Here is an introduction to numerical methods for partial differential equations with particular reference to those that are of importance in fluid dynamics. The author gives a thorough and rigorous treatment of the techniques, beginning with the classical methods and leading to a discussion of modern developments. For easier reading and use, many of the purely technical results and theorems are given separately from the main body of the text. The presentation is intended for graduate students in applied mathematics, engineering and physical sciences who have a basic knowledge of partial differential equations.
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Book Description
Here is an introduction to numerical methods for partial differential equations with particular reference to those that are of importance in fluid dynamics. The author gives a thorough and rigorous treatment of the techniques, beginning with the classical methods and leading to a discussion of modern developments.
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parabolic equations, dimensional diffusion equation, quarter plane problem, monotone finite difference method, artificial compression method, stable finite difference method, upwind difference method, random choice method, implicit fractional step method, prototype equation, compression flux, consider the finite difference method, order upwind method, monotonicity preserving, amplification matrix, boundary condition approximation, previous time level, discrete inner product, first order accurate, left boundary condition, explicit finite difference method, entropy condition, conservation form, discrete integration, implicit finite difference method Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pure Appl, New York, Numerical Methods, Fluid Dynamics, Lecture Notes, Hybrid Random Choice Method, Automotive Engine Modeling, Consider the Riemann, Consider the Lax-Friedrichs, Using the Taylor, Unstable Fingers, Flux-Corrected Transport, Unsteady Combustion Phenomena, University of California, The Peaceman-Rachford-Douglas, Accurate Partial Difference Methods, Flame Dictionary Approach, Academic Press, Proceedings of the Third, Towards the Ultimate Conservation Difference Scheme, Applying Richardson, The Method of Fractional Steps Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
parabolic equations, dimensional diffusion equation, quarter plane problem, monotone finite difference method, artificial compression method, stable finite difference method, upwind difference method, random choice method, implicit fractional step method, prototype equation, compression flux, consider the finite difference method, order upwind method, monotonicity preserving, amplification matrix, boundary condition approximation, previous time level, discrete inner product, first order accurate, left boundary condition, explicit finite difference method, entropy condition, conservation form, discrete integration, implicit finite difference method Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pure Appl, New York, Numerical Methods, Fluid Dynamics, Lecture Notes, Hybrid Random Choice Method, Automotive Engine Modeling, Consider the Riemann, Consider the Lax-Friedrichs, Using the Taylor, Unstable Fingers, Flux-Corrected Transport, Unsteady Combustion Phenomena, University of California, The Peaceman-Rachford-Douglas, Accurate Partial Difference Methods, Flame Dictionary Approach, Academic Press, Proceedings of the Third, Towards the Ultimate Conservation Difference Scheme, Applying Richardson, The Method of Fractional Steps Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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