservation of implicit discretizations of the advection equation

Autor: Hadjimichael, Yiannis, Ketcheson, David I., Lóczi, Lajos

We analyze, from the viewpoint of positivity preservation, certain discretizations of a fundamental partial differential equation, the one-dimensional advection equation with periodic boundary condition. The full discretization is obtained by couplin

Externí odkaz: http://arxiv.org/abs/2105.07403

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High order discretization methods for spatial-dependent epidemic models

Autor: Takács, Bálint, Hadjimichael, Yiannis

Publikováno v: Math. Comput. Simulation 198 (2022), pp. 211-236

In this paper, an epidemic model with spatial dependence is studied and results regarding its stability and numerical approximation are presented. We consider a generalization of the original Kermack and McKendrick model in which the size of the popu

Externí odkaz: http://arxiv.org/abs/1909.01330

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Akademický článek

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Strong-stability-preserving additive linear multistep methods

Autor: Hadjimichael, Yiannis, Ketcheson, David I.

Publikováno v: Math. Comp. 87 (2018), 2295-2320

The analysis of strong-stability-preserving (SSP) linear multistep methods is extended to semi-discretized problems for which different terms on the right-hand side satisfy different forward Euler (or circle) conditions. Optimal additive and perturbe

Externí odkaz: http://arxiv.org/abs/1601.03637

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Strong stability preserving explicit linear multistep methods with variable step size

Autor: Hadjimichael, Yiannis, Ketcheson, David, Lóczi, Lajos, Németh, Adrián

Publikováno v: SIAM J. Numer. Anal. 54-5 (2016), pp. 2799-2832

Strong stability preserving (SSP) methods are designed primarily for time integration of nonlinear hyperbolic PDEs, for which the permissible SSP step size varies from one step to the next. We develop the first SSP linear multistep methods (of order

Externí odkaz: http://arxiv.org/abs/1504.04107

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Strong stability preserving explicit Runge-Kutta methods of maximal effective order

Autor: Hadjimichael, Yiannis, Macdonald, Colin B., Ketcheson, David I., Verner, James H.

Publikováno v: SIAM J. Numer. Anal. 51-4 (2013), pp. 2149-2165

We apply the concept of effective order to strong stability preserving (SSP) explicit Runge-Kutta methods. Relative to classical Runge-Kutta methods, methods with an effective order of accuracy are designed to satisfy a relaxed set of order condition

Externí odkaz: http://arxiv.org/abs/1207.2902

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