ISBN: 9781332195992 - simultaneous, successive and alternating direction iteration schemes (classic reprint) (3 Ergebnisse)

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Paperback. Zustand: New. Print on Demand. This book examines the development of numerical techniques for solving elliptic partial differential equations. The author explores the convergence rates of iteration schemes for solving these equations, focusing on schemes that minimize a quadratic form. The book analyzes various schemes, including simultaneous, successive, and alternating direction schemes. By providing explicit solutions and eigenvalues for each scheme, the author offers a comprehensive understanding of their behavior and effectiveness. The book's mathematical rigor provides a solid foundation for researchers and practitioners working in numerical analysis and scientific computing. Its insights contribute to the field's progress by identifying successful strategies for solving elliptic equations and enhancing the accuracy and efficiency of numerical methods. 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. …