Advances in Mathematical Methods and High Performance Computing

Chapter 1- CanonicalDuality-Triality: UnifiedUnderstanding Modeling, Problems, and NP-Hardness in Multi-Scale Optimization.- Chapter 2- Numerical Investigation of Stochastic Neural Field Equations.- Chapter 3- Nonstationary signal decomposition for dummies.- Chapter 4- Modeling the socio-economic waste generation factors using artificial neural network: A case study of Gurugram (Haryana State, India).- Chapter 5- Regularization of Highly ill-Conditioned RBF Asymmetric Collocation Systems in Fractional Models.- Chapter 6- The Effect of Toxin and Human Impact on Marine Ecosystem.- Chapter 7- A Computational Study of Reduction Techniques for the Minimum Connectivity Inference Problem.- Chapter 8- Approximate Controllability of Nonlocal Impulsive Stochastic Differential Equations with Delay.- Chapter 9- Convergence of an Operator Splitting Scheme for Abstract Stochastic Evolution Equations.- Chapter 10- Modified Post-Widder Operators Preserving Exponential Functions.- Chapter 11- The Properties of Certain Linear and Nonlinear Differential Equations.- Chapter 12- Fixed Points for (ϕ,ψ)-Contractions in Menger Probabilistic Metric Spaces.- Chapter 13- A Novel Canonical Duality Theory for Solving 3-D Topology Optimization Problems.- Chapter 14- High Performance Computing Challenges and Risks for the Future.- Chapter 15- Modern Parallel Architectures to Speed Up Numerical Simulation.- Chapter 16- Parallel Algorithms for Low Rank Tensor Arithmetic.- Chapter 17- The Resiliency of Multilevel Methods on Next Generation Computing Platforms: Probabilistic Model and Its Analysis.- Chapter 18- Visualization of Data: Methods, Software and Applications.- Chapter 19- HPC Technologies from Scientific Computing to Big Data Applications.- Chapter 20- Analysis and simulation of time-domain elliptical cloaks by the discontinuous Galerkin method.- Chapter 21- Dynamic Pore-network Models Development.- Chapter 22- Mean Field Magnetohydrodynamic Dynamo in Partially Ionized Plasma: Nonlinear, Numerical Results .- Chapter 23- Outcome of Wall Features on the Creeping Sinusoidal Flow of MHD Couple Stress Fluid in an Inclined Channel with Chemical Reaction.- Chapter 24- A Fractional Inverse Initial Value Problem.- Chapter 25- Three Dimensional Biomagnetic Flow and Heat Transfer over a Stretching Surface with Variable Fluid Properties.- Chapter 26- Effects of Slip on the Peristaltic Motion of a Jeffrey Fluid in Porous Medium with Wall Effects.- Chapter 27- Linear and Nonlinear Double Diffusive Convection in a Couple Stress Fluid Saturated Anisotropic Porous Layer with Soret Effect and Internal Heat Source.- Chapter 28- Modeling of Wave Induced Oscillations in Pohang New Harbor by using Hybrid Finite Element Model.- Chapter 29- Similarity Solution of Hydromagnetic Flow near Stagnation Point over a Stretching Surface Subjected to Newtonian Heating and Convective Condition.- Chapter 30- Modelling Corrosion Phenomenon of Magnesium Alloy AZ91 in Simulated Body Fluids.- Chapter 31- Approximate and Analytic Solution of Some Nonlinear Diffusive Equations.