Recent Advances in Mathematical and Statistical Methods

1. Front Matter

   Pages i-xiv

   PDF

2. Advances in Mathematical and Statistical Modelling

   1. Front Matter

      Pages 1-1

      PDF

   2. Reuse Method for Quantum Circuit Synthesis

      • C. Allouche, M. Baboulin, T. Goubault de Brugière, B. Valiron

      Pages 3-12

   3. Robust Reliable \(H_{\infty }\) Control and Input-to-State Stabilization for Uncertain Hybrid Systems

      • Mohamad S. Alwan, Xinzhi Liu, Taghreed G. Sugati

      Pages 13-22

   4. Exact Coloring of Sparse Matrices

      • Shahadat Hossain, Ahamad I. Khan

      Pages 23-36

   5. A General Method for Selection Function Optimization in Genetic Algorithms

      • Nawar Ismail, Matthew Demers

      Pages 37-46

   6. Exploring the Method of Colour Stealing for Contractive Iterated Function Systems

      • Eva Kasanda, Matthew Demers

      Pages 47-57

   7. Infinite Products Involving Binary Digit Sums

      • Samin Riasat

      Pages 59-68

3. Analytical and Computational Methods in Inverse Problems

   1. Front Matter

      Pages 69-69

      PDF

   2. Image-Driven Two-Point Boundary Value Inverse Problems: A Case Study

      • Victoria Brott, Herb Kunze

      Pages 71-79

   3. Circle Inversion IFS

      • Maxwell Fitzsimmons, Herb Kunze

      Pages 81-91

   4. Inverse Problems and Total Variation Minimization for Iterated Function Systems on Maps

      • Herb Kunze, Davide La Torre

      Pages 93-103

   5. Using the Collage Method to Solve Inverse Problems for Vector-Valued Variational Problems on a Perforated Domain in Reflexive Banach Spaces

      • Herb Kunze, Davide La Torre, Manuel Ruiz Galán

      Pages 105-114

   6. Inverse Problems Using Iterated Function Systems with Place-Dependent Probabilities

      • Davide La Torre, Erik A. Maki, Franklin Mendivil, Edward R. Vrscay

      Pages 115-125

   7. Solving Inverse Problems for Fractional ODEs via the Collage Theorem

      • Kimberly M. Levere, Brent Van De Walker

      Pages 127-136

4. Computational Methods and Modelling in Engineering and Mechanics

   1. Front Matter

      Pages 137-137

      PDF

   2. Characterization of Fluid Dynamics in Capillary Vessels: Applications for Drug Delivery

      • Seraphin C. Abou

      Pages 139-150

   3. Large Eddy Simulation of Turbulent Flow Over a Hill Using a Canopy Stress Model

      • Md. Abdus Samad Bhuiyan, Jahrul M. Alam

      Pages 151-160

   4. A Computational Model for Adjusting Surface Tension Coefficient in Pseudo-potential Lattice Boltzmann Method

      • Mahmud Ashrafizaadeh, Seyyed Meysam Khatoonabadi

      Pages 161-170

   5. Magnetohydrodynamic Flow in a Rectangular Duct

      • Canan Bozkaya

      Pages 171-181

This book focuses on the recent development of methodologies and computation methods in mathematical and statistical modelling, computational science and applied mathematics. It emphasizes the development of theories and applications, and promotes interdisciplinary endeavour among mathematicians, statisticians, scientists, engineers and researchers from other disciplines.

The book provides ideas, methods and tools in mathematical and statistical modelling that have been developed for a wide range of research fields, including medical, health sciences, biology, environmental science, engineering, physics and chemistry, finance, economics and social sciences. It presents original results addressing real-world problems.

The contributions are products of a highly successful meeting held in August 2017 on the main campus of Wilfrid Laurier University, in Waterloo, Canada, the International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS-2017). They make this book a valuable resource for readers interested not only in a broader overview of the methods, ideas and tools in mathematical and statistical approaches, but also in how they can attain valuable insights into problems arising in other disciplines.

• computational methods
• mathematical models
• statistical methods
• applications
• natural and social sciences
• engineering and technology
• finance
• economics
• management

• Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Canada

  D. Marc Kilgour, Roman Makarov, Roderick Melnik, Xu Wang

• Department of Mathematics & Statistics, University of Guelph, Guelph, Canada

  Herb Kunze

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