Results 71 to 80 of about 81,957 (247)
Another approach to Runge-Kutta methods [PDF]
, 2004 The condition equations are derived by the introduction of a system of equivalent differential equations, avoiding the usual formalism with trees and elementary differentials.
Traas, C.R.
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Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
Contributions to Plasma Physics, EarlyView.ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
wiley +1 more source
Optimal Explicit Strong Stability Preserving Runge--Kutta Methods with High Linear Order and optimal Nonlinear Order [PDF]
, 2014 High order spatial discretizations with monotonicity properties are often desirable for the solution of hyperbolic PDEs. These methods can advantageously be coupled with high order strong stability preserving time discretizations.
Gottlieb, Sigal +2 more
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Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves
, 2018 This work presents algorithms for the efficient implementation of discontinuous Galerkin methods with explicit time stepping for acoustic wave propagation on unstructured meshes of quadrilaterals or hexahedra.
Kormann, Katharina +3 more
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Stability Bounds for the Generalized Kadanoff‐Baym Ansatz in the Holstein Dimer
Contributions to Plasma Physics, EarlyView.ABSTRACT Predicting real‐time dynamics in correlated systems is demanding: exact two‐time Green's function methods are accurate but often too costly, while the Generalized Kadanoff‐Baym Ansatz (GKBA) offers time‐linear propagation at the risk of uncontrolled behavior. We examine when and why GKBA fails in a minimal yet informative setting, the Holstein
Oscar Moreno Segura +2 more
wiley +1 more source
A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs
Journal of Applied Mathematics, 2019 In this paper, a new class of two-derivative two-step Runge-Kutta (TDTSRK) methods for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equation (ODEs) is considered.
I. B. Aiguobasimwin, R. I. Okuonghae
doaj +1 more source
More efficient time integration for Fourier pseudo-spectral DNS of incompressible turbulence
, 2019 Time integration of Fourier pseudo-spectral DNS is usually performed using the classical fourth-order accurate Runge--Kutta method, or other methods of second or third order, with a fixed step size.
Ketcheson, David I. +3 more
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International Journal for Numerical Methods in Fluids, EarlyView.This study presents an efficient method to compute polymer stress‐tensor components in viscoelastic laminar jet flows using models such as Oldroyd‐B, Giesekus, PTT, and FENE. By assuming a stationary and parallel flow, the methodology significantly reduces computational cost.
Rafael de Lima Sterza +3 more
wiley +1 more source
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, EarlyView.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
Implicit Runge-Kutta Methods for Accelerated Unconstrained Convex Optimization
IEEE Access, 2020 Accelerated gradient methods have the potential of achieving optimal convergence rates and have successfully been used in many practical applications. Despite this fact, the rationale underlying these accelerated methods remain elusive.
Ruijuan Chen, Xiuting Li
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