4,093 research outputs found
La legge implacabile e il concetto di Agorà
No full textL'articolo presenta il progetto elaborato da David Chipperfield con Ferruccio Izzo per la Cittadella Giudiziaria nuovo Tribunale di Salerno
The Shades of Beauty and Inclusivity in Cosmetics: The Fenty Beauty Case
No full textThis chapter discusses the renowned best practice of Fenty Beauty, showing how the
company responded to and met the demand for diversity, describing the
strategies it employed to achieve a dimension perceived as authentic by customers, and examining the impact of its marketing actions on consumer
behaviour and market dynamics
Come una luce nelle tenebre. I primi dieci anni della Paranza per le Catacombe di San Gennaro
No full text
Come una luce nelle tenebre. I primi dieci anni della Paranza per le Catacombe di San Gennaro
No full text
Variable stepsize implicit-explicit general linear methods
No full textMany practical problems in science and engineering are modeled by large systems of ordinary differential equations (ODEs) with additive vector field, whose terms have different stiffness properties. Such a systems can often be written in the form
y'(t) = f(y(t))+ g(y(t)), t in [t0, T],
y(t0) = y0;
y0 in Rm, f: Rm in Rm, g: Rm in Rm, where f(y) represents the non-stiff processes and g(y) represents stiff processes. For efficient integration of this kind of initial value problems we consider implicit-explicit (IMEX) methods, where the non-stiff part f(y) is integrated by an explicit numerical scheme, and the stiff part g(y) is integrated by an implicit numerical scheme.
After the investigation of IMEX Runge-Kutta (RK) methods [1], and IMEX General Linear Methods (GLMs) [2,3] in a fixed stepsize formulation, we focus on estimation of local discretization errors and rescaling stepsize techniques for high stage order IMEX GLMs in fixed and variable stepsize environments. We also describe the construction of such methods with desirable accuracy and stability properties.
References
[1] G. Izzo and Z. Jackiewicz, Highly stable implicit-explicit Runge-Kutta methods, Appl. Numer. Math., Vol. 113, 2017, 71–92.
[2] M. Bras, G. Izzo and Z. Jackiewicz, Accurate Implicit–Explicit General Linear Methods with Inherent Runge–Kutta Stability, J. Sci. Comput., Vol. 70(3), 2017, 1105–1143.
[3] G. Izzo and Z. Jackiewicz, Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part, Numer. Algorithms, 2019 (in press)
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