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  • 1
    Electronic Resource
    Electronic Resource
    High dimensional polynomial interpolation on sparse grids (2000)
    Springer
    Advances in computational mathematics 12 (2000), S. 273-288 
    Details
    ISSN: 1572-9044
    Keywords: multivariate polynomial interpolation ; sparse grids ; least solution ; universal method ; tractability ; 41A05 ; 41A63 ; 65D05 ; 41A25
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We study polynomial interpolation on a d-dimensional cube, where d is large. We suggest to use the least solution at sparse grids with the extrema of the Chebyshev polynomials. The polynomial exactness of this method is almost optimal. Our error bounds show that the method is universal, i.e., almost optimal for many different function spaces. We report on numerical experiments for d = 10 using up to 652 065 interpolation points.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018977404843
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  • 2
    Electronic Resource
    Electronic Resource
    Sensibilisierte Photolyse von Bis(dimethylglyoximato)cobalt(III)-Komplexen mit axial koordiniertem Azid bzw. Thiophenolat als photochemischen OpferligandenHerrn Professor Lothar Beyer zum 60. Geburtstag gewidmet (1997)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 339 (1997), S. 272-276 
    Details
    ISSN: 0941-1216
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Sensitized Photolysis of Bis(dimethylglyoximato)cobalt(III) Complexes with Axially Coordinated Azide or Thiophenolate as Photochemical Sacrificial LigandsThe photolysis of [N3Co(dmg)2pyr] 1a and [PhSCo(dmg)2pyr] 1b (dmg = dimethylglyoxime, pyr = pyridine) is sensitized by both [Ru(bpy)3]Cl2 2 (bpy = 2,2′-bipyridine) and Michler's thioketone 3 (4,4′-bis(dimethyl-amino)-thiobenzophenone). Quenching of 2 by the cobalt(III) chelates 1a and 1b was studied by luminescence spectroscopy. The quenching rate constants calculated are in the order of magnitude of kq ≅ 106 mol-1 s-1. Polychromatic irradiation (〉 250 nm) of 1b and 3 in the presence of thiophenole (PhSH) leads to hydrogen evolution, whereas long-wavelength (546 nm) irradiation does not. The results of these sensitization experiments support strongly a mechanism of catalyzed photolysis of PhSH as proposed earlier.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.19973390148
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  • 3
    Electronic Resource
    Electronic Resource
    Photochemische Untersuchungen von Vitamin B12-Modellverbindungen mit Azid bzw. Thiolat als Axialliganden - Precursorverbindungen für koordinativ ungesättigte Cobalt(II)-KomplexeHerrn Professor Egon Uhlig zum 65. Geburtstag gewidmet (1995)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 337 (1995), S. 125-132 
    Details
    ISSN: 0941-1216
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Photochemistry of Azido and Thiolato Vitamin-B12 Model Complexes as Precursor Compounds for Coordinatively Unsaturated Cobalt(II) ComplexesThe photolysis of [LCo(chelat)B] complexes (1-3) (L = azide, N3-; thiolate, RS-; chelat = dimethylglyoxime, dmg; N,N′-o-phenylene-bis(salicylidenimine), salphen; N,N′-ethylene-bis(salicylidenimine), salen; B = pyridine, imidazole, triphenylphosphine) leads upon the homolytic cleavage of the Co—L bond to both coordinatively unsaturated reactive cobalt(II) chelates [Co(chelat)B] and ligand radicals L•. The efficiency of these photochemical redox reactions is described in relation to the structure of the cobalt(III) chelates, the wavelength of irradiation, the light-intensity as well as the solvents and substrates used during the photochemical experiments. Further, sensitization experiments using [Ru(bipy)3]Cl2 as sensitizer are described and the redox potentials of the investigated complexes are discussed.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.19953370127
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  • 4
    Electronic Resource
    Electronic Resource
    Photokatalytische Bildung von Wasserstoff aus Thiolen in Gegenwart von Vitamin B12-Modellverbindungen mit Azid als photochemischem OpferligandenHerrn Professor Eberhard Hoyer zum 65. Geburtstag gewidmet (1996)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 338 (1996), S. 604-613 
    Details
    ISSN: 0941-1216
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Photocatalytic Hydrogen Formation from Thioles in the Presence of Vitamin-B12 Model Complexes with Azide as Photochemical Sacrificial LigandThe photolysis of [N3Co(chelat)B] complexes (1-3) (chelat = dimethylglyoxime, dmg; N,N′-o-phynylenebis(salicylidenimine), salphen; N,N′-ethylene-bis(salicylidenimine), salen; B = pyridine) leads by homolytic cleavage of the Co-N3 bond to both coordinatively unsaturated cobalt(II) chelates [Co(chelat)B] and N3 ligand radicals that undergo fast decay to dinitrogen. The photolysis of the cobalt (III) complexes 1-3 in the presence of thiophenole and other thioles proceeds catalytically and yields the corresponding disulphides and dihydrogen. The mechanism of this photocatalytic generation of dihydrogen is due to the catalytic activity of the coordinatively unsaturated cobalt(II) species formed photochemically. A photocatalytic cycle is proposed describing the generation of hydrogen. Possible photochemical and thermal steps of that cycle are discussed.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.199633801117
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