Results 71 to 80 of about 11,954,701 (266)
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
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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
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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
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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
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Evolutionary Optimisation of Runge–Kutta Methods for Oscillatory Problems
MathematicsWe 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
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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
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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 +3 more
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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
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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 +3 more
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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
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