Includes bibliographical references
|Statement||Donald J. Estep, Mats G. Larson, Roy D. Williams|
|Series||Memoirs of the American Mathematical Society -- no. 696|
|Contributions||Larson, Mats G., 1968-, Williams, Roy D|
|LC Classifications||QA3 .A57 no.696|
|The Physical Object|
|Pagination||109 p. ;|
|Number of Pages||109|
|LC Control Number||00036259|
Reaction-diffusion equations are commonly used to model a wide range of physical and biological phenomena. The numerical approximation of these equations plays a crucial role in understanding and predicting their behavior.
When we solve reaction-diffusion equations numerically, there is always some error associated with the approximation. This error arises from various sources, such as discretization errors, round-off errors, and errors in the initial and boundary conditions. Understanding and estimating these errors is essential to ensure the reliability and accuracy of the numerical solutions.
In his book, "Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations," Donald J. Estep provides a comprehensive analysis of error estimation techniques for systems of reaction-diffusion equations. This book serves as a valuable resource for researchers, practitioners, and students working in the field of numerical analysis.
The book focuses on the estimation of errors in numerical solutions of systems of reaction-diffusion equations. It covers a wide range of topics, including:
By providing a comprehensive overview of error estimation techniques, Estep empowers readers to assess the accuracy and reliability of their numerical solutions. This understanding is crucial for making informed decisions and interpretations based on the results obtained from numerical simulations.
The techniques covered in the book have direct applications in various fields, such as:
By understanding and estimating the errors associated with numerical solutions, researchers and practitioners can improve the reliability of their models and predictions. This book serves as a valuable guide for anyone working with reaction-diffusion equations in these areas.
The book "Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations" by Donald J. Estep can be downloaded in several formats:
This book is a valuable resource for researchers, practitioners, and students in the field of numerical analysis and reaction-diffusion equations. It provides a comprehensive understanding of error estimation techniques and their applications, enabling users to improve the accuracy and reliability of their numerical solutions.
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