Paperback. Etat : New. Print on Demand. This book introduces two methods of approximating parabolic partial differential equations through the lens of difference methods: alternating direction techniques, and a new semi-explicit method. While the unconditional stability of alternating direction methods for the heat conduction equation has been proven in the past, the author extends these proofs to a far broader range of parabolic equations. The semi-explicit method is an unconditionally stable explicit method, and is self-starting unlike other explicit methods. The author applies the energy method to the problem of establishing the rate of convergence of iterative methods in elliptic difference equations, providing a path forward in solving these types of equations. Ultimately, this book aims to provide a deeper understanding of difference methods for solving parabolic partial differential equations, offering new insights for researchers and practitioners in computational mathematics. 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. N� de r�f. du vendeur 9781333553579_0

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Alternating Direction and Semi-Explicit Difference Methods for Parabolic Partial Differential Equations (Classic Reprint) - Couverture souple

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