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The overall novel contribution of this research is the development of efficient algorithms for the simultaneous solution of the state equations.
It uses a method of lines approach and exploits standard software for the simultaneous solution of the resulting differential algebraic equations (DAEs).
Worley et al. [8] developed an integer-programming model for the simultaneous solution of the vehicle routing and charging station problem, with the objective to minimize the total cost (travel, recharging and implementation).
It uses a method of lines approach, avoids explicit differentiation of the adsorption isotherm, and exploits standard numerics for the simultaneous solution of the resulting ordinary differential and implicit algebraic equations.
An approach for the simultaneous solution of the three domains as a coupled dynamical system, introduced by the first author and adopted by independent researchers, has recently demonstrated its capability to address this problem.
A joint model-based design of experiments (j-MBDoE) technique, based on multi-objective optimization, is proposed in this paper for the simultaneous solution of the dual problem of discriminating among competitive kinetic models and improving the estimation of the model parameters.
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Such an evaluation requires the simultaneous solution of the system of equations for the surface water and energy balance, and subsurface heat transport and water flow.
In this work, a framework for the simultaneous solution of design and control problems is presented.
Additionally this paper will discuss an approach for the simultaneous solution of LEO and GPS POD.
Differentiating the profit function with respect to quantity supplied for each firm left a system of linear equations, the simultaneous solution of which gave the equilibrium quantity, price and profits.
Plasma physiologic pH is then determined by the simultaneous solution of Eqn 1 and the Henderson-Hasselbalch Equation: Where for human plasma pK' = 6.103.
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