Computational science seeks to gain understanding of science through the use and analysis of mathematical models on high performance computers. The topics covered are gravitational waves, applications of wavelet and fractals, modeling by partial differential equations on flat structure as, production of natural calamities and diseases, etc
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.
Computational Science and its Applications
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.
Features:
- 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.
1. Ingredients for Applied Fourier
Analysis.....................................................................
.....1
Hans G. Feichtinger
2. Industrial Applications of Optimal Control for Partial Differential
Equations on Networks: Reduction and Decomposition Methods Applied to
the DiscreteContinuous Control of Gas Flow in Complex Pipe
Systems...............25
Günter Leugering
3. A Model to Assess the Role of Spatial Urban Configurations on Crowd
Evacuation Dynamics During Terrorist
Attacks............................................................ 41
D. Provitolo, R. Lozi, and E. Tric
4. Free Radical Processes in Medical Grade
UHMWPE.................................................... 61
M. Shah Jahan, Benjamin Walters, Afsana Sharmin, and Saghar Gomrok
5. Inverse Problems Involving PDEs with Applications to
Imaging..............................77
Taufiquar Khan
6. On an Efficient Family of Steffensen-Like Methods for Finding
Nonlinear
Equations....................................................................
......................................... 91
Vali Torkashvand and Manochehr Kazemi
7. Computational Methods for Conformable Fractional Differential
Equations............103
A. H. Siddiqi, R. C. Singh, and Santosh Kumar
8. Pan-Sharpening Using Modified Nonlocal Means-Based Guided Image
Filter in NSCT
Domain.......................................................................
............................... 117
Tarlok Singh and Pammy Manchanda
9. Moser-Trudinger and Adams
Inequalities.................................................................
.... 135
Kunnath Sandeep
10. Computational Ship Hydrodynamics: Modeling and
Simulation............................ 149
Sashikumaar Ganesan, Bhanu Teja, and Thivin Anandh
11. DNADrug Interaction: Insight from Computer
Simulations................................ 171
Anurag Upadhyaya, Shesh Nath, and Sanjay Kumar
12. A Graphical User Interface for Palmprint
Recognition............................................... 195
Rohit Khokher and R. C. Singh
13. Wavelet Approach for the Classification of Autism Spectrum
Disorder.................209
Noore Zahra, Hessa N. Al Eisa, Kahkashan Tabassum, Sahar A. EI-Rahman, and
Mona
Jamjoom
14. De-Noising Raman Spectra Using Total Variation De-Noising with Iterative
Clipping
Algorithm....................................................................
........................................225
Padmesh Tripathi, Nitendra Kumar, and A. H. Siddiqi
15. An Efficient Identity-Based Mutual Authentication Protocol for Cloud
Computing....................................................................
........................................................233
Vinod Kumar and Musheer Ahmad
16. Development of a Statistical Yield Forecast Model for Rice Using Weather
Variables Over Gorakhpur District of Eastern Uttar
Pradesh................................... 243
R. Bhatla, Rachita Tulshyan, Babita Dani, and A. Tripathi
17. Cognitive Computing Agent Systems: An Approach to Building Future
Real-World Intelligent
Applications.................................................................
.............. 257
A. Chandiok, A. Prakash, A. H. Siddiqi, and D. K. Chaturvedi
18. Controllability of Quasilinear Stochastic Fractional Dynamical Systems
in
Hilbert
Spaces.......................................................................
............................................... 275
R. Mabel Lizzy and K. Balachandran
19. The Advection-Dispersion Equation for Various Seepage Velocity
Patterns in a Heterogeneous
Medium.......................................................................
...... 291
Amit Kumar Pandey and Mritunjay Kumar Singh
20. On the Application of Genetic Algorithm and Support Vector Machine for
Classification of MRI Images for Brain
Tumors........................................................... 311
D. Gupta and M. Ahmad
21. Proximinality and Remotality in Abstract
Spaces....................................................... 325
Sangeeta and T. D. Narang
22. Conformable Fractional Laguerre and Chebyshev Differential Equations
with Corresponding Fractional
Polynomials................................................................33
5
Ajay Dixit and Amit Ujlayan
23. Computational Linguistics: Inverse Problems and Emerging Mathematical
Concepts.....................................................................
...........................................................345
Sana A. Ansari and Masood Alam
24. Legendre Wavelets Method for Solution of First-Kind Volterra
Problems............. 357
Pooja, J. Kumar, and P. Manchanda
25. Computational Linguistic Analysis of Retail
E-Commerce....................................... 371
Rashmi Bhardwaj and Aashima Bangia
26. Impact of Data Assimilation on Simulation of a Monsoonal Heavy Rainfall
Event over India Using ARW Modeling
System........................................................... 381
Shilpi Kalra, Sushil Kumar, and A. Routray
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.
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