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Theory, Computation, and Application of Exponential Splines - Softcover

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9781332941971: Theory, Computation, and Application of Exponential Splines

Synopsis

This book studies exponential splines, a generalization of cubic splines, exploring their theoretical underpinnings, numerical computation, and wide applications in fields like computational fluid dynamics. The author details the boundary value problem for exponential splines in terms of second derivatives, addressing computational matters such as direct and iterative solutions of the spline equations and spline end conditions. The book also provides a novel parameter selection algorithm that produces shape-preserving interpolants. Furthermore, it delves into the periodic exponential spline, exploring its properties and computational aspects. Along the way, the author offers a wealth of examples that showcase exponential splines' superiority over cubic splines in practical applications, especially in capturing discontinuities without overshoot. This book is a valuable resource for mathematicians, engineers, and scientists seeking to deepen their understanding of exponential splines and their diverse applications.

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