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Keywords: derivative
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Proceedings Papers

Paper presented at the PSIG Annual Meeting, May 14–17, 2019
Paper Number: PSIG-1923
... the above method requires that we solve a nonlinear system at each time step. In these situations, it may be useful to use an affine method: = + where is the derivative of evaluated at In this case we need only solve a linear system for SDoLE & ASDoLE methods To have a second-order correct method...
Proceedings Papers

Paper presented at the PSIG Annual Meeting, May 14–17, 2019
Paper Number: PSIG-1932
... of the laboratory data matches values calculated using Ref. 1. The most significant difference is in the derivative of isothermal bulk modulus with pressure which we will discuss at some length. Sonic velocity can be computed directly as the square root of the adiabatic bulk modulus divided by the...
Proceedings Papers

Paper presented at the PSIG Annual Meeting, May 12–15, 2015
Paper Number: PSIG-1508
... Abstract This paper proposes a novel model-based leak location method for pipelines. We first formulate the leak location problem into an optimization problem under certain conditions. Then we develop a derivative-based search algorithm to solve that optimization problem. The derivative will...
Proceedings Papers

Paper presented at the PSIG Annual Meeting, October 30–31, 1986
Paper Number: PSIG-8603
... rate contracts. optimization problem pump schedule constraint water system cost savings operation derivative reservoir level duty cycle algorithm procedure peak period control variable penalty function optimization algorithm artificial intelligence gradient search method...

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