Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system
, 2002 We consider spherically symmetric, asymptotically flat space-times with a collisionless gas as matter model. Many properties of the resulting Vlasov-Einstein system are not yet accessible by purely analytical means.
Rein, Gerhard, Rodewis, Thomas
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Imprecise continuous-time Markov chains : efficient computational methods with guaranteed error bounds [PDF]
, 2017 Imprecise continuous-time Markov chains are a robust type of continuous-time Markov chains that allow for partially specified time-dependent parameters. Computing inferences for them requires the solution of a non-linear differential equation.
De Bock, Jasper, Erreygers, Alexander
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Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System
Mathematics, 2020 The main goal of this paper is to present an analytical integration in connection with the geometrical frame given by the Hamilton–Poisson formulation of a specific case of Chen’s system. In this special case we construct an analytic approximate solution
Remus-Daniel Ene +2 more
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Calculating Luminosity Distance versus Redshift in FLRW Cosmology via Homotopy Perturbation Method
, 2016 We propose an efficient analytical method for estimating the luminosity distance in a homogenous Friedmann-Lema\^itre-Robertson-Walker (FLRW) model of the Universe.
Shchigolev, V. K.
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Dynamical system of a time-delayed of rigid rocking rod: analytical approximate solution. [PDF]
Sci Rep, 2023 Moatimid GM, Amer TS.
europepmc +1 more source
Non-linear diffusive shock acceleration with free escape boundary
, 2010 We present here a semi-analytical solution of the problem of particle acceleration at non-linear shock waves with a free escape boundary at some location upstream.
Amato, E., Blasi, P., Caprioli, D.
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Shock and Vibration, 2017 The primary resonance of van der Pol oscillator under fractional-order delayed negative feedback and forced excitation is studied. Firstly, the approximate analytical solution is obtained based on the averaging method, and it could be found that the ...
Jufeng Chen +3 more
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Nonlinear Vibration Problem of Launch Vehicle Carrying a Moving Time-Dependent Mass [PDF]
, 2016 In the present study, an analytical solution for nonlinear vibration problem of launch vehicle as a flexible beam model carrying moving with constant velocity mass which is time function is proposed. The nonlinear third and fifth order terms of partial
Gristchak, D. D.
core
1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems
, 2007 Using an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition, we compute the characteristic time for one step of period doubling in Langer's self similar scenario for Ostwald ...
Abramowitz +28 more
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More on analytically approximate solution to quadratic gravity
Annals of Physics23 pages, 14 figures, 4 tables.
Seyed Naseh Sajadi +1 more
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