Predictor-corrector (PC) methods for the numerical solution of stiff ODEs can be extended to include the second derivative of the solution. In this paper, we consider second derivative PC methods with the three-step second derivative Adams-Bashforth as predictor and two-step second derivative Adams-Moulton as corrector which both methods have order six. Implementation of the proposed PC method ...

Krzysztof Ciesielski1, Wojciech Ciesielski2, Adam Rogowski-Tylman1 Received: 19.04.2015 Accepted: 14.05.2015 Published: 30.06.2015 © Pediatr Med Rodz 2015, 11 (2), p. 227–230 Krzysztof Ciesielski1, Wojciech Ciesielski2, Adam Rogowski-Tylman1

In these appendices we present, successively, I conditions for the existence of a unique solution of (1.1) and (1.2); II three tables of coefficients of forward differentiation formulas, and of two common LM formulas for ODEs, viz., backward differentiation formulas and Adams-Moulton formulas; III two lemmas which are needed in: IV proofs of the main results of this paper, as far as they are no...

A multistep method with matricial coefficients is developed. It can be used to solve stiff initial value problems of the form y’= Ay + g(x,y). This method bears the nature of the classical Adams-Bashforth-Moulton PC formula and can be shown to be consistent, convergent and A-stable. A careful reformulation of this method legitimatizes the implementation of this algorithm in a variable-step vari...

Hedonic regression is a method used to determine the value of a good or service by breaking it down into its component parts. The value of each component is then determined separately through regression analysis. See Lancaster K [1], Griliches Z [2,3] and Diewert [4-6] for detail discussions on the development and application of hedonic prices. In addition, Moulton [7] provides a information on...

Three new species of Dactuliothrips Moulton are described, two from Mendoza, Argentina and one from Southern California, USA: D. prosopis sp.n. from Prosopis alpataco (Fabaceae), D. monttea sp.n. from Monttea aphylla (Scrophulariaceae), and D. ephedra sp.n. from Ephedra sp. (Ephedraceae). A revised diagnosis and an illustrated identification key to the nine recognized species of Dactuliothrips ...

Objective To determine the efficacy, tolerability, and safety of ascending doses of Adhesive Dermally-Applied Microarray (ADAM) zolmitriptan versus placebo for acute migraine treatment. Background ADAM is a novel patient-administered system for intracutaneous drug administration. In a phase 1 pharmacokinetic study, zolmitriptan administered using ADAM had much faster absorption than oral admini...

Many membrane-bound proteins undergo proteolytic release from the membrane, a process known as 'shedding'. Some of the processing events are carried out by enzymes of the ADAM (a disintegrin and metalloproteinase) family, which are also membrane bound. One of the most well known ADAM family members is TACE (tumour necrosis factor-alpha-converting enzyme. TACE was the first ADAM family member to...

The ADAM (a disintegrin-like and metalloproteinase) proteins are a family of transmembrane cell-surface proteins with important functions in adhesion and proteolytic processing in all animals. Human ADAM-15 is the only member of the ADAM family with the integrin binding motif Arg-Gly-Asp (RGD) in its disintegrin-like domain. This motif is also found in most snake venom disintegrins and other di...