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Differential equations, Partial. --- Differential equations, Partial --- 517.95 --- 519.63 --- Partial differential equations --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- 517.95 Partial differential equations --- Equations aux dérivées partielles --- Monograph

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The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. As preparation, the two-point boundary value problem and the initial-value problem for ODEs are discussed in separate chapters. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. Some background on linear functional analysis and Sobolev spaces, and also on numerical linear algebra, is reviewed in two appendices.

Numerical solutions of differential equations --- Differential equations, Partial --- Equations aux dérivées partielles --- Numerical solutions --- Solutions numériques --- 519.63 --- -Partial differential equations --- Numerical methods for solution of partial differential equations --- Numerical solutions. --- -Numerical methods for solution of partial differential equations --- -519.63 Numerical methods for solution of partial differential equations --- Partial differential equations --- Equations aux dérivées partielles --- Solutions numériques --- 519.63 Numerical methods for solution of partial differential equations --- Numerical analysis --- Mathematical analysis. --- Analysis (Mathematics). --- Numerical analysis. --- Partial differential equations. --- Analysis. --- Numerical Analysis. --- Partial Differential Equations. --- Mathematical analysis --- 517.1 Mathematical analysis --- Differential equations, Partial - Numerical solutions

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Differential equations, Hyperbolic --- Conservation laws (Mathematics) --- Shock waves. --- Numerical solutions. --- Shock waves --- Lois de conservation (Mathématiques) --- Ondes de choc --- -Shock waves --- Shock (Mechanics) --- Waves --- Hyperbolic differential equations --- Lois de conservation (Mathématiques) --- Differential equations --- 519.63 --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Numerical analysis --- Numerical solutions --- Differential equations, Hyperbolic - Numerical solutions --- Differential equations, Hyperbolic - Numerical solutions.

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Mathematical physics --- Fluid mechanics --- Transport theory --- Kinetic theory of gases --- Evolution equations --- Transport, Théorie du --- Gaz, Théorie cinétique des --- Equations d'évolution --- 519.713 --- 519.63 --- Boltzmann transport equation --- Transport phenomena --- Particles (Nuclear physics) --- Radiation --- Statistical mechanics --- Gases, Kinetic theory of --- Gases --- Molecular theory --- Evolutionary equations --- Equations, Evolution --- Equations of evolution --- Differential equations --- Automata --- Numerical methods for solution of partial differential equations --- 519.63 Numerical methods for solution of partial differential equations --- 519.713 Automata --- Transport, Théorie du --- Gaz, Théorie cinétique des --- Equations d'évolution --- Fluid dynamics.

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Computational Fluid Dynamics enables engineers to model and predict fluid flow in powerful, visually impressive ways and is one of the core engineering design tools, essential to the study and future work of many engineers. This textbook is designed to explcitly meet the needs engineering students taking a first course in CFD or computer-aided engineering. Fully course matched, with the most extensive and rigorous pedagogy and features of any book in the field, it is certain to be a key text. The only course text available specifically designed to give an applications-lead, commercial

Mathematical physics --- Fluid mechanics --- CFD (computational fluid dynamics) --- Fluid dynamics. --- Heat --- Turbulence. --- Transmission. --- Engineering --- General and Others --- Fluid dynamics --- Turbulence --- 519.63 --- 681.3 *G18 --- Flow, Turbulent --- Turbulent flow --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Dynamics --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Transmission