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Robust Computational Techniques for Boundary Layers
Robust Computational Techniques for Boundary Layers
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A01=Alan Hegarty
A01=Eugene O'Riordan
A01=Grigory I. Shishkin
A01=John M. Miller
A01=Paul Farrell
advanced scientific computing
Author_Alan Hegarty
Author_Eugene O'Riordan
Author_Grigory I. Shishkin
Author_John M. Miller
Author_Paul Farrell
Boundary Layer
boundary layer numerical techniques
Category=PHU
Complete Asymptotic Expansion
computational mathematics
Convection Diffusion Problems
differential equations solutions
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eq_nobargain
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Finite Difference Method
Finite Difference Operator
Fitted Mesh Method
FITTED OPERATOR METHODS
fluid dynamics modeling
graduate level textbook
Leading Edge Region
Maximum Pointwise Error
Mesh Points
Monotone Method
Non-physical Oscillations
numerical analysis methods
Ordinary Differential Equation
Parabolic Boundary Layer
Piecewise Linear Interpolants
Piecewise Uniform Mesh
Reaction Diffusion Problem
Relative Velocity Profile
Semilinear Problems
Singular Perturbation Parameter
Singular Perturbation Problems
Singularly Perturbed
Slip Boundary Condition
Theoretical Error Estimates
Uniform Mesh
Product details
- ISBN 9780367398781
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 19 Sep 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
Current standard numerical methods are of little use in solving mathematical problems involving boundary layers. In Robust Computational Techniques for Boundary Layers, the authors construct numerical methods for solving problems involving differential equations that have non-smooth solutions with singularities related to boundary layers. They present a new numerical technique that provides precise results in the boundary layer regions for the problems discussed in the book. They show that this technique can be adapted in a natural way to a real flow problem, and that it can be used to construct benchmark solutions for comparison with solutions found using other numerical techniques.
Focusing on robustness, simplicity, and wide applicability rather than on optimality, Robust Computational Techniques for Boundary Layers provides readers with an understanding of the underlying principles and the essential components needed for the construction of numerical methods for boundary layer problems. It explains the fundamental ideas through physical insight, model problems, and computational experiments and gives details of the linear solvers used in the computations so that readers can implement the methods and reproduce the numerical results.
Farrell, Paul; Hegarty, Alan; Miller, John M.; O'Riordan, Eugene; Shishkin, Grigory I.
Robust Computational Techniques for Boundary Layers
€80.99
