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9789048179794: Partial Differential Equations: Modelling and Numerical Simulation

Synopsis

For more than 250 years partial di?erential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at ?rst and then those originating from - man activity and technological development. Mechanics, physics and their engineering applications were the ?rst to bene?t from the impact of partial di?erential equations on modeling and design, but a little less than a century ago the Schr¨ odinger equation was the key opening the door to the application of partial di?erential equations to quantum chemistry, for small atomic and molecular systems at ?rst, but then for systems of fast growing complexity. The place of partial di?erential equations in mathematics is a very particular one: initially, the partial di?erential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to - press conservation laws and principles in partial di?erential equation form, leading to the wave equation, the heat equation, the equations of elasticity, the Euler and Navier–Stokes equations for ?uids, the Maxwell equations of electro-magnetics, etc. It is in order to solve ‘constructively’ the heat equation that Fourier developed the series bearing his name in the early 19th century; Fourier series (and later integrals) have played (and still play) a fundamental roleinbothpureandappliedmathematics,includingmanyareasquiteremote from partial di?erential equations. On the other hand, several areas of mathematics such as di?erential ge- etry have bene?ted from their interactions with partial di?erential equations.

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  • ÉditeurSpringer
  • Date d'édition2010
  • ISBN 10 9048179793
  • ISBN 13 9789048179794
  • ReliureBroché
  • Langueanglais
  • Numéro d'édition1
  • Nombre de pages308
  • ÉditeurGlowinski Roland, Neittaanmäki Pekka
  • Coordonnées du fabricantnon disponible

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Covers a wides spectrum of topics related to the numerical solution of partial differential equationsServes as state-of-the-art reference for the scientist or practitioner solving problems in science of engineering described by partial differentia. N° de réf. du vendeur 5821812

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -For more than 250 years partial di erential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at rst and then those originating from - man activity and technological development. Mechanics, physics and their engineering applications were the rst to bene t from the impact of partial di erential equations on modeling and design, but a little less than a century ago the Schr odinger equation was the key opening the door to the application of partial di erential equations to quantum chemistry, for small atomic and molecular systems at rst, but then for systems of fast growing complexity. The place of partial di erential equations in mathematics is a very particular one: initially, the partial di erential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to - press conservation laws and principles in partial di erential equation form, leading to the wave equation, the heat equation, the equations of elasticity, the Euler and Navier-Stokes equations for uids, the Maxwell equations of electro-magnetics, etc. It is in order to solve 'constructively' the heat equation that Fourier developed the series bearing his name in the early 19th century; Fourier series (and later integrals) have played (and still play) a fundamental roleinbothpureandappliedmathematics,includingmanyareasquiteremote from partial di erential equations. On the other hand, several areas of mathematics such as di erential ge- etry have bene ted from their interactions with partial di erential equations. 308 pp. Englisch. N° de réf. du vendeur 9789048179794

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - For more than 250 years partial di erential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at rst and then those originating from - man activity and technological development. Mechanics, physics and their engineering applications were the rst to bene t from the impact of partial di erential equations on modeling and design, but a little less than a century ago the Schr odinger equation was the key opening the door to the application of partial di erential equations to quantum chemistry, for small atomic and molecular systems at rst, but then for systems of fast growing complexity. The place of partial di erential equations in mathematics is a very particular one: initially, the partial di erential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to - press conservation laws and principles in partial di erential equation form, leading to the wave equation, the heat equation, the equations of elasticity, the Euler and Navier-Stokes equations for uids, the Maxwell equations of electro-magnetics, etc. It is in order to solve 'constructively' the heat equation that Fourier developed the series bearing his name in the early 19th century; Fourier series (and later integrals) have played (and still play) a fundamental roleinbothpureandappliedmathematics,includingmanyareasquiteremote from partial di erential equations. On the other hand, several areas of mathematics such as di erential ge- etry have bene ted from their interactions with partial di erential equations. N° de réf. du vendeur 9789048179794

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -For more than 250 years partial di erential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at rst and then those originating from - man activity and technological development. Mechanics, physics and their engineering applications were the rst to bene t from the impact of partial di erential equations on modeling and design, but a little less than a century ago the Schr¿ odinger equation was the key opening the door to the application of partial di erential equations to quantum chemistry, for small atomic and molecular systems at rst, but then for systems of fast growing complexity. The place of partial di erential equations in mathematics is a very particular one: initially, the partial di erential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to - press conservation laws and principles in partial di erential equation form, leading to the wave equation, the heat equation, the equations of elasticity, the Euler and Navier¿Stokes equations for uids, the Maxwell equations of electro-magnetics, etc. It is in order to solve ¿constructively¿ the heat equation that Fourier developed the series bearing his name in the early 19th century; Fourier series (and later integrals) have played (and still play) a fundamental roleinbothpureandappliedmathematics,includingmanyareasquitere mote from partial di erential equations. On the other hand, several areas of mathematics such as di erential ge- etry have bene ted from their interactions with partial di erential equations.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 308 pp. Englisch. N° de réf. du vendeur 9789048179794

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