Results 31 to 40 of about 25,082,508 (331)
Journal of Computational Physics, 2018 Newly developed reconstructed Discontinuous Galerkin (rDG) methods are presented for solving linear advection–diffusion equations on hybrid unstructured grids based on a first-order hyperbolic system (FOHS) formulation.
Jialin Lou +3 more
semanticscholar +1 more source
A Conformal Hyperbolic Formulation of the Einstein Equations [PDF]
, 1999 We propose a re-formulation of the Einstein evolution equations that cleanly separates the conformal degrees of freedom and the non-conformal degrees of freedom with the latter satisfying a first order strongly hyperbolic system. The conformal degrees of
Alcubierre, Miguel +3 more
core +2 more sources
Mixed problem for quasilinear hyperbolic system with coefficients functionally dependent on solution
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 The mixed problem for quasilinear hyperbolic system with coefficients functionally dependent on the solution is studied. We assume that the coefficients are continuous nonlinear operators in the Banach space C1(ℝ) satisfying some additional assumptions ...
Zdanowicz Małgorzata +1 more
doaj +1 more source
Mathematical Modelling and Analysis, 2019 A numerical method for simulating transient flows of gas-liquid mixtures is proposed. The mathematical model, established for a suspension of gas bubbles in liquid, includes an equation taking into account the relative velocity between the gas and liquid.
Boujemâa Achchab +2 more
doaj +1 more source
On the Relation of Delay Equations to First-Order Hyperbolic Partial Differential Equations [PDF]
, 2013 This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations.
Karafyllis, Iasson, Krstic, Miroslav
core +1 more source
Asymptotics of the solution of the hyperbolic system with a small parameter
MANAS: Journal of Engineering, 2022 Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is ...
Asan Omuraliev, Ella Abylaeva
doaj +1 more source
Geodesic systems of tunnels in hyperbolic 3-manifolds [PDF]
, 2013 It is unknown whether an unknotting tunnel is always isotopic to a geodesic in a finite volume hyperbolic 3-manifold. In this paper, we address the generalization of this problem to hyperbolic 3-manifolds admitting tunnel systems.
Jessica, S. Purcell, Stephan D. Burton
core +1 more source
Construction of a Curvilinear Grid [PDF]
, 1983 The construction of overlapping grids is explained and applied to a system of hyperbolic differential ...
Kreiss, Barbro
core +1 more source
Supercritical geometric optics for nonlinear Schrodinger equations [PDF]
, 2007 We consider the small time semi-classical limit for nonlinear Schrodinger equations with defocusing, smooth, nonlinearity. For a super-cubic nonlinearity, the limiting system is not directly hyperbolic, due to the presence of vacuum.
Alazard, Thomas, Carles, Rémi
core +1 more source
A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation [PDF]
, 2017 In this paper we consider the development of Implicit-Explicit (IMEX) Runge-Kutta schemes for hyperbolic systems with multiscale relaxation. In such systems the scaling depends on an additional parameter which modifies the nature of the asymptotic ...
Boscarino, S., Pareschi, L., Russo, G.
core +2 more sources