Results 21 to 30 of about 25,417,473 (341)
An integration scheme for stiff solid-gas reactor models [PDF]
Modeling, Identification and Control, 2001 Many dynamic models encounter numerical integration problems because of a large span in the dynamic modes. In this paper we develop a numerical integration scheme for systems that include a gas phase, and solid and liquid phases, such as a gas-solid ...
Bjarne A. Foss, Stein O. Wasbø
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IEEE Access, 2022 The modeling and simulation of fluid power systems are essential parts of the real-time simulation of virtual prototypes of mobile working machines.
Stanislav Ustinov +2 more
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Backward Discrete State Event-Driven Approach for Simulation of Stiff Power Electronic Systems
IEEE Access, 2021 Power electronic systems are intrinsically hybrid systems, consisting of continuous states and discrete events. The hybrid nature makes their accurate and efficient simulation challenging to achieve.
Jiahe Ju +4 more
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Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales [PDF]
SIAM Journal on Scientific Computing, 2018 Traditional time discretization methods use a single timestep for the entire system of interest and can perform poorly when the dynamics of the system exhibits a wide range of time scales. Multirate infinitesimal step (MIS) methods (Knoth and Wolke, 1998)
S. Roberts, A. Sarshar, Adrian Sandu
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UMYU Scientifica Journal, 2022 The development and formulation of a most reliable and efficient numerical schemes for the integration of stiff systems of ordinary differential equations in terms of order, convergence, stability requirements, accuracy, and computational expense has ...
Buhari Alhassan +2 more
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Exponential Euler-Maruyama scheme for simulation of stiff biochemical reaction systems [PDF]
, 2013 In order to simulate stiff biochemical reaction systems, an explicit exponential Euler-Maruyama scheme is derived for multi-dimensional, non-commutative stochastic differential equations with a semilinear drift term.
コモリ, ヨシオ +10 more
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, 2020 A hybrid second derivative three-step method of order 7 is proposed for solving first order stiff differential equations. The complementary and main methods are generated from a single continuous scheme through interpolation and collocation procedures ...
O. Akinfenwa +3 more
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Wavelet-based collocation method for stiff systems in process engineering
, 2008 Abrupt phenomena in modelling real-world systems such as chemical processes indicate the importance of investigating stiff systems. However, it is difficult to get the solution of a stiff system analytically or numerically.
Zhang, Tonghua +4 more
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Stiff systems of ordinary differential equations [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981 AbstractSolutions of the stiff system of linear differential equationsare obtained in a form yielding tight estimates of their properties, and conditions are obtained under which the operator norm of the map from r to the solution x does not become exponentially large for small values of ε.
Mahony, J. J., Shepherd, J. J.
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Effective simulation techniques for biological systems [PDF]
, 2004 In this paper we give an overview of some very recent work on the stochastic simulation of systems involving chemical reactions. In many biological systems (such as genetic regulation and cellular dynamics) there is a mix between small numbers of key ...
Tian, T., Burrage, K.
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