Mathematical Analysis of Water Wave Generation Problems

“Mathematical Analysis of Water Wave Generation Problems” by Piyali Kundu is a comprehensive study on the mathematical analysis of water wave generation problems. The book presents the theoretical framework for modeling the water wave generation problems using partial differential equations. It also discusses the numerical methods used for solving these equations and their application to real-world problems.

The book starts with an introduction to the physical principles of water wave generation and propagation. It then provides a detailed mathematical analysis of the linear and nonlinear partial differential equations governing water wave generation problems. The author presents various numerical methods such as finite difference, finite element, and spectral methods used for solving these equations. The accuracy, convergence, and stability of these numerical methods are also discussed in detail.

The book also includes various case studies and real-world applications of water wave generation problems. It provides a comprehensive analysis of the challenges faced in the modeling and simulation of water wave generation problems and proposes solutions to overcome them. The author also discusses the importance of incorporating environmental factors in the modeling and simulation of water wave generation problems.

Overall, “Mathematical Analysis of Water Wave Generation Problems” is a valuable resource for researchers, engineers, and students in the field of water wave generation and propagation. It provides a comprehensive understanding of the mathematical analysis and numerical methods used for solving these problems and their application to real-world problems.