Computational Science and its Applications

Computational science is a rapidly growing multidisciplinary field concerned with the design, implementation, and use of mathematical models to analyze and solve real-world problems. It is an area of science that spans many disciplines and which involves the development of models and allows the use of computers to perform simulations or numerical analysis to understand problems that are computational and theoretical.

provides an opportunity for readers to develop abilities to pose and solve problems that combine insights from one or more disciplines from the natural sciences with mathematical tools and computational skills. This requires a unique combination of applied and theoretical knowledge and skills. The topics covered in this edited book are applications of wavelet and fractals, modeling by partial differential equations on flat structure as well as on graphs and networks, computational linguistics, prediction of natural calamities and diseases like epilepsy seizure, heart attack, stroke, biometrics, modeling through inverse problems, interdisciplinary topics of physics, mathematics, and medical science, and modeling of terrorist attacks and human behavior. The focus of this book is not to educate computer specialists, but to provide readers with a solid understanding of basic science as well as an integrated knowledge on how to use essential methods from computational science.

• Modeling of complex systems
• Cognitive computing systems for real-world problems
• Presentation of inverse problems in medical science and their numerical solutions
• Challenging research problems in many areas of computational science

This book could be used as a reference book for researchers working in theoretical research as well as those who are doing modeling and simulation in such disciplines as physics, biology, geoscience, and mathematics, and those who have a background in computational science.

Late Prof. A. H. Siddiqi was an Indian Mathematician and Professor of Applied Mathematics. He was serving as Professor Emeritus in the School of Basic Sciences and Research at Sharda University, Greater Noida, India. He has also served as a Former Pro Vice-Chancellor, Aligarh Muslim University. Siddiqi was also the President of Indian Society of Industrial and Applied Mathematics (ISIAM). He has authored 12 books, edited 12 volumes and published more 100 research papers. He has also held important administrative positions in AMU and other institutions of repute.

Dr. R. C. Singh has rich experience of more than 30 years as a researcher out of which more than 10 years as Professor of Physics. Presently, Dr. Singh is Professor of Physics and in addition to that he is also Controller of Examinations of Sharda University. Dr. Singh obtained his doctorate from Banaras Hindu University (BHU), Varanasi in theoretical Condensed Matter Physics. He obtained his B.Sc. (Hons.) and M.Sc. degrees also in Physics from Banaras Hindu University. Dr. Singh has published more than 30 research papers in peer-reviewed international journals and conference proceedings. He has authored one book and co-edited seven conference proceedings. His area of research interest includes study of phase transitions in molecular liquids using density-functional theory; Time-series analysis using wavelets; Biometrics and Solar cells.

Dr. G. D. Veerappa Gowda is Professor at TIFR Centre for Applicable Mathematics, Bangalore. He has done fundamental work in the areas of Hyperbolic conservation laws, Control theory and Numerical approximation of conservation laws. Dr. Gowda obtained an explicit formula for the entropy weak solution of convex conservation laws with boundary conditions, extending the earlier work of Hopf and Lax for the initial value problem. Dr. Gowda has developed numerical schemes to solve problems arising in oil recovery and sand pile problem on a vertical source.