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Polynomial Chaos Methods for Hyperbolic Partial Differential Equations: Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties (Mathematical Engineering) by Mass Per Pettersson, Gianluca Iaccarino, Jan Nordström (auth.) is a nonfiction available to read on EtoBox.
What is Polynomial Chaos Methods for Hyperbolic Partial Differential Equations: Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties (Mathematical Engineering) about?
• A timely and innovative text which supports computational scientists in keeping abreast of new developments • Useful for fluid dynamics researchers to incorporate uncertainty in their models • Provides the reader with an understanding of numerical methods for general stochastic hyperbolic problems This monograph presents computational techniques and numerical analysis to study conservation laws under uncertainty using the stochastic Galerkin formulation. With the continual growth of computer power, these methods are becoming increasingly popular as an alternative to more classical sampling-based techniques. The approach described in the text takes advantage of stochastic Galerkin projections applied to the original conservation laws to produce a large system of modified partial differential equations, the solutions to which directly provide a full statistical characterization of the effect of uncertainties. Polynomial Chaos Methods of Hyperbolic Partial Differential Equations focuses on the analysis of stochastic Galerkin systems obtained for linear and non-linear convection-diffusion equations and for a systems of conservation laws; a detailed well-posedness and accuracy analysi
Who reads Polynomial Chaos Methods for Hyperbolic Partial Differential Equations: Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties (Mathematical Engineering)?
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- Author
- Mass Per Pettersson, Gianluca Iaccarino, Jan Nordström (auth.)
- Publisher
- Springer International Publishing : Imprint: Springer
- Published
- 2015
- Language
- EN
- ISBN
- 9783319107141
- Category
- nonfiction
- Subjects
- Mathematics, Engineering, Science
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