Results 31 to 40 of about 430,778 (289)
Vertical stability of circular orbits in relativistic razor-thin disks [PDF]
During the last few decades, there has been a growing interest in exact solutions of Einstein equations describing razor-thin disks. Despite the progress in the area, the analytical study of geodesic motion crossing the disk plane in these systems is not
Ramos-Caro, Javier +2 more
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A New Approach for the Black–Scholes Model with Linear and Nonlinear Volatilities
Since financial engineering problems are of great importance in the academic community, effective methods are still needed to analyze these models. Therefore, this article focuses mainly on capturing the discrete behavior of linear and nonlinear Black ...
Seda Gulen, Catalin Popescu, Murat Sari
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The modified Burgers’ equation has application in various fields such as explosions and sonic boom theory, propagation of torsional waves in thin circular viscoelastic rod, acoustic waves produced by laser radiations, etc.
Ravneet Kaur +4 more
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Extended modified cubic B-spline algorithm for nonlinear Burgers' equation
In this paper, an extended modified cubic B-Spline differential quadrature method is proposed to approximate the solution of the nonlinear Burgers' equation. The proposed method is used in space and a five-stage and four order strong stability-preserving
Mohammad Tamsir +2 more
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Strong stability preserving explicit peer methods
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zoltán Horváth +2 more
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Strong Stability Preserving Runge–Kutta and Linear Multistep Methods
AbstractThis paper reviews strong stability preserving discrete variable methods for differential systems. The strong stability preserving Runge–Kutta methods have been usually investigated in the literature on the subject, using the so-called Shu–Osher representation of these methods, as a convex combination of first-order steps by forward Euler ...
Izzo G., Jackiewicz Z.
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Numerical Simulation of a Space-Fractional Molecular Beam Epitaxy Model without Slope Selection
In this paper, we introduce a space-fractional version of the molecular beam epitaxy (MBE) model without slope selection to describe super-diffusion in the model. Compared to the classical MBE equation, the spatial discretization is an important issue in
Hyun Geun Lee
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Strong Stability Preserving Properties of Composition Runge–Kutta Schemes [PDF]
In this paper Strong Stability Preserving (SSP) properties of Runge Kutta methods obtained by com- posing k different schemes with different step sizes are studied. The SSP coefficient of the composition method is obtained and an upper bound on this coefficient is given. Some examples are shown.
I. Higueras, T. Roldán
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Propagation of internal errors in explicit Runge--Kutta methods and internal stability of SSP and extrapolation methods [PDF]
In practical computation with Runge--Kutta methods, the stage equations are not satisfied exactly, due to roundoff errors, algebraic solver errors, and so forth.
Ketcheson, David I. +2 more
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Discontinuous Galerkin (DG) method is a popular high-order accurate method for solving unsteady convection-dominated problems. After spatially discretizing the problem with the DG method, a time integration scheme is necessary for evolving the result ...
Liang Li, Songping Wu
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