Results 21 to 30 of about 5,428 (96)
Optimal monotonicity-preserving perturbations of a given Runge-Kutta method [PDF]
, 2018 Perturbed Runge--Kutta methods (also referred to as downwind Runge--Kutta methods) can guarantee monotonicity preservation under larger step sizes relative to their traditional Runge--Kutta counterparts.
Higueras, Inmaculada +2 more
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Gravitational Collapse in Einstein dilaton Gauss-Bonnet Gravity
, 2019 We present results from a numerical study of spherical gravitational collapse in shift symmetric Einstein dilaton Gauss-Bonnet (EdGB) gravity. This modified gravity theory has a single coupling parameter that when zero reduces to general relativity (GR ...
Pretorius, Frans, Ripley, Justin L
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Parabolic regularization of the gradient catastrophes for the Burgers-Hopf equation and Jordan chain
, 2018 Non-standard parabolic regularization of gradient catastrophes for the Burgers-Hopf equation is proposed. It is based on the analysis of all (generic and higher order) gradient catastrophes and their step by step regularization by embedding the Burgers ...
Konopelchenko, B. G., Ortenzi, G.
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Mixed Hyperbolic - Second-Order Parabolic Formulations of General Relativity
, 2008 Two new formulations of general relativity are introduced. The first one is a parabolization of the Arnowitt, Deser, Misner (ADM) formulation and is derived by addition of combinations of the constraints and their derivatives to the right-hand-side of ...
B. Gustafsson +5 more
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AdS nonlinear instability: moving beyond spherical symmetry
, 2016 Anti-de Sitter (AdS) is conjectured to be nonlinear unstable to a weakly turbulent mechanism that develops a cascade towards high frequencies, leading to black hole formation [1,2].
Dias, Oscar J. C., Santos, Jorge E.
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Hyperboloidal slices for the wave equation of Kerr-Schild metrics and numerical applications
, 2012 We present new results from two open source codes, using finite differencing and pseudo-spectral methods for the wave equations in (3+1) dimensions. We use a hyperboloidal transformation which allows direct access to null infinity and simplifies the ...
Burko L M +19 more
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Fully pseudospectral time evolution and its application to 1+1 dimensional physical problems
, 2012 It was recently demonstrated that time-dependent PDE problems can numerically be solved with a fully pseudospectral scheme, i.e. using spectral expansions with respect to both spatial and time directions (Hennig and Ansorg, 2009 [15]). This was done with
Hennig, Jörg
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, 2008 We review our results on a mathematical dynamical theory for observables for open many-body quantum nonlinear bosonic systems for a very general class of Hamiltonians.
Berman, Gennady P. +2 more
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, 2015 We introduce a minimization formulation for the determination of a finite-dimensional, time-dependent, orthonormal basis that captures directions of the phase space associated with transient instabilities.
Babaee, Hessam, Sapsis, Themistoklis
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Pearling and Pinching: Propagation of Rayleigh Instabilities
, 1996 A new category of front propagation problems is proposed in which a spreading instability evolves through a singular configuration before saturating.
A. Friedman +26 more
core +2 more sources