- Description
- 1 online resource (xxvii, 650 pages) : illustrations.
- Additional Authors
- Apduhan, Bernady O.Gervasi, Osvaldo,Misra, Sanjay,Murgante, Beniamino,Rocha, Ana Maria Alves Coutinho,Stankova, Elena,Taniar, David,Torre, Carmelo,Wang, Shangguang,
- Notes
- 3 ConclusionsA Related Lemmas/Theorems; References; A New Heuristic for Bandwidth and Profile Reductions of Matrices Using a Self-organizing Map; 1 Introduction; 2 Self-organizing Map with Winner-takes-most Approach; 3 Self-organizing Map Applied to Bandwidth and Profile Reductions; 4 Description of Tests; 5 Results and Analysis; 5.1 Tests with the Harwell-Boeing Sparse Matrix Collection; 5.2 Simulations with Linear Systems Originated from Discretization of the Heat Conduction Equation by Finite Volumes3 Numerical Simulations of Model (1)3.1 Phase Plane Diagrams; 3.2 Time Series Diagrams; 3.3 Basin of Attraction; 4 Analysis of Model (2); 4.1 Fixed Points and Their Stability; 4.2 Stability via Lyapunov Function; 5 Numerical Simulations of Model (2); 5.1 Phase Plane Diagrams; 5.2 Time Series Diagrams; 5.3 Basin of Attraction; 6 Conclusion; References; Stability of a Certain 2-Dimensional Map with Cobweb Diagram; 1 Introduction; 1.1 A Root Finding Algorithm; 2 Stability of System (); 2.1 Dynamics of System () in a Rectangular Region; 2.2 Stability of System () with Cobweb Diagram3.1 Projective Representation3.2 Principle of Duality; 4 Solution of Ax = B; 5 Solution of Ax = 0; 6 Solution Ax = b and Ax = 0; 7 Barycentric Coordinates Computation; 8 Intersection of Two Planes; 9 Closest Point on the Line Given as an Intersection of Two Planes; 10 Symbolic Manipulations; 11 Example of Application; 12 Efficiency of Computation and GPU Code; 13 GPU Code; 14 Conclusion; Acknowledgment; References; Dynamical Behavior of a Cooperation Model with Allee Effect; 1 Introduction; 2 Analysis of Model (1); 2.1 Fixed Points and Their Stability; 2.2 Stability via Lyapunov Function5.3 Simulations with Linear Systems Arising from the Discretization of the Laplace Equation by Finite Volumes6 Conclusions; References; Modeling Combustions: The ab initio Treatment of the O(3P) + CH3OH Reaction; 1 Introduction; 2 Ab Initio Calculations of the Molecular Geometries and Energies; 3 The Fitting of the Potential Energy Surface; 4 Dynamical Calculations and Probabilities; 5 Conclusions; References; Point Placement in an Inexact Model with Applications; 1 Introduction; 2 The Distance Geometry Approach; 2.1 Algorithm DGPL; 2.2 Simulating DGPLIncludes author index.International conference proceedings.Intro; Preface; Organization; Contents -- Part I; Computational Methods, Algorithms and Scientific Applications; A Nonlinear Multiscale Viscosity Method to Solve Compressible Flow Problems; 1 Introduction; 2 Governing Equations and Variational Multiscale Formulation; 3 Numerical Experiments; 3.1 2D Oblique Shock Problem; 3.2 2D Reflected Shock Problem; 3.3 2D Explosion Problem; 4 Conclusions; References; "Extended Cross-Product" and Solution of a Linear System of Equations; Abstract; 1 Introduction; 2 Extended Cross Product; 3 Projective Representation and Duality PrincipleThe five-volume set LNCS 9786-9790 constitutes the refereed proceedings of the 16th International Conference on Computational Science and Its Applications, ICCSA 2016, held in Beijing, China, in July 2016. The 239 revised full papers and 14 short papers presented at 33 workshops were carefully reviewed and selected from 849 submissions. They are organized in five thematical tracks: computational methods, algorithms and scientific applications; high performance computing and networks; geometric modeling, graphics and visualization; advanced and emerging applications; and information systems and technologies.