Numerical Methods for Wave Equations in Geophysical Fluid Dynamics by Dale R. Durran is a comprehensive textbook for graduate students and advanced undergraduates studying numerical methods for solving partial differential equations governing wave-like flows. The book covers fundamental numerical methods applicable across various scientific and engineering disciplines, with a focus on geophysical fluid dynamics. It includes topics such as finite-difference methods, series-expansion methods, finite-volume methods, and semi-Lagrangian methods. The text provides a balance between theoretical analysis and practical numerical experimentation, avoiding excessive emphasis on proofs while ensuring that the mathematical properties of each method are clearly explained in a way accessible to physical scientists. The book also discusses the numerical approximation strategies for wave-like geophysical flows, including the treatment of slow-moving waves in fluids with physically insignificant fast waves, and the formulation of wave-permeable boundary conditions for limited-area models. The text includes numerous problems at the end of each chapter, some marked with an asterisk indicating that they require numerical computation. The book is structured into chapters covering various aspects of numerical methods, including the theory of finite-difference approximations, systems of equations, and the solution of elliptic equations. It also addresses the challenges of simulating internally stratified flow and the importance of numerical stability and accuracy in fluid dynamics simulations. The book is supported by a list of references to further explore the theory and applications of the methods discussed. The author acknowledges the contributions of colleagues and students who provided feedback and assistance in the development of the text. The book is intended to serve as a resource for both teaching and research in the field of numerical methods for geophysical fluid dynamics.Numerical Methods for Wave Equations in Geophysical Fluid Dynamics by Dale R. Durran is a comprehensive textbook for graduate students and advanced undergraduates studying numerical methods for solving partial differential equations governing wave-like flows. The book covers fundamental numerical methods applicable across various scientific and engineering disciplines, with a focus on geophysical fluid dynamics. It includes topics such as finite-difference methods, series-expansion methods, finite-volume methods, and semi-Lagrangian methods. The text provides a balance between theoretical analysis and practical numerical experimentation, avoiding excessive emphasis on proofs while ensuring that the mathematical properties of each method are clearly explained in a way accessible to physical scientists. The book also discusses the numerical approximation strategies for wave-like geophysical flows, including the treatment of slow-moving waves in fluids with physically insignificant fast waves, and the formulation of wave-permeable boundary conditions for limited-area models. The text includes numerous problems at the end of each chapter, some marked with an asterisk indicating that they require numerical computation. The book is structured into chapters covering various aspects of numerical methods, including the theory of finite-difference approximations, systems of equations, and the solution of elliptic equations. It also addresses the challenges of simulating internally stratified flow and the importance of numerical stability and accuracy in fluid dynamics simulations. The book is supported by a list of references to further explore the theory and applications of the methods discussed. The author acknowledges the contributions of colleagues and students who provided feedback and assistance in the development of the text. The book is intended to serve as a resource for both teaching and research in the field of numerical methods for geophysical fluid dynamics.