An elimination procedure based on Schur complement calculation is proposed for restoring the nonzero elements of a sparse Jacobian matrix. We provide a sparsity usage parameter that can be specified by users to tune the cost of matrix-vector product calculation and the cost of restoration of the nonzero entries. We employ Pascal seeding to compress the Jacobian matrix. Preliminary numerical tes...

 A model is developed for separation of multicomponent gas mixtures in a countercurrent hollow fiber membrane module. While the model’s solution in countercurrent module usually involves in a time consuming iterative procedure, a proper initial guess is proposed for beginning the calculation and a simple procedure is introduced for correcting the guesses, hereby the CPU time is decreased ess...

â a model is developed for separation of multicomponent gas mixtures in a countercurrent hollow fiber membrane module. while the model’s solution in countercurrent module usually involves in a time consuming iterative procedure, a proper initial guess is proposed for beginning the calculation and a simple procedure is introduced for correcting the guesses, hereby the cpu time is decreased ess...

Reference intervals (RI) play a key role in clinical interpretation of laboratory test results. Numerous articles are devoted to analyzing and discussing various methods of RI determination. The two most widely used approaches are the parametric method, which assumes data normality, and a nonparametric, rank-based procedure. The decision about which method to use is usually made arbitrarily. Th...

This application note describes the procedure for adjusting the brightness of light emitting diodes (LEDs) in applications by means of resistors. For better repeatability, the calculation of the required resistance values is shown by means of an example.

This application note describes the procedure for adjusting the brightness of light emitting diodes (LEDs) in applications by means of resistors. For better repeatability, the calculation of the required resistance values is shown by means of an example.

General information...........................................................................................S2 General procedure..............................................................................................S3 Detailed descriptions for products..........................................................................S4 Identification of by-product of diethyl (1-phenylvinyl) pho...

The paper deals with the calculation of higher order derivatives of the inverse function. A simple and fast recursive procedure is presented and compared with other methods known in literature both with respect to the computation time and memory usage.