Forging Connections between Computational Mathematics and Computational Geometry: Papers from the 3rd International Conference on Computational ... Proceedings in Mathematics & Statistics)

Description

This volume presents original research contributed to the 3rd Annual International Conference on Computational Mathematics and Computational Geometry (CMCGS 2014), organized and administered by Global Science and Technology Forum (GSTF). Computational Mathematics and Computational Geometry are closely related subjects, but are often studied by separate communities and published in different venues. This volume is unique in its combination of these topics. After the conference, which took place in Singapore, selected contributions chosen for this volume and peer-reviewed. The section on Computational Mathematics contains papers that are concerned with developing new and efficient numerical algorithms for mathematical sciences or scientific computing. They also cover analysis of such algorithms to assess accuracy and reliability. The parts of this project that are related to Computational Geometry aim to develop effective and efficient algorithms for geometrical applications such as representation and computation of surfaces. Other sections in the volume cover Pure Mathematics and Statistics ranging from partial differential equations to matrix analysis, finite difference or finite element methods and function approximation. This volume will appeal to advanced students and researchers in these areas Front Matter....Pages - Front Matter....Pages 1-1 An Augmented Lagrangian Approach with Enhanced Local Refinement to Simulating Yield Stress Fluid Flows Around a Spherical Gas Bubble....Pages 3-12 On Classical Solution in Finite Time of BGK-Poisson’s Equations....Pages 13-23 A Note on Lanczos Algorithm for Computing PageRank....Pages 25-33 Superconvergence of Discontinuous Galerkin Method to Nonlinear Differential Equations....Pages 35-42 A Least Squares Approach for Exponential Rate of Convergence of Eigenfunctions of Second-Order Elliptic Eigenvalue Problem....Pages 43-52 Multivariable Polynomials for the Construction of Binary Sensing Matrices....Pages 53-61 An Ant Colony Algorithm to Solve the Container Storage Problem....Pages 63-73 FEM Post-processing in Identifying Critical Points in an Image....Pages 75-86 Global and Local Segmentation of Images by Geometry Preserving Variational Models and Their Algorithms....Pages 87-105 Front Matter....Pages 107-107 Positive and Negative Interval Type-2 Generalized Fuzzy Number as a Linguistic Variable in Interval Type-2 Fuzzy Entropy Weight for MCDM Problem....Pages 109-126 The Number of Complex Roots of a Univariate Polynomial Within a Rectangle....Pages 127-132 Proof of Fermat’s Last Theorem for n = 3 Using Tschirnhaus Transformation....Pages 133-136 Front Matter....Pages 137-137 Geometrical Problems Related to Crystals, Fullerenes, and Nanoparticle Structure....Pages 139-151 Tomographic Inversion Using NURBS and MCMC....Pages 153-166 Solving Fuzzy Differential Equation Using Fourth-Order Four-Stage Improved Runge–Kutta Method....Pages 167-177 Effect of Bird Strike on Compressor Blade....Pages 179-195 Front Matter....Pages 197-197 Asymptotic Density Crossing Points of Self-Normalized Sums and Normal....Pages 199-210 Exponential Ratio-Cum-Exponential Dual to Ratio Estimator in Double Sampling....Pages 211-220 Analysis of Performance of Indices for Indian Mutual Funds....Pages 221-233 Counting Regular Expressions in Degenerated Sequences Through Lazy Markov Chain Embedding....Pages 235-246 Front Matter....Pages 197-197 Generalized Variance Estimations of Normal-Poisson Models....Pages 247-260 Vehicle Routing Problem with Uncertain Costs via a Multiple Ant Colony System....Pages 261-273