Beyond hydrogen: Process design of a biogas steam reformer for Fischer–Tropsch synthesis
The Canadian Journal of Chemical Engineering, EarlyView.The effect of pressure and steam to carbon ratio on carbon conversion. Abstract We present an analysis of a pilot‐scale multi‐tubular biogas steam reforming reactor, part of a sustainable aviation fuel (SAF) development project in Brazil. The novelty of this work is the application of a new, validated power law kinetic model, specifically developed for
Rafael Belo Duarte +3 more
wiley +1 more source
Volterra Runge- Kutta Methods for Solving Nonlinear Volterra Integral Equations
مجلة بغداد للعلوم, 2010 In this paper Volterra Runge-Kutta methods which include: method of order two and four will be applied to general nonlinear Volterra integral equations of the second kind. Moreover we study the convergent of the algorithms of Volterra Runge-Kutta methods.
Baghdad Science Journal
doaj +1 more source
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.
core +1 more source
Irksome: Automating Runge–Kutta Time-stepping for Finite Element Methods [PDF]
, 2021 Patrick E. Farrell +2 more
openalex +1 more source
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
core
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
core +1 more source
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
core +1 more source