03390nam a22005415i 4500001001800000003000900018005001700027007001500044008004100059020001800100024002500118041000800143050001400151050001400165072001600179072002300195082001200218100004300230245014000273260006100413264006100474300003400535336002600569337002600595338003600621347002400657505048000681520107401161650001702235650002802252650003702280650002602317650002002343650002902363650002402392650001702416650005902433650003902492650003702531650003702568650003602605650003902641700004002680710003402720773002002754776003602774856003802810978-3-540-26820-8DE-He21320141014113508.0cr nn 008mamaa100301s2005 gw | s |||| 0|eng d a97835402682087 a10.1007/b1381292doi aeng 4aTA329-348 4aTA640-643 7aTBJ2bicssc 7aMAT0030002bisacsh04a5192231 aSolodov, Alexander Pavlovich.eauthor.10aDifferential Modelsh[electronic resource] :bAn Introduction with Mathcad /cby Alexander Pavlovich Solodov, Valery Fedorovich Ochkov. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg,c2005. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg,c2005. aXII, 232 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aDifferential Mathematical Models -- Integrable Differential Equations -- Dynamic Model of Systems with Heat Generation -- Stiff Differential Equations -- Heat Transfer near the Stagnation Point at Cross Tube Flow -- The Falkner-Skan Equation of Boundary Layer -- Rayleighâ€™s Equation: Hydrodynamical Instability -- Kinematic Waves of Concentration in Ion-Exchange Filter -- Kinematic Shock Waves -- Numerical Modeling of the CPU-Board Temperature Field -- Temperature Waves. aDifferential equations are often used in mathematical models for technological processes or devices. However, the design of a differential mathematical model is crucial and difficult in engineering. As a hands-on approach to learn how to pose a differential mathematical model the authors have selected 9 examples with important practical application and treat them as following: - Problem-setting and physical model formulation - Designing the differential mathematical model - Integration of the differential equations - Visualization of results Each step of the development of a differential model is enriched by respective Mathcad 11 commands, todays necessary linkage of engineering significance and high computing complexity. To support readers of the book with respect to changes that might occur in future versions of Mathcad (Mathcad 12 for example), updates of examples, codes etc. can be downloaded from the following web page www.thermal.ru. Readers can work with Mathcad-sheets of the book without any Mathcad by help Mathcad Application Server Technology. 0aEngineering. 0aDifferential Equations. 0aDifferential equations, partial. 0aMathematical physics. 0aThermodynamics. 0aEngineering mathematics. 0aMechanics, applied.14aEngineering.24aAppl.Mathematics/Computational Methods of Engineering.24aTheoretical and Applied Mechanics.24aMathematical Methods in Physics.24aOrdinary Differential Equations.24aPartial Differential Equations.24aMechanics, Fluids, Thermodynamics.1 aOchkov, Valery Fedorovich.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978354020852540uhttp://dx.doi.org/10.1007/b138129