By Hasegawa T., Hibino S., Hosoda Y.
Summary An development is made to an automated quadrature as a result of Ninomiya (J. Inf. method. 3:162–170, 1980) of adaptive variety in keeping with the Newton–Cotes rule by means of incorporating a doubly-adaptive set of rules because of Favati, Lotti and Romani (ACM Trans. Math. Softw. 17:207–217, 1991; ACM Trans. Math. Softw. 17:218–232, 1991). We evaluate the current technique in functionality with a few others through the use of quite a few try out difficulties together with Kahaner’s ones (Computation of numerical quadrature formulation. In: Rice, J.R. (ed.) Mathematical software program, 229–259. educational, Orlando, FL, 1971).Keywords automated quadrature · Adaptive set of rules · Numerical comparability
Read Online or Download An extended doubly-adaptive quadrature method based on the combination of the Ninomiya and the FLR schemes PDF
Similar chemistry books
This product isn't really on hand individually, it's only offered as a part of a suite. There are 750 items within the set and those are all offered as one entity, foodstuff will be nutritious, visually attractive and straightforward to organize but when it doesn't own fascinating flavors, it is going to now not be ate up. nutrients Flavors and Chemistry: Advances of the recent Millennium essentially specializes in foodstuff flavors and their use in meals.
The Composition, constitution and Reactivity of Proteins
- Chemistry and Mode of Action of Crop Protection Agents, 1st Edition
- Halides, Pseudo-Halides and Azides: Volume 2 (1983)
- Advances in Catalysis, Vol. 16
- The Chemistry of Tobacco and Tobacco Smoke: Proceedings of the Symposium on the Chemical Composition of Tobacco and Tobacco Smoke held during the 162nd National Meeting of the American Chemical Society in Washington, D.C., September 12–17, 1971
- Geochemical Processes at Mineral Surfaces (Acs Symposium Series)
- Lipoproteins, Apolipoproteins, and Lipases
Additional info for An extended doubly-adaptive quadrature method based on the combination of the Ninomiya and the FLR schemes
The ordering of liquid crystals is a cooperative phenomenon that is highly sensitive to weak perturbations, including the photoisomerization of small quantities of added molecular rotors . Hence, we set out to align electrochemically switchable bistable rotaxanes within LC phases, as a possible means of amplifying the effect of molecular switching and so influence the bulk LC ordering. The bistable rotaxane 24Á4PF6 (Fig. 5) with dendritic mesogens as stoppers was synthesized by subjecting the diazide 22 and mesogens functionalized with propargyl ester groups to the same CuAAC conditions employed for the synthesis of 23Á4PF6.
D’Acerno C, Doddi G, Ercolani G, Mencarelli P (2000) Chem Eur J 6:3540–3546 18. Asakawa M, Ashton PR, Balzani V, Credi A, Hamers C, matterstig G, Montalti M, Shipway AN, Spencer N, Stoddart JF, Tolley MS, Venturi M, White AJP, Williams DJ (1998) Angew Chem Int Ed 37:333–337 19. Asakawa M, Ashton PR, Menzer S, Raymo FM, Stoddart JF, White AJP, Williams DJ (1996) Chem Eur J 2:877–893 20. Patel K, Miljanic´ OŠ, Stoddart JF (2008) Chem Commun 1853–1855 21. Liu Y, Flood AH, Bonvallett PA, Vignon SA, Northrop BH, Tseng H-R, Jeppesen JO, Huang TJ, Brough B, Baller M, Magonov S, Solares SD, Goddard WA, Ho CM, Stoddart JF (2005) J Am Chem Soc 127:9745–9759 22.
160 mL) at -10 °C, forming a deep red solution. 148 M) were added. The solution was stirred at -10 °C for 24 h, at which time the solvent was evaporated. The red solid was redissolved in Me2CO and the rotaxane was purified by preparative TLC using a 1% w/v NH4PF6 solution in Me2CO as the mobile phase. The rotaxane product was recovered from the silica gel by washing with an excess of eluent solution. The Me2CO was concentrated to a minimum volume, and the product was precipitated from this solution through the addition of an excess of cold water.