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 ulƒk
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