Results 81 to 90 of about 11,022,643 (271)
Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
The Scientific World Journal, 2014 The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. A diagonally implicit symplectic nine-stages Runge-Kutta method with algebraic order 6 and dispersion order 8 is presented.
Y. H. Cong, C. X. Jiang
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Some notes on summation by parts time integration methods
Results in Applied Mathematics, 2019 Some properties of numerical time integration methods using summation by parts (SBP) operators and simultaneous approximation terms are studied. These schemes can be interpreted as implicit Runge-Kutta methods with desirable stability properties such as ...
Hendrik Ranocha
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Numerical results for a parallel linearly-implicit Runge-Kutta method
, 2007 Zusammenfassung Numerical results for a parallel linearly--implicit Runge--Kutta method. For the parallelization of implicit Runge--Kutta methods for stiff ODE's a parallel computation of the stages is obvious.
Jürgen Bruder +2 more
core
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 +5 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
Fifth order two derivative Runge-Kutta method with reduced function evaluations for solving IVPs [PDF]
, 2016 In this paper, the First Same As Last (FSAL) technique is implemented to Two Derivative Runge-Kutta method (TDRK) for the numerical integration of first order Initial Value Problems (IVPs).
Senu, Norazak +2 more
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High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations
, 1996 The pioneering work of Runge and Kutta a hundred years ago has ultimately led to suites of sophisticated numerical methods suitable for solving complex systems of deterministic ordinary differential equations.
Burrage, Pamela +3 more
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An Improved Air Film Model for Studying the Tilt Characteristics of Aerostatic Thrust Bearings
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In this study, an improved mass‐spring model that treats the lubricating air film as distributed springs is proposed to calculate the static and dynamic angular stiffness of aerostatic thrust bearings. The proposed model refines the traditional mass‐spring model by introducing the spatially varying mechanical properties of the air film and the
Hui Zhuang, Jianguo Ding, Yu Chang
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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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Runge–Kutta methods and Banach algebras
Journal of Computational and Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources