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  • 1
    ISSN: 1434-4475
    Keywords: Arylsulfonylacetophenones ; Thiophenes ; β-Enaminonitriles ; Thienopyrazolopyrimidines
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Die Phenylsulfonylacetophenone1 reagieren mit einem Gemisch aus elementarem Schwefel und Malonsäurenitril zu den entsprechenden 2-Amino-4-aryl-5-phenylsulfonylthiophen-3-carbonitrilen2. Durch Umsetzung mit Stickstoffnucleophilen wie Cyanamid und Hydroxylaminhydrochlorid konnten aus Verbindung2a die entsprechenden Thieno[2,3-d]pyrimidin- und Thieno[2,3-c]pyrazolderivate erhalten werden. Das synthetische Potential und die Anwendbarkeit von5 zur Synthese polyfunktionell substituierter Thieno[2′,3′:3,4]pyrazolo[1,5-a]pyrimidine (8,14,17,20,21) werden beschrieben. Die Strukturen der neuen Verbindungen wurden durch chemische und spektroskopische Methoden abgesichert.
    Notes: Summary Phenylsulfonylacetophenones1 react with a mixture of elemental sulfur and malononitrile to yield the corresponding 2-amino-4-aryl-5-phenylsulfonylthiophene-3-carbonitriles2. Compound2a could be annelated to the corresponding thieno[2,3-d]pyrimidine and thieno[2,3-c]-pyrazole derivatives3 and5 upon reaction with nitrogen nucleophiles (cyanamide and hydroxylamine hydrochloride), respectively. The applicability and synthetic potency of5 to develop a facile convenient route to the polyfunctionally substituted thieno[2′,3′:3,4]pyrazolo[1,5-a]pyrimidines8, 14, 17, 20, and21 is reported. Chemical and spectroscopic evidences for the structures of the new compounds are presented.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 28 (1989), S. 1205-1216 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A numerical method is presented for the-solution of linear systems of differential equations with initial-value or two-point boundary conditions. For y′(x) = A(x)y(x) + f(x) the domain of interest [a,b] is divided into an appropriate number L of subintervals. The coefficient matrix A(x) is replaced by its value Ak at a point xk within the Kth subinterval, thus replacing the original system by the L discretized systems yk(x) = Akyk(x) + fk(x), k = 1,2,…, L. The fundamental matrix solution Φk(x, xk) over each subinterval is found by computing the eigenvalues and eigenvectors of each Ak. By matching the solutions yk(x) at the L - 1 equispaced grid points defining the limits of the subintervals and the boundary conditions, the two-point problem is reduced to solving a system of linear algebraic equations for the matching constants characterizing the different yk(x). The values of y1(a) and yL(b) are used to calculate the missing boundary conditions. For initial-value problems this method is equivalent to a one-step method for generating approximate solutions. By means of a coordinate transformation, as in the multiple shooting method,1 the method becomes particularly suitable for stiff systems of linear ordinary differential equations. Five examples are discussed to illustrate the viability of the method.
    Additional Material: 8 Tab.
    Type of Medium: Electronic Resource
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