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- For Example: Modelling Processes in Porous Media with Differential Equations
- For the Beginning: The Finite Difference Method for the Poisson Equation
- The Finite Element Method for the Poisson Equation
- The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order
- Grid Generation and a posteriori Error Estimation
- Iterative Methods for Systems of Linear Equations
- The Finite Volume Method
- Discretization Methods for Parabolic Initial Boundary Value Problems
- Iterative Methods for Nonlinear Equations
- Discretization Methods for Convection-Dominated Problems
- Appendices.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in - search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series,whichwill focus on advanced textbooks and research-level monographs.
- For the Beginning: The Finite Difference Method for the Poisson Equation
- The Finite Element Method for the Poisson Equation
- The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order
- Grid Generation and a posteriori Error Estimation
- Iterative Methods for Systems of Linear Equations
- The Finite Volume Method
- Discretization Methods for Parabolic Initial Boundary Value Problems
- Iterative Methods for Nonlinear Equations
- Discretization Methods for Convection-Dominated Problems
- Appendices.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in - search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series,whichwill focus on advanced textbooks and research-level monographs.
"This book has a large amount of new exercise problems that are uniformly distributed across the text. ... this book is a very nice text which will serve well for the undergraduate as well as graduate students and will also become a ready reference for scholars." (Murli M. Gupta, Mathematical Reviews, April, 2023)
"Many of the SIAM Review readership will be interested in NMEPPDE from the standpoint of self-study or classroom education. ... NMEPPDE offers the applied mathematics reader nearly a single point of entry to our broad and challenging area. ... a bit of open space on the bookshelf could profitably be well filled with a copy of NMEPPDE." (Robert C. Kirby, SIAM Review, Vol. 65 (1), March, 2023)
"Many of the SIAM Review readership will be interested in NMEPPDE from the standpoint of self-study or classroom education. ... NMEPPDE offers the applied mathematics reader nearly a single point of entry to our broad and challenging area. ... a bit of open space on the bookshelf could profitably be well filled with a copy of NMEPPDE." (Robert C. Kirby, SIAM Review, Vol. 65 (1), March, 2023)