Theory, Computation, and Application of Exponential Splines (Classic Reprint) - Hardcover

Brian J. McCartin

Hardcover

ISBN 10: 0331801302 ISBN 13: 9780331801309

Publisher: Forgotten Books, 2022

Synopsis

Unlock shape-preserving interpolation with exponential splines.

Theory, Computation, and Application of Exponential Splines explains how adding tensile forces changes the interpolant, replacing some higher-order terms with exponentials to preserve convexity and monotonicity in data. The book traces theory, practical computation, and broad applications, with an emphasis on robust, stable algorithms.

In clear, accessible language, it shows how exponential splines compare to cubic splines, discusses end conditions and numerical methods, and introduces algorithms for selecting tension parameters that produce reliable, shape‑preserving results. It also presents examples from computational fluid dynamics, including how these splines help simulate flows with shocks while keeping overshoots and wiggles under control. The material covers the direct and first-derivative formulations, spline bases, and implementation details that practitioners can apply to real problems.

• Understand the theory and why exponential splines can preserve essential data features like convexity and monotonicity
• Learn computational approaches for solving spline equations and choosing tension parameters
• See how exponential splines are used in fluid dynamics and related numeric simulations
• Explore extensions to higher‑order tension splines and Hermite interpolation

Ideal for readers of applied mathematics, numerical analysis, and engineering who seek a practical, theory‑driven approach to interpolation and approximation.

Edition details

• Publisher: Forgotten Books
• Publication date: 2022
• Language: English
• ISBN 10: 0331801302
• ISBN 13: 9780331801309
• Binding: Hardcover
• Number of pages: 321