Advances in Mathematical Methods and High Performance Computing

✍ Scribed by Vinai K. Singh, David Gao, Andreas Fischer

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 498
• Series: Advances in Mechanics and Mathematics 41
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community.

✦ Table of Contents

Front Matter ....Pages i-ix
Front Matter ....Pages 1-1
Canonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimization of Multi-Scale Systems (David Gao)....Pages 3-50
Numerical Investigation of Stochastic Neural Field Equations (Pedro M. Lima)....Pages 51-67
Nonstationary Signal Decomposition for Dummies (Antonio Cicone)....Pages 69-82
Modeling the Socio-Economic Waste Generation Factors Using Artificial Neural Network: A Case Study of Gurugram (Haryana State, India) (Ajay Satija, Dipti Singh, Vinai K. Singh)....Pages 83-103
Regularization of Highly Ill-Conditioned RBF Asymmetric Collocation Systems in Fractional Models (K. S. Prashanthi, G. Chandhini)....Pages 105-116
The Effect of Toxin and Human Impact on Marine Ecosystem (S. Chakraborty, S. Pal)....Pages 117-134
A Computational Study of Reduction Techniques for the Minimum Connectivity Inference Problem (Muhammad Abid Dar, Andreas Fischer, John Martinovic, Guntram Scheithauer)....Pages 135-148
Approximate Controllability of Nonlocal Impulsive Stochastic Differential Equations with Delay (Surendra Kumar)....Pages 149-161
Convergence of an Operator Splitting Scheme for Abstract Stochastic Evolution Equations (Joshua L. Padgett, Qin Sheng)....Pages 163-179
Modified Post-Widder Operators Preserving Exponential Functions (Vijay Gupta, Vinai K. Singh)....Pages 181-192
The Properties of Certain Linear and Nonlinear Differential Equations (Galina Filipuk, Alexander Chichurin)....Pages 193-200
Fixed Points for (ϕ, ψ)-Contractions in Menger Probabilistic Metric Spaces (Vandana Tiwari, Tanmoy Som)....Pages 201-208
A Novel Canonical Duality Theory for Solving 3-D Topology Optimization Problems (David Gao, Elaf Jaafar Ali)....Pages 209-246
Front Matter ....Pages 247-247
High Performance Computing: Challenges and Risks for the Future (Michael M. Resch, Thomas Boenisch, Michael Gienger, Bastian Koller)....Pages 249-257
Modern Parallel Architectures to Speed Up Numerical Simulation (Mikhail Lavrentiev, Konstantin Lysakov, Alexey Romanenko, Mikhail Shadrin)....Pages 259-269
Parallel Algorithms for Low Rank Tensor Arithmetic (Lars Grasedyck, Christian Löbbert)....Pages 271-282
The Resiliency of Multilevel Methods on Next-Generation Computing Platforms: Probabilistic Model and Its Analysis (Mark Ainsworth, Christian Glusa)....Pages 283-294
Visualization of Data: Methods, Software, and Applications (Gintautas Dzemyda, Olga Kurasova, Viktor Medvedev, Giedrė Dzemydaitė)....Pages 295-307
HPC Technologies from Scientific Computing to Big Data Applications (L. M. Patnaik, Srinidhi Hiriyannaiah)....Pages 309-319
Front Matter ....Pages 321-321
Analysis and Simulation of Time-Domain Elliptical Cloaks by the Discontinuous Galerkin Method (Yunqing Huang, Chen Meng, Jichun Li)....Pages 323-336
Dynamic Pore-Network Models Development (X. Yin, E. T. de Vries, A. Raoof, S. M. Hassanizadeh)....Pages 337-356
Mean Field Magnetohydrodynamic Dynamo in Partially Ionized Plasma: Nonlinear, Numerical Results (K. A. P. Singh)....Pages 357-370
Outcome of Wall Features on the Creeping Sinusoidal Flow of MHD Couple Stress Fluid in an Inclined Channel with Chemical Reaction (Mallinath Dhange, Gurunath Sankad)....Pages 371-385
A Fractional Inverse Initial Value Problem (Amin Boumenir, Vu Kim Tuan)....Pages 387-402
Three-Dimensional Biomagnetic Flow and Heat Transfer over a Stretching Surface with Variable Fluid Properties (M. G. Murtaza, E. E. Tzirtzilakis, M. Ferdows)....Pages 403-414
Effects of Slip on the Peristaltic Motion of a Jeffrey Fluid in Porous Medium with Wall Effects (Gurunath Sankad, Pratima S. Nagathan)....Pages 415-427
Linear and Nonlinear Double Diffusive Convection in a Couple Stress Fluid Saturated Anisotropic Porous Layer with Soret Effect and Internal Heat Source (Kanchan Shakya)....Pages 429-448
Modeling of Wave-Induced Oscillation in Pohang New Harbor by Using Hybrid Finite Element Model (Prashant Kumar, Rupali, Rajni)....Pages 449-456
Similarity Solution of Hydromagnetic Flow Near Stagnation Point Over a Stretching Surface Subjected to Newtonian Heating and Convective Condition (KM Kanika, Santosh Chaudhary, Mohan Kumar Choudhary)....Pages 457-469
Modelling Corrosion Phenomenon of Magnesium Alloy AZ91 in Simulated Body Fluids (Ramalingam Vaira Vignesh, Ramasamy Padmanaban)....Pages 471-486
Approximate and Analytic Solution of Some Nonlinear Diffusive Equations (Amitha Manmohan Rao, Arundhati Suresh Warke)....Pages 487-499
Back Matter ....Pages 501-503

✦ Subjects

Mathematics; Computational Science and Engineering; Engineering Fluid Dynamics; Numerical Analysis; Math Applications in Computer Science