This book, an outgrowth of the author's distinguished lecture series in Japan in 1995, identifies and describes current results and issues in certain areas of computational fluid dynamics, mathematical physics, and linear algebra. Notable among these are the author's new notion of numerical rotational release for the understanding of correct solution capture when modelling time-dependent higher Reynolds number incompressible flows, the author's fundamental new perspective of wavelets seen as stochastic processes, and the author's new theory of antieigenvalues which has created an entirely new view of iterative methods in computational linear algebra. Contents:Recent Developments in Computational Fluid Dynamics:Cavity FlowHovering AerodynamicsCapturing Correct SolutionsRecent Developments in Mathematical Physics:Probabilistic and Deterministic DescriptionScaling TheoriesChaos in Iterative MapsRecent Developments in Linear Algebra:Operator TrigonometryAntieigenvaluesComputational Linear Algebra Readership: Mathematicians, engineers and physicists. keywords:Aerodynamics;Dragonfly;Kolmogorov Systems;Wavelets;Time Operator;Chaos;Neural Networks;Antieigenvalues;Numerical Methods;Linear Algebraa unique steady solution for all Re. But, on the other hand, by analogy with other fluids problems in which multiple steady solutions can exist, albeit some more stable than others, it is conceivable that nonuniqueness could occur. Intuitively oneanbsp;...
|Title||:||Lectures on Computational Fluid Dynamics, Mathematical Physics, and Linear Algebra|