P
P. K. Sweby
Researcher at University of Reading
Publications - 32
Citations - 3281
P. K. Sweby is an academic researcher from University of Reading. The author has contributed to research in topics: Nonlinear system & Computational fluid dynamics. The author has an hindex of 14, co-authored 32 publications receiving 3069 citations.
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High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
TL;DR: The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is described in this article.
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Formulations for Numerically Approximating Hyperbolic Systems Governing Sediment Transport
Justin Hudson,P. K. Sweby +1 more
TL;DR: This paper investigates the accurate numerical solution of the equations governing bed-load sediment transport and two approaches: a steady and an unsteady approach are discussed and five different formulations within these frameworks are derived.
Dynamical Approach Study of Spurious Steady-State Numerical Solutions of Nonlinear Differential Equations
Helen C. Yee,P. K. Sweby +1 more
TL;DR: The theory of nonlinear dynamics approach is utilized to investigate the possible sources of errors and slow convergence and nonconvergence of steady-state numerical solutions when using the time-dependent approach for nonlinear hyperbolic and parabolic partial differential equations terms.
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Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I. The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics☆
TL;DR: In this paper, the authors studied the dynamical behavior of finite difference methods for nonlinear scalar DEs and showed that the dynamic behavior of nonlinear DEs is scheme dependent and problem dependent, but also initial data and boundary condition dependent.
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On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
TL;DR: In this paper, both analytically and computationally, Runge-Kutta schemes applied to the logistic equation u'=f(u), for f(u)=αu(1-u) and f(U)=α u(1u)(b-u), contrasting their behaviour with the explicit Euler scheme.