The numerical methods employed in the solution of many scientiic computing problems require the computation of derivatives of a function f : R n ! R m. Both the accuracy and the computationalrequirements of the derivativecomputation are usually of critical importance for the robustness and speed of the numerical solution. ADIFOR (Automatic Diierentiation In FORtran) is a source transformation t...

The potential capabilities and limitations of single ball lenses for coupling laser diode radiation to single-mode optical bers have been analyzed; parameters important to optical ber communications were specically considered. These parameters included coupling eciency, eective numerical apertures , lens radius, lens refractive index, wavelength, magnication in imaging the laser diode on the be...

1.0 Is Cognition Discrete or Continuous? 1.1 Although I hate to haggle over words, Harnad's use ofànalog' confuses a number of issues. The problem begins with the phrasèanalog world' in the title, which does not correspond to any technical or nontechnical usage ofànalog' with which I'm familiar. Although I don't know precisely what he means byànalog', it is clearly related to the distinction be...

Communicated by the former editorial board e se™ondEorder —™™ur—te di'eren™e s™heme is developed to solve foussinesq sysE temF por the time integr—tionD — gr—nkExi™olson type s™heme is usedF „he error estim—tes for the numeri™—l solution —re o˜t—inedF xumeri™—l results —re —lso preE sentedF AMS 2010 Subject Classication: TSwHTD TSwIPD TSwISF Key words: foussinesq systemD di'eren™e s™hemeD error...

saccharomyces cerevisiae (baker’s yeast) can exhibit sustained oscillations during the operation in a continuous bioreactor that adversely affects its stability and productivity. because of heterogeneous nature of cell populations, the cell population balance equation (pbe) can be used to capture the dynamic behavior of such cultures. in this work, an unstructured-segregated model is used for d...

In this paper, a numerical solution of time fractional advection-dispersion equations are presented.The new implicit nite dierence methods for solving these equations are studied. We examinepractical numerical methods to solve a class of initial-boundary value fractional partial dierentialequations with variable coecients on a nite domain. Stability, consistency, and (therefore) convergenceof t...

In this paper, we propose an algorithm base on decomposition technique for solvingthe mixed integer linear multiplicative-linear bilevel problems. In actuality, this al-gorithm is an application of the algorithm given by G. K. Saharidis et al for casethat the rst level objective function is linear multiplicative. We use properties ofquasi-concave of bilevel programming problems and decompose th...