Advanced Computing in Industrial Mathematics. 15th Annual Meeting of the Bulgarian Section of SIAM, December 15–17, 2020, Sofia, Bulgaria, Revised Selected Papers

Preface
Contents
Sensitivity of the Nonlinear Matrix Equation Xp = A+ M(B+X-1)-1M
	1 Introduction
	2 Perturbation Bounds
		2.1 Local Bound
		2.2 Nonlocal Bound
	3 Numerical Examples
	4 Conclusions
	References
Adjoint State Optimization Algorithm for Prediction of Honeybee Population Losses
	1 Introduction
	2 Mathematical Model
	3 Inverse Problem
	4 Solution to the Direct Problem
	5 Solution to the Inverse Problem
	6 Numerical Simulations
	7 Discussion
	References
Study of Time Series Connected to an Innovative Window Heat Transfer System
	1 Introduction
	2 The Experimental Facility
	3 Discussion of the Measured Time Series
	4 Concluding Remarks
	References
Coefficient Identification for SEIR Model and Economic Forecasting in the Propagation of COVID-19
	1 Introduction
	2 The SEIR Model
		2.1 Basic Reproduction Number
	3 Inverse Problem Formulation
	4 Numerical Solution to the Direct Problem
		4.1 Economic Modeling
	5 Numerical Solution to the Inverse Problem
	6 Computational Results
	7 Conclusion
	References
Recovering the Time-Dependent Volatility and Interest Rate in European Options from Nonlocal Price Measurements by Adjoint Equation Optimization
	1 Introduction
	2 The Direct and Inverse Problems
		2.1 The Direct Problems
		2.2 The Inverse Problems
	3 The Adjoint Equation Optimization Framework for the 1D Problem
	4 The Adjoint Equation Optimization Framework for the 2D Problem
	5 Finite Difference Adjoint Equations Formulation
	6 Conclusion
	References
Parallelizing Multiple Precision Taylor Series Method for Integrating the Lorenz System
	1 Introduction
	2 Taylor Series Method for the Lorenz System
	3 Parallelization of the Algorithm
	4 Parallel Performance Scalability
	5 Conclusions
	References
Discrete Model of Stationary Flow of a Substance in a Channel Containing Branches
	1 Introduction
	2 Mathematical Formulation of the Model
	3 Results for the Case of Two Branches
	4 Discussion
	References
Numerical Determination of Reaction Coefficient in a Degenerate Stationary Problem of Air Pollution
	1 Introduction
	2 The Direct and Inverse Problem
		2.1 The Direct Problem
		2.2 The Inverse Problem
	3 Inverse Problem Solution/Variational Data Assimilation System
		3.1 Sensitivity Problem
		3.2 Adjoint State Problem
		3.3 Gradient Equation
	4 Implementation of the Gradient Method
		4.1 Iterative Regularization Procedure
		4.2 Stopping Criterion
		4.3 Computational Algorithm
	5 The One-Dimensional Problem
	6 Numerical Results
	7 Conclusion
	References
Fast Positivity Preserving Numerical Method for Time-Fractional Regime-Switching Option Pricing Problem
	1 Introduction
	2 Problem Formulation
	3 Discretization
	4 Two-Grid Method
	5 Numerical Experiments
	6 Conclusions
	References
New Integer Coded Hexagonal QAM Schemes and Their Performance in AWGN Channel
	1 Introduction
	2 Preliminaries
		2.1 HQAM Constellations
		2.2 Integer Codes
	3 New Coded Modulation Schemes
		3.1 16-HQAM Scheme
		3.2 32-HQAM Scheme
		3.3 64-HQAM Scheme
		3.4 128-HQAM Scheme
		3.5 256-HQAM Scheme
	4 Performance of the Proposed Schemes
		4.1 16-HQAM Scheme
		4.2 32-HQAM Scheme
		4.3 64-HQAM Scheme
		4.4 128-HQAM Scheme
		4.5 256-HQAM Scheme
	5 Conclusion
	References
Comparison of Four Classification Methods on Small-Sample-Size Synthetic RNA-seq Data
	1 Introduction
	2 Methods
		2.1 Data Generation
		2.2 Simulation Setup and Parameters
		2.3 Error Evaluation
	3 Results and Discussion
		3.1 True Error Estimation
		3.2 Comparison Between ER and BRESUB for LDA
	4 Conclusions
	5 Supplementary Material
	References
Performance Analysis of Direct Gaussian Solvers for Solving 2D Elastodynamic Problem of a Finite-Sized Solid Containing Cavities on CPUs and MICs
	1 Introduction
	2 2D Elastodynamic Problem, Containing Cavities
		2.1 Problem Formulation
		2.2 Boundary Element Method
	3 Comparative Scalability Analysis
		3.1 Intel Xeon CPU Tests
		3.2 Intel Xeon Phi MIC Tests
		3.3 Comparison of Best Times
	4 Concluding Remarks
	References
Memory Computing on the Edge of Chaos
	1 Introduction
	2 Memristor CNN Model
	3 Edge of Chaos
	4 Pattern Formation
	5 Conclusion
	References
Sensitivity Analysis of a Large-Scale Air Pollution Model by Using Effective Stochastic Approaches
	1 Introducton
	2 The van der Corput Sequence
	3 Sensitivity Studies with Respect to Emission Levels
	4 Sensitivity Studies with Respect to Chemical Reactions Rates
	5 Conclusion
	References
Two-Way Intuitionistic Fuzzy Analysis of Variance for COVID-19 Cases in Europe by Season and Location Factors
	1 Introduction
	2 Basic Definitions on Intuitionistic Fuzzy Pairs and IMs
	3 Application of Two-Factor ANOVA to the COVID-19 Cases in Europe by Location and Season Factors
		3.1 Calculations of Nonreplicated Two-Way ANOVA
		3.2 Dependence of COVID-19 Cases on ``Season'' and ``Location'' Factors in European Countries
	4 Intuitionistic Fuzzy Two-Way Variation Analysis on ``Season'' and ``Location'' Factors in Europe
		4.1 Nonreplicated 2-Factor IFANOVA
		4.2 Software Utility ``Test2'' over COVID-19 Cases in Europe
	5 Conclusion
	References
A Generic Nonlinear Evolution Equation of Magnetic Type I. Reductions
	1 Introduction
	2 Generic Generalized Heisenberg Ferromagnet Equation
	3 Gauge Transformations and Gauge Equivalent Lax Pairs
	4 Reductions of GHF
	5 Conclusion
	References
Author Index