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This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
This book introduces the fundamental principles of solving partial differential equations (PDEs) using finite difference methods, tailored for practitioners. It focuses on the practical aspects of numerical methods, including the design of finite difference schemes, the creation and execution of algorithms, the validation of these implementations, and the interpretation of numerical results to understand physical phenomena, with applications in physics and biology.
This book is presented as an accessible introduction to finite difference methods for solving PDEs, specifically designed for practitioners rather than academics. The approach emphasizes practical implementation and application, suggesting a focus on hands-on learning and real-world problem-solving in scientific fields. The open-access nature under a CC BY 4.0 license indicates a commitment to broad dissemination of knowledge.
Page Count:
0
Publication Date:
2017-01-01
ISBN-10:
3319554557
ISBN-13:
9783319554556
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