{"product_id":"introduction-to-scientific-computing-isbn-9780471972662","title":"Introduction to Scientific Computing","description":"This book presents the basic scientific computing methods for the solution of partial differential equations (PDEs) as they occur in engineering problems. Programming codes in Fortran and C are included for each problem. Opening with the definition of the programming environment for the solving of PDE systems, it then addresses in detail the programming of the model problem by the finite element method. Efficiency, compact storage pre-conditioning and mesh adaption are also presented. General elliptic problems and evolution problems are then dealt with. Finally, topics related to other numerical methods, algorithms for parallel computing and multi processor computers are detailed. An integrated software package which illustrates the featured programs of PDEs is available on the Internet via anonymous FTP. The methods presented have applications in numerous fields of engineering including shape optimisation, nuclear safety, heat transfer, acoustics, mechanics of fluids and elasticity, and are also relevant to other areas such as pollution, meteorology, biology, etc.Die meisten ingenieurtechnischen und physikalischen Probleme lassen sich durch numerische Analyse mit Hilfe partieller Differentialgleichungen lösen. In diesem Buch werden Methoden zur Lösung von partiellen Differentialgleichungssystemen behandelt. Die Autoren zeigen anhand zahlreicher Beispiele Wege zur Programmierung solcher Fragestellungen unter Verwendung finiter Elemente. Spezielle Kapitel beschäftigen sich ausführlich mit numerischen Methoden, Algorithmen für Parallelrechentechnik und Mehrprozessorsystemen. (12\/97) Some Partial Differential Equations.\u003cbr\u003e \u003cbr\u003e PROGRAMMING THE MODEL PROBLEM BY A FINITE ELEMENT METHOD.\u003cbr\u003e \u003cbr\u003e Introduction to the Finite Element Method: Energy Minimisation.\u003cbr\u003e \u003cbr\u003e Finite Element Method: Variational Formulation and Direct Methods.\u003cbr\u003e \u003cbr\u003e Finite Element Method: Optimisation of the Method.\u003cbr\u003e \u003cbr\u003e GENERAL ELLIPTIC PROBLEMS AND EVOLUTION PROBLEMS.\u003cbr\u003e \u003cbr\u003e Finite Element Method for General Elliptic Problems.\u003cbr\u003e \u003cbr\u003e Non-symmetric or Non-linear Partial Differential Equations.\u003cbr\u003e \u003cbr\u003e Evolution Problems: Finite Differences in Time.\u003cbr\u003e \u003cbr\u003e COMPLEMENTS ON NUMERICAL METHODS.\u003cbr\u003e \u003cbr\u003e Integral Methods for the Laplacian.\u003cbr\u003e \u003cbr\u003e Some Algorithms for Parallel Computing.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Index.  PART A: PROGRAMMING THE MODEL PROBLEM BY A FINITE ELEMENT METHOD;\u003cbr\u003e Introduction to the Finite Element Method ;\u003cbr\u003e Energy Minimization;\u003cbr\u003e Finite Element Method: Variational Formulation and Direct Methods;\u003cbr\u003e Finite Element Method: Optimization of the Method;\u003cbr\u003e PART B: GENERAL ELLIPTIC PROBLEMS AND EVOLUTION PROBLEMS;\u003cbr\u003e Finite Element Method for General Elliptic Problems;\u003cbr\u003e Non Symmetric or Non Linear Partial Differential Equations;\u003cbr\u003e Evolution Problems: Finite Differences for Time Variable;\u003cbr\u003e Integral Methods for the Laplacian;\u003cbr\u003e Some Algorithms for Parallel Computing;\u003cbr\u003e Bibliography;\u003cbr\u003e Index.  \u003cp\u003eBrigitte Lucquin is the author of Introduction to Scientific Computing, published by Wiley. Olivier Pironneau is a French mathematician who is a Professor at the Université Pierre et Marie Curie and member of the French Academy of Sciences.\u003cbr\u003ePironneau is a worldwide recognized expert in computational fluid dynamics, scientific computing, optimal design, numerical analysis and partial differential equations.  This book presents the basic scientific computing methods for the solution of partial differential equations (PDEs) as they occur in engineering problems. Programming codes in Fortran and C are included for each problem. Opening with the definition of the programming environment for the solving of PDE systems, it then addresses in detail the programming of the model problem by the finite element method. Efficiency, compact storage pre-conditioning and mesh adaption are also presented. General elliptic problems and evolution problems are then dealt with. Finally, topics related to other numerical methods, algorithms for parallel computing and multi processor computers are detailed. An integrated software package which illustrates the featured programs of PDEs is available on the Internet via anonymous FTP. The methods presented have applications in numerous fields of engineering including shape optimisation, nuclear safety, heat transfer, acoustics, mechanics of fluids and elasticity, and are also relevant to other areas such as pollution, meteorology, biology, etc.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989466628325,"sku":"NP9780471972662","price":119.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471972662.jpg?v=1761784213","url":"https:\/\/k12savings.com\/products\/introduction-to-scientific-computing-isbn-9780471972662","provider":"K12savings","version":"1.0","type":"link"}