This volume explores the connections between mathematical modeling, computational methods, and high performance computing, and how recent developments in these areas can help to solve complex problems in the natural sciences and engineering. The content of the book is based on talks and papers presented at the conference Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST), held at Inderprastha Engineering College in Ghaziabad, India in January 2020. A wide range of both theoretical and applied topics are covered in detail, including the conceptualization of infinity, efficient domain decomposition, high capacity wireless communication, infectious disease modeling, and more. These chapters are organized around the following areas:
Partial and ordinary differential equations Optimization and optimal control High performance and scientific computing Stochastic models and statistics
Recent Trends in Mathematical Modeling and High Performance Computing will be of interest to researchers in both mathematics and engineering, as well as to practitioners who face complex models and extensive computations.
Section A: Partial and Ordinary Differential Equations -
1. Non Uniform
Rational B-Splines and Lagrange approximations for time-harmonic acoustic
scattering:accuracy and absorbing boundary conditions S.M. Dsouza,T. Khajah,
X. Antoine, S.P.A. Bordas, S. Natarajan.- 2. Some Significant Results on the
Union Graph Derived from Topological Space R. A. Muneshwar And K. L. Bondar.-
3. Existence and Uniqueness Results of Second Order Summation-Dierence
Equations in Cone Metric Space G. C. Done, K. L. Bondar And P. U. Chopade.-
4. Influence of radiant heat and non uniform heat source on MHD Casson fluid
flow of thin Liquid Film beyond a Stretching Sheet Jagadish V Tawade, Mahadev
Biradar, And Shaila S. Benal.- 5. Mhd boundary layer fow of Casson fluid
with gyrotactic microorganisms over porous linear stretching sheet and heat
transfer analysis with viscous dissipation G C Sankad And Ishwar
Maharudrappa.-
6. Design Of Coupled FIR filters for solving the nuclear
reactor point kinetics equations with feedback M Mohideen Abdul Razak.-
7.
Convergence of Substructuring Domain Decomposition Methods for
Hamilton-Jacobi Equation Bankim C. Mandal.-
8. Dynamical Behaviour of Dengue:
An SIR epidemic model Sudipa Chauhan, Sumit Kaur Bhatia and Simrat
Chaudhary.-
9. Deformable Derivative of Fibonacci Polynomials Krishna Kumar
Sharma.- Section B: Optimization And Optimal Control.-
10. Simulation and
Analysis of 5G Wireless mm-Wave Modulation Technique for High Capacity
Communication System M.Vinothkumar And Dr. Vinod Kumar.-
11. Controllability
of fractional stochastic delayed system with nonlocal conditions Surendra
Kumar.-
12. On Noncritical Solutions of Complementarity Systems Andreas
Fischer And Mario Jelitte.-
13. Testing the performance of some new hybrid
metaheuristic algorithms for high dimension optimization problems Souvik
Ganguli.-
14. Consumer Decisions in the Age of the Internet: Filtering
Information when Searching for Valuable Goods David M Ramsey.-
15. Optimality
Conditions for Vector Equilibrium Problems Ali Farajzadeh, Sahar Ranjbar.-
16.Strong Pseudoconvexity And Strong Quasiconvexity Of Non-differentiable
Functions Sanjeev Kumar Singh, Avanish Shahi And S K Mishra.- 17 Optimality
and Duality of pseudolinear multiobjective mathematical programs with
vanishing constraints J K Maurya, A Shahi and S K Mishra.-
18. The
Solvability and Optimality for Semilinear Stochastic Equation with Unbounded
Delay Shobha Yadav And Surendra Kumar.- Section C: High Performance and
Scientific Computing.-
19. The Role of Machine Learning and Artificial
Intelligence for High Performance Computing Michael M Resch.-
20. Slip Effect
On An Unsteady Ferromagnetic Fluid Flow Towards Stagnation Point Over A
Stretching Sheet Preeti Kaushik, Dr. Upendra Mishra And Dr. Vinai Kumar
Singh.-
21. Parallelization of Local Diagonal Extrema Pattern using a
Graphical ProcessingUnit And its Optimization Ashwath Rao B And Gopalakrishna
Kini N.- 22. On the recommendations for reducing cpu time of multi-grid
preconditioned gauss-seidel method Abdul Hannan Faruqi, M Hamid Siddique,
Abdus Samad And Syed Fahad Anwer.-
23. Fragment Production and its dynamics
using spatial correlations and Monte-Carlo based Analysis Code Rohit Kumar
And Ishita Puri.-
24. Effect of Halo Structure in Nuclear Reactions using
Monte-Carlo Simulations Sucheta, Rohit Kumar, And Rajeev K. Puri.- Section D:
Stochastic Models and Statistics.-
25. Performance Analysis of a
Two-Dimensional State Multiserver Markovian Queueing Model with Reneging
Customer Neelam Singla And Sonia Kalra.-
26. Performance modelling of a
Discrete-time Retrial Queue with Preferred and Impatient customers, Bernoulli
Vacation and Second optional service Geetika Malik And Shweta Upadhyaya.-
27.
On the Product and Ratio of Pareto and Maxwell Random Variables Noura Obeid
And Seifedine Kadry.-
28. Performance Analysis of a Discrete-time Retrial
Queue with Bernoulli Feedback, Starting Failure and Single Vacation Policy
Shweta Upadhyaya.- 29. Monofractal and Multifractal Analysis of Indian
Agricultural Commodity Prices Neha Sam, Vidhi Vashishth And Yukti.-
30.
Empirical Orthogonal Function Analysis of Sub Divisional Rainfall over
India K C Tripathi And M L Sharma.-
31. Forecast of Flow Characteristics in
Time Dependent Artery having Mild Stenosis A.K. Singh And S.P. Pandey.-
32.
Applicability of measure of noncompactness for the boundary value problems in
Lp spaces Tanweer Jalal, Ishfaq Ahmad Malik.-
33. Differential equations
involving theta functions and h-functions Vidya H .C. And Ashwath Rao B.
Lisainfo e-raamatute kohta