Felix Kwok Département de mathématiques et de statistique Université Laval 
by Walter Gander,
Martin J. Gander and
Felix Kwok Published by Springer Series: Texts in Computational Science and Engineering 11 ISBN: 9783319043241 Year: 2014 DOI: 10.1007/9783319043258 Equal emphasis on theory, symbolic computation and numerical algorithms Scientific Computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes: we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finiteprecision arithmetic. The book includes many programs written in Matlab and Maple  Maple is often used to derive numerical algorithms, wheras Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material 'handson'. Download runnable codes and errata here. 
by Martin J. Gander and
Felix Kwok Published by SIAM Series: Fundamentals of Algorithms 12 ISBN: 9781611975307 Year: 2018 DOI: 10.1137/1.9781611975314 This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved approximately using computers. Numerical Analysis of Partial Differential Equations Using Maple and MATLAB provides
