Results 61 to 70 of about 11,022,643 (271)
Explicit two-step Runge-Kutta methods [PDF]
, 1995 summary:The explicit two-step Runge-Kutta (TSRK) formulas for the numerical solution of ordinary differential equations are analyzed. The order conditions are derived and the construction of such methods based on some simplifying assumptions is described.
Zennaro, Marino +2 more
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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
Solving Linear Boundary Value Problem Using Shooting Continuous Explicit Runge-Kutta Method
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper we shall generalize fifth explicit Runge-Kutta Feldberg(ERKF(5)) and Continuous explicit Runge-Kutta (CERK) method using shooting method to solve second order boundary value problem which can be reduced to order one.These methods we ...
Madeha Sh. Yousif, Bushra E. Kashiem
doaj
Economical Runge-Kutta methods
Rendiconti di Matematica e delle Sue Applicazioni, 1995 This paper deals with explicit Runge-Kutta methods of the type \(y_{n + 1} = y_ n + h \sum^ s_{i = 2} b_ i K^ n_ i\), \(K^ n_ i = f(x_ n + c_ ih, y_ n + ha_{i1} K^{n-1}_ s + h \sum^{i - 1}_{j = 2} a_{ij} K^ n_ j)\), with \(b_ 1 = 0\), \(c_ s = 1\). By using information from the previous step one function evaluation is saved.
Costabile Francesco +2 more
openaire +3 more sources
Factorized Runge–Kutta–Chebyshev Methods
Journal of Physics: Conference Series, 2017 The second-order extended stability Factorized Runge-Kutta-Chebyshev (FRKC2) class of explicit schemes for the integration of large systems of PDEs with diffusive terms is presented. FRKC2 schemes are straightforward to implement through ordered sequences of forward Euler steps with complex stepsizes, and easily parallelised for large scale problems on
openaire +3 more sources
, 2021 Runge-Kutta Fehlberg Method for Solving Linear and Nonlinear Fuzzy Fredholm Integro-Differential ...
G Rajchakit (13394391) +6 more
core
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
Academy Journal of Science and Engineering, 2022 Super Runge-Kutta- Nyström (SRKN) method for direct solution of general third order ordinary differential equations (ODEs) is an extension of the Runge-Kutta- Nyström (RKN) for solution of second ODEs.This paper describe and implement by means of a ...
Zamurat A. Adegboye +2 more
doaj
Mixed collocation methods for y” = f(x , y) [PDF]
, 1999 The second-order initial value problem y" = f(x,y), y(x(_0)) = y(_0), y'(x(_0)) = z(_0) which does not contain the first derivative explicitly and where the solution is oscillatory has been of great interest for many years.
Duxbury, S.C., Duxbury, Suzanne Claire
core
Order conditions for partitioned Runge-Kutta methods [PDF]
, 2000 summary:We illustrate the use of the recent approach by P. Albrecht to the derivation of order conditions for partitioned Runge-Kutta methods for ordinary differential ...
Vermiglio, Rossana +2 more
core +1 more source