Results 61 to 70 of about 11,954,654 (221)

Variational Partitioned Runge–Kutta Methods for Lagrangians Linear in Velocities

Mathematics, 2019
In this paper, we construct higher-order variational integrators for a class of degenerate systems described by Lagrangians that are linear in velocities.
Tomasz M. Tyranowski, Mathieu Desbrun
doaj   +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, Yaroslav Pavlyukh, Riku Tuovinen   +2 more
wiley   +1 more source

Evolutionary Optimisation of Runge–Kutta Methods for Oscillatory Problems

Mathematics
We propose a new strategy for constructing Runge–Kutta (RK) methods using evolutionary computation techniques, with the goal of directly minimising global error rather than relying on traditional local properties.
Zacharias A. Anastassi
doaj   +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

Coupling Fluid Neutrals to Gyrokinetic Plasma Dynamics for Edge and SOL Turbulence Simulations

Contributions to Plasma Physics, EarlyView.
ABSTRACT Accurate modeling of turbulent transport in magnetic confinement fusion devices requires extending first‐principles gyrokinetic simulations from the core to the edge and scrape‐off layer (SOL), where additional physics—particularly plasma–neutrals interactions—must be included.
Sabine Ogier‐Collin, Philipp Ulbl, Wladimir Zholobenko, Frank Jenko   +3 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

Improved Conservative Scheme for Lenard‐Bernstein Collisions in Gyrokinetic Turbulence Simulations

Contributions to Plasma Physics, EarlyView.
ABSTRACT Turbulence in the edge and scrape‐off layer regions plays a critical role for the performance of future magnetic confinement fusion power plants. Gyrokinetic simulations allow studying this regime with high fidelity. A key aspect in these regions is the high concentration of impurities, which can radiate energy, leading to significant losses ...
Andrew Ivan Sulimro, Philipp Ulbl, Jordy Trilaksono, Frank Jenko   +3 more
wiley   +1 more source

Fluid‐induced slip on a rate‐and‐state fault during co‐ and post‐injection: The interplay of fluid pressure diffusion and poroelastic stress

Deep Underground Science and Engineering, EarlyView.
Fault slip can occur ahead of the injection pressure front due to poroelastic stress. Our model captures the interaction of pressure, stress, and friction, providing new insights into injection‐induced seismicity and post‐injection fault slip. Shut‐in operations can either mitigate or accelerate seismic events depending on fault conditions and ...
Qifeng Xie, Lei Wang, Qi Li
wiley   +1 more source

Numerical and Experimental Evaluation of a Simplified Lateral Spring Formulation for Rocking Structures

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT Rocking podium isolation systems have gained significant research interest as a method of limiting seismic demands on superstructures and eliminating residual post‐earthquake drifts through self‐centring behaviour. However, while numerous models of varying complexity, including analytical, phenomenological, and physical formulations, have been
Marawan Zaki, Chiyun Zhong, Constantin Christopoulos   +2 more
wiley   +1 more source

Verification of an Incompressible Viscoelastic Flow Solver Using the Method of Manufactured Solutions for Oldroyd‐B and Giesekus Constitutive Models

International Journal for Numerical Methods in Fluids, EarlyView.
This study utilizes the Method of Manufactured Solutions (MMS) to validate high‐order compact finite‐difference schemes for 2D incompressible viscoelastic flows. By applying Oldroyd‐B and Giesekus models to a lid‐driven cavity benchmark, the researchers rigorously assessed numerical accuracy across varying Reynolds and Weissenberg numbers.
Juniormar Organista, Leandro F. Souza, Célio Fernandes, Welton L. Costa, Aquisson T. G. da Silva, Antonio Castelo   +5 more
wiley   +1 more source