Forging Connections between Computational Mathematics and Computational Geometry

1. Front Matter

   Pages i-xv

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2. Computational Mathematics

   1. Front Matter

      Pages 1-1

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   2. An Augmented Lagrangian Approach with Enhanced Local Refinement to Simulating Yield Stress Fluid Flows Around a Spherical Gas Bubble

      • Jianying Zhang

      Pages 3-12

   3. On Classical Solution in Finite Time of BGK-Poisson’s Equations

      • Slim Ben Rejeb

      Pages 13-23

   4. A Note on Lanczos Algorithm for Computing PageRank

      • Kazuma Teramoto, Takashi Nodera

      Pages 25-33

   5. Superconvergence of Discontinuous Galerkin Method to Nonlinear Differential Equations

      • Helmi Temimi

      Pages 35-42

   6. A Least Squares Approach for Exponential Rate of Convergence of Eigenfunctions of Second-Order Elliptic Eigenvalue Problem

      • Lokendra K. Balyan

      Pages 43-52

   7. Multivariable Polynomials for the Construction of Binary Sensing Matrices

      • R. Ramu Naidu, Phanindra Jampana, Sastry Challa

      Pages 53-61

   8. An Ant Colony Algorithm to Solve the Container Storage Problem

      • Ndèye Fatma Ndiaye, Adnan Yassine, Ibrahima Diarrassouba

      Pages 63-73

   9. FEM Post-processing in Identifying Critical Points in an Image

      • I. C. Cimpan

      Pages 75-86

   10. Global and Local Segmentation of Images by Geometry Preserving Variational Models and Their Algorithms

       • Jack Spencer, Ke Chen

       Pages 87-105

3. Pure Mathematics

   1. Front Matter

      Pages 107-107

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   2. Positive and Negative Interval Type-2 Generalized Fuzzy Number as a Linguistic Variable in Interval Type-2 Fuzzy Entropy Weight for MCDM Problem

      • Nurnadiah Zamri, Lazim Abdullah

      Pages 109-126

   3. The Number of Complex Roots of a Univariate Polynomial Within a Rectangle

      • Ganhewalage Jayantha Lanel, Charles Ching-An Cheng

      Pages 127-132

   4. Proof of Fermat’s Last Theorem for n = 3 Using Tschirnhaus Transformation

      • B. B. U. Perera, R. A. D. Piyadasa

      Pages 133-136

4. Computational Geometry

   1. Front Matter

      Pages 137-137

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   2. Geometrical Problems Related to Crystals, Fullerenes, and Nanoparticle Structure

      • Mikhail M. Bouniaev, Nikolai P. Dolbilin, Oleg R. Musin, Alexey S. Tarasov

      Pages 139-151

   3. Tomographic Inversion Using NURBS and MCMC

      • Zenith Purisha, Samuli Siltanen

      Pages 153-166

   4. Solving Fuzzy Differential Equation Using Fourth-Order Four-Stage Improved Runge–Kutta Method

      • Faranak Rabiei, Fudziah Ismail, Saeid Emadi

      Pages 167-177

   5. Effect of Bird Strike on Compressor Blade

      • A. Ajin Kisho, G. Dinesh Kumar, John Mathai, Vickram Vickram

      Pages 179-195

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.

• Applied Mathematics
• Computational Geometry
• Computer Graphics
• Graphics for Mathematics
• Numerical Algorithms
• Regression Modeling

• Department of Mathematical Sciences, The University of Liverpool, Liverpool, UK

  Ke Chen

• Global Science and Technology Forum, Singapore, Singapore

  Anton Ravindran

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