Synthesis of aromatic aldehydes via NiCl2 reduction and hydrolysis of oxazolines

Reduction of 2-aryl-oxazolines with NiCl₂/NaBH₄ followed by hydrolysis gives the corresponding aldehydes in good yields.     

Zero Dissipative, Explicit Numerov-Type Methods for Second Order IVPs with Oscillating Solutions

New explicit, zero dissipative, hybrid Numerov type methods are presented in this paper. We derive these methods using an alternative which avoids the use of costly high accuracy interpolatory nodes. We only need the Taylor expansion at some internal points then. The method is of sixth algebraic order at a cost of seven stages per step while their phase lag order is fourteen. The zero dissipation condition is satisfied, so the methods possess an non empty interval of periodicity. Numerical results over some well known problems in physics and mechanics indicate the superiority of the new method.     

Ueber Bestimmung der Harns?ure im Urin

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Bücherbesprechungen

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Ueber Milchzucker und Laktose

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Zur Theorie der Liniencomplexe des ersten und zweiten Grades

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Eine Reaction auf chlorige S?ure

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