9781330357095 - the method of lines solution of partial differential equations (classic reprint) di hyman, james m. (5 risultati)
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Paperback. Condizione: New. Print on Demand. This book delves into the intricacies of the method of lines (MOL), a powerful technique for approximating solutions to partial differential equations (PDEs). The author meticulously examines various strategies for solving initial boundary value problems for PDEs, providing a detailed… analysis of both spatial and temporal discretization methods. Building on the historical context of numerical methods for solving PDEs, the book explores how to optimize the MOL by carefully balancing spatial and temporal errors. It emphasizes the importance of choosing efficient combinations of spatial and temporal methods to achieve a desired level of accuracy with minimal computational effort. The book goes into considerable detail about the selection of appropriate ODE integration methods, focusing on multistep methods that are well-suited for handling the stiffness inherent in many PDE problems. The author then presents a practical implementation of the MOL, describing a user-friendly FORTRAN subroutine package called MOLlD that allows scientists and engineers to efficiently solve a wide range of PDEs. The book includes a collection of numerical examples showcasing the package's capabilities and limitations, demonstrating the effectiveness of various MOL techniques for different types of PDEs. Ultimately, this book provides a comprehensive and accessible guide to the method of lines, offering valuable insights into the theoretical underpinnings and practical applications of this important numerical tool for solving PDEs. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.
