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" Advances in mathematical methods and high performance computing / "
Vinai K. Singh, David Gao, Andreas Fischer, editors.
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BL
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| Record Number
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859793
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| Title & Author
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Advances in mathematical methods and high performance computing /\ Vinai K. Singh, David Gao, Andreas Fischer, editors.
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| Publication Statement
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Cham, Switzerland :: Springer,, 2019.
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| Series Statement
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Advances in mechanics and mathematics,; volume 41
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1 online resource (ix, 503 pages) :: illustrations (some color)
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| ISBN
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3030024873
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: 3030024881
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: 9783030024871
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: 9783030024888
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3030024865
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9783030024864
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| Notes
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Includes index.
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| Contents
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Intro; Preface; Contents; Part I Mathematical Modeling, Applications, and Theoretical Foundations; Canonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimizationof Multi-Scale Systems; 1 Introduction and Motivation; 2 Multi-Scale Modeling and Properly Posed Problems; 2.1 Objectivity, Isotropy, and Symmetry in Modeling; 2.2 Subjectivity, Symmetry Breaking, and Well-Posed Problem; 2.3 Management Optimization; 2.4 Nonconvex Analysis and Boundary-Value Problems; 2.5 Lagrangian Mechanics and Initial-Value Problems
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2 The Ensemble Empirical Mode Decomposition Algorithm2.1 Numerical Examples; 3 The Iterative Filtering Method; 3.1 Numerical Examples; 4 Conclusions and Outlook; References; Modeling the Socio-Economic Waste Generation Factors Using Artificial Neural Network: A Case Study of Gurugram (Haryana State, India); 1 Introduction; 2 Materials and Methods; 2.1 Case Study Area; 2.2 Material and Methods; 2.2.1 Population (POP); 2.2.2 Urban Population (URB); 2.2.3 Literate Population (LIT); 2.2.4 Per Capita Income (PCI); 2.2.5 Municipal Solid Waste (MSW) Data; 2.2.6 Statistical Analysis of Data
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2.2.7 Proposed Artificial Neural Network (ANN) Model3 Results; 4 Conclusion; References; Regularization of Highly Ill-Conditioned RBF Asymmetric Collocation Systems in Fractional Models; 1 Introduction; 2 Preliminaries; 2.1 Fractional Integrals and Derivatives; 2.2 RBF Approximation; 3 Methodology; 3.1 A Fractional RBF Approximation; 3.2 Tikhonov Regularization; 3.3 Variable Shape Parameter; 4 Numerical Illustrations; 5 Conclusions; References; The Effect of Toxin and Human Impact on Marine Ecosystem; 1 Introduction; 2 The Mathematical Model 1; 3 Some Preliminary Results
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2.6 Mono-Duality and Duality Gap2.7 Bi-Duality and Conceptual Mistakes; 3 Unified Problem and Canonical Duality-Triality Theory; 3.1 Canonical Transformation and Gap Function; 3.2 Complementary-Dual Principle and Analytical Solution; 3.3 Triality Theory and NP-Hard Criterion; 4 Applications in Complex Systems; 4.1 Unconstrained Nonconvex Optimization Problem; 4.2 D.C. Programming; 4.3 Fixed Point Problems; 4.4 Mixed Integer Nonlinear Programming (MINLP); 4.5 General Knapsack Problem and Analytical Solution; 4.6 Bilevel Optimization and Optimal Control
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4.7 Multi-Level Multi-Targets MINLP and Topology Optimization5 Symmetry, NP-Hardness, and Perturbation Methods; 6 Connections with Popular Methods and Techniques; 6.1 Relation with SDP Programming; 6.2 Relation to Reformulation-Linearization/Convexification Technique; 6.3 Relation to Composite Minimization; 7 Conclusions; References; Numerical Investigation of Stochastic Neural Field Equations; 1 Introduction; 2 Numerical Approximation; 3 Numerical Examples; 4 Conclusions; References; Nonstationary Signal Decomposition for Dummies; 1 Introduction
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| Abstract
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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.
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| Subject
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High performance computing-- Mathematics.
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Computer science.
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Hydraulic engineering.
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Numerical analysis.
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| Dewey Classification
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004.1/1
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| LC Classification
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QA76.88
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| Added Entry
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Fischer, Andreas
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Gao, David
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Singh, Vinai K.
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