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Table of Contents
Intro
Preface
Welcome Message from the Organizers
Organization
Contents
Part I
General Track 1: Computational Methods, Algorithms and Scientific Applications
Performance Evaluation of GPS Trajectory Rasterization Methods
1 Introduction
2 Tools and Rasterization Process Flow
2.1 Rasterization with QGIS
2.2 Rasterization with PostGIS
2.3 Rasterization with Python
2.4 Summary of Methods
3 Setup of the Experiments
4 Comparisons
5 Conclusions
References
An Algorithm for Polytope Overlapping Detection
1 Introduction
2 Preliminaries
3 Overlapping of Two Simplices
4 The Overlap Detection Algorithm
5 Overlap Detection Examples
6 Conclusion
References
Machine Learning-Based Numerical Dispersion Mitigation in Seismic Modelling
1 Introduction
2 Seismic Modelling
3 Numerical Dispersion Mitigation Network (NDM-net)
4 Numerical Experiments
4.1 Marmousi2 Model
4.2 Model with Vertical Intrusion
5 Conclusions
References
A Variant of the Nonlinear Multiscale Dynamic Diffusion Method
1 Introduction
2 The New Dynamic Diffusion Method
3 Numerical Results
3.1 Convergence Rates
3.2 Solution with Two Internal Layers
3.3 Reaction-Diffusion Problem
3.4 2D Advection-Diffusion-Reaction Problem
4 Conclusions
References
A Convergence Study of the 3D Dynamic Diffusion Method
1 Introduction
2 Dynamic Diffusion Method
3 Numerical Experiments
3.1 Diffusion-Convection (DC) Problem
3.2 Diffusion-Convection-Reaction (DCR) Problem
4 Conclusions
References
Comparison Between Protein-Protein Interaction Networks CD4+T and CD8+T and a Numerical Approach for Fractional HIV Infection of CD4+T Cells
1 Introduction
2 Comparison Protein-Protein Interaction Networks CD4+T and CD8+T
3 Mathematical Model Information
4 Preliminary Remarks
4.1 Discrete Chebyshev Polynomials
4.2 Shifted Discrete Chebyshev Polynomials
5 The Numerical Method
6 Computational Results and Comparisons
7 Conclusion
References
A Rapid Euclidean Norm Calculation Algorithm that Reduces Overflow and Underflow
1 Introduction
2 Related Work
3 Blue Algorithm and Two-Accumulator Method
3.1 Blue Algorithm
3.2 Two-Accumulator Method with Fixed Scaling Value
3.3 Two-Accumulator Method with Dynamic Scaling
3.4 Input Range and Vector Size
4 DD Arithmetic
4.1 Overview of DD Arithmetic
4.2 Euclidean Norm Calculation Using DD Arithmetic
5 Evaluation of Performance and Relative Error
5.1 Evaluation Method
5.2 Evaluation Results
6 Summary and Future Work
References
A Computational Analysis of the Hopmoc Method Applied to the 2-D Advection-Diffusion and Burgers Equations
1 Introduction
2 Hopmoc Method
3 Computational Analysis
3.1 Advection-Diffusion Equation
3.2 Burgers Equation
4 Conclusions
References
Preface
Welcome Message from the Organizers
Organization
Contents
Part I
General Track 1: Computational Methods, Algorithms and Scientific Applications
Performance Evaluation of GPS Trajectory Rasterization Methods
1 Introduction
2 Tools and Rasterization Process Flow
2.1 Rasterization with QGIS
2.2 Rasterization with PostGIS
2.3 Rasterization with Python
2.4 Summary of Methods
3 Setup of the Experiments
4 Comparisons
5 Conclusions
References
An Algorithm for Polytope Overlapping Detection
1 Introduction
2 Preliminaries
3 Overlapping of Two Simplices
4 The Overlap Detection Algorithm
5 Overlap Detection Examples
6 Conclusion
References
Machine Learning-Based Numerical Dispersion Mitigation in Seismic Modelling
1 Introduction
2 Seismic Modelling
3 Numerical Dispersion Mitigation Network (NDM-net)
4 Numerical Experiments
4.1 Marmousi2 Model
4.2 Model with Vertical Intrusion
5 Conclusions
References
A Variant of the Nonlinear Multiscale Dynamic Diffusion Method
1 Introduction
2 The New Dynamic Diffusion Method
3 Numerical Results
3.1 Convergence Rates
3.2 Solution with Two Internal Layers
3.3 Reaction-Diffusion Problem
3.4 2D Advection-Diffusion-Reaction Problem
4 Conclusions
References
A Convergence Study of the 3D Dynamic Diffusion Method
1 Introduction
2 Dynamic Diffusion Method
3 Numerical Experiments
3.1 Diffusion-Convection (DC) Problem
3.2 Diffusion-Convection-Reaction (DCR) Problem
4 Conclusions
References
Comparison Between Protein-Protein Interaction Networks CD4+T and CD8+T and a Numerical Approach for Fractional HIV Infection of CD4+T Cells
1 Introduction
2 Comparison Protein-Protein Interaction Networks CD4+T and CD8+T
3 Mathematical Model Information
4 Preliminary Remarks
4.1 Discrete Chebyshev Polynomials
4.2 Shifted Discrete Chebyshev Polynomials
5 The Numerical Method
6 Computational Results and Comparisons
7 Conclusion
References
A Rapid Euclidean Norm Calculation Algorithm that Reduces Overflow and Underflow
1 Introduction
2 Related Work
3 Blue Algorithm and Two-Accumulator Method
3.1 Blue Algorithm
3.2 Two-Accumulator Method with Fixed Scaling Value
3.3 Two-Accumulator Method with Dynamic Scaling
3.4 Input Range and Vector Size
4 DD Arithmetic
4.1 Overview of DD Arithmetic
4.2 Euclidean Norm Calculation Using DD Arithmetic
5 Evaluation of Performance and Relative Error
5.1 Evaluation Method
5.2 Evaluation Results
6 Summary and Future Work
References
A Computational Analysis of the Hopmoc Method Applied to the 2-D Advection-Diffusion and Burgers Equations
1 Introduction
2 Hopmoc Method
3 Computational Analysis
3.1 Advection-Diffusion Equation
3.2 Burgers Equation
4 Conclusions
References