10753nam 2200493 450 991055271200332120231110223443.03-030-97549-5(MiAaPQ)EBC6930896(Au-PeEL)EBL6930896(CKB)21403916800041(PPN)261518046(EXLCZ)992140391680004120221031d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierLarge-scale scientific computing 13th International Conference, LSSC 2021, Sozopol, Bulgaria, June 7-11, 2021, revised selected papers /edited by Ivan Lirkov, Svetozar MargenovCham, Switzerland :Springer,[2022]©20221 online resource (557 pages)Lecture Notes in Computer Science ;v.13127Print version: Lirkov, Ivan Large-Scale Scientific Computing Cham : Springer International Publishing AG,c2022 9783030975487 Intro -- Preface -- Organization -- Contents -- Invited Papers -- Random-Walk Based Approximate k-Nearest Neighbors Algorithm for Diffusion State Distance -- 1 Introduction -- 2 Background -- 2.1 Notation -- 2.2 Diffusion State Distance (DSD) -- 2.3 Construction of k Nearest-Neighbor Set Based on DSD -- 3 Approximate kNN Set Construction -- 3.1 Random-Walk Based kNN Set Construction for X -- 3.2 Random-Walk Based kNN Set Construction for X"0365X -- 4 Numerical Experiments -- 4.1 Information About the Data Sets -- 4.2 Numerical Results on Approximate kNN Set Construction -- 4.3 Numerical Results on Function Prediction -- 5 Conclusions -- References -- Model Reduction for Large Scale Systems -- 1 Introduction -- 2 Petrov-Galerkin Based Model Reduction for PDE Constrained Optimization -- 2.1 Petrov-Galerkin Based Discretization and Model Reduction -- 2.2 A Posteriori Error Estimation for an Error Aware Algorithm -- 2.3 Trust-Region Optimization Approach and Adaptive Enrichment -- 3 Numerical Experiments -- 3.1 Model Problem: Quadratic Objective Functional with Elliptic PDE Constraints -- 3.2 Analysis of the Error Behavior -- 3.3 TR-RB Algorithm -- 4 Concluding Remarks -- References -- Fractional Diffusion Problems: Numerical Methods, Algorithms and Applications -- Constructions of Second Order Approximations of the Caputo Fractional Derivative -- 1 Introduction -- 2 Approximations of the Second Derivative -- 3 Second Order Approximations of the Caputo Derivative -- 4 Numerical Experiments -- References -- Parameter Identification Approach for a Fractional Dynamics Model of Honeybee Population -- 1 Introduction -- 2 Fractional Model -- 2.1 Fractional Calculus Background -- 2.2 Parameter Identification Formulation -- 3 Solution to the Inverse Problem via the Adjoint Equation Optimization Method.4 Numerical Solution to the Direct and Inverse Problems -- 5 Model Simulations -- 6 Conclusion -- References -- A Newton's Method for Best Uniform Polynomial Approximation -- 1 Introduction -- 2 Best Uniform Polynomial Approximation as a System of Nonlinear Equations -- 3 Derivatives of Polynomial Interpolants -- 4 Computing the Jacobian -- 5 The Algorithm -- 6 Numerical Examples -- References -- Reduced Sum Implementation of the BURA Method for Spectral Fractional Diffusion Problems -- 1 Introduction -- 2 The BURA Method -- 3 Computing the Best Uniform Rational Approximation -- 4 How Large Can the BURA Coefficients Be -- 5 Reduced Sum Method RS-BURA -- 6 Concluding Remarks -- References -- First-Order Reaction-Diffusion System with Space-Fractional Diffusion in an Unbounded Medium -- 1 Introduction -- 2 The Riesz Operator -- 3 The Reaction-Diffusion System -- 4 Correspondence with Previous Results -- 5 Evaluation of the Integrals -- 6 Discussion and Conclusion -- A Fourier Transform Convention -- B Hankel Transform Convention -- References -- Performance Study of Hierarchical Semi-separable Compression Solver for Parabolic Problems with Space-Fractional Diffusion -- 1 Introduction -- 2 Fractional Diffusion Modeled with the Riesz Potential -- 3 Hierarchical Semi-separable Compression Based Solver -- 4 Numerical Results -- 5 Conclusion -- References -- Numerical Solution of Non-stationary Problems with a Rational Approximation for Fractional Powers of the Operator -- 1 Introduction -- 2 Evolutionary Problems with a Fractional Power Operator -- 3 Rational Approximation for the Fractional Power Operator -- 4 Splitting Scheme for First Order Equations -- 5 Factorized Splitting Schemes -- References -- Large-Scale Models: Numerical Methods, Parallel Computations and Applications.An Exact Schur Complement Method for Time-Harmonic Optimal Control Problems -- 1 Introduction -- 2 An Exact Schur Complement Method -- 3 A Complex-to-Real Solution Method -- 4 Two Related Methods -- 5 Numerical Illustrations -- References -- On the Consistency Order of Runge-Kutta Methods Combined with Active Richardson Extrapolation -- 1 Introduction -- 2 The Method of Richardson Extrapolation -- 3 Runge-Kutta Methods and Their Order Conditions -- 4 Increasing the Order by Richardson Extrapolation -- 4.1 Order Increase from 1 to 2 -- 4.2 Order Increase from 2 to 3 -- 4.3 Order Increase from 3 to 4 -- 5 Numerical Experiment -- 6 Conclusion -- References -- Study the Recurrence of the Dominant Pollutants in the Formation of AQI Status over the City of Sofia for the Period 2013-2020 -- 1 Introduction -- 2 Methods -- 3 Computational Results -- 4 Discussion and Conclusion -- References -- One Solution of Task with Internal Flow in Non-uniform Fluid Using CABARET Method -- 1 Introduction -- 2 Differential Scheme by CABARET Method -- 3 Conclusion -- References -- Behavior and Scalability of the Regional Climate Model RegCM4 on High Performance Computing Platforms -- 1 Introduction -- 2 Model Configurations -- 3 Results -- 4 Discussion and Conclusion -- References -- Quantum Effects on 1/2[111] Edge Dislocation Motion in Hydrogen-Charged Fe from Ring-Polymer Molecular Dynamics -- 1 Introduction -- 2 Methods -- 2.1 Ring-Polymer Molecular Dynamics -- 2.2 Molecular Dynamics Simulations of Dislocation Motion -- 3 Results and Discussion -- 4 Conclusions -- References -- Degeneracy of Tetrahedral Partitions Produced by Randomly Generated Red Refinements -- 1 Introduction -- 2 Preliminaries -- 3 Red Refinements and Zhang Tetrahedra -- 4 Main Results -- References.Effluent Recirculation for Contaminant Removal in Constructed Wetlands Under Uncertainty: A Stochastic Numerical Approach Based on Monte Carlo Methodology -- 1 Introduction -- 2 Method of Analysis -- 2.1 Modelling of Recirculation -- 2.2 The Deterministic Problem -- 2.3 The Probabilistic Problem Treatment Using Monte Carlo Simulation -- 3 Numerical Example -- 3.1 Data of the Example-Problem and Uncertain-but-Bounded Input Parameters -- 3.2 Representative Numerical Results and Discussion -- 4 Conclusion -- References -- Sensitivity Study of Large-Scale Air Pollution Model Based on Modifications of the Latin Hypercube Sampling Method -- 1 Introduction -- 2 Latin Hypercube Sampling -- 3 Sensitivity Studies with Respect to Emission Levels -- 4 Sensitivity Studies with Respect to Chemical Reactions Rates -- 5 Conclusion -- References -- Sensitivity Operator-Based Approach to the Interpretation of Heterogeneous Air Quality Monitoring Data -- 1 Introduction -- 2 Mathematical Background and Methods -- 2.1 Problem Statement -- 2.2 Inverse Modeling with Sensitivity Operators -- 2.3 Measurement Data in a Heterogeneous Monitoring System -- 2.4 Inverse Modeling Scenario -- 3 Results and Discussion -- 4 Conclusions -- References -- Using the Cauchy Criterion and the Standard Deviation to Evaluate the Sustainability of Climate Simulations -- 1 Introduction and Problem Determination -- 2 Methodology -- 3 An Example with Observations and Three GCMs -- 4 Conclusion -- References -- Multidimensional Sensitivity Analysis of an Air Pollution Model Based on Modifications of the van der Corput Sequence -- 1 Introduction -- 2 The van der Corput Sequence -- 3 Sensitivity Studies -- 3.1 Plain Monte Carlo Algorithm -- 3.2 Sensitivity Studies with Respect to Emission Levels -- 3.3 Sensitivity Studies with Respect to Chemical Reactions Rates -- 4 Conclusion -- References.Running an Atmospheric Chemistry Scheme from a Large Air Pollution Model by Using Advanced Versions of the Richardson Extrapolation -- 1 Introduction -- 2 Selection of Three Underlying Runge-Kutta Methods -- 3 Applying Nine Versions of the Richardson Extrapolation -- 4 Numerical Results -- 5 Concluding Remarks -- References -- Application of Metaheuristics to Large-Scale Problems -- New Clustering Techniques of Node Embeddings Based on Metaheuristic Optimization Algorithms -- 1 Introduction -- 1.1 Related Work -- 1.2 Our Contribution -- 2 The Node Embedding Clustering Framework Based on Metaheuristic Optimization Algorithms -- 2.1 Solution Representations -- 2.2 Clustering as an Optimization Problem -- 2.3 Nature-Inspired Clustering Framework for Node Embeddings -- 3 Experimental Analysis -- 4 Discussion and Conclusion -- References -- A Comparison of Machine Learning Methods for Forecasting Dow Jones Stock Index -- 1 Introduction -- 2 Data Preprocessing -- 3 Scaling and Data Transformation -- 4 Model Preparation -- 5 Optimization of Support Vector Machine -- 5.1 Results -- 6 Optimization of Random Forest -- 7 Conclusion and Future Work -- References -- Optimal Knockout Tournaments: Definition and Computation -- 1 Introduction -- 2 Knockout Tournaments -- 3 Pairings -- 4 Tournament Cost -- 5 A Dynamic Programming Algorithm for Computing Optimal Tournaments -- 6 Conclusions -- References -- Risk Registry Platform for Optimizations in Cases of CBRN and Critical Infrastructure Attacks -- 1 Introduction -- 2 Methodology -- 3 Data Evaluation for CBRN Risks at National, Regional, and Cross Border Levels for Greece, Bulgaria, Cyprus -- 4 Risk Registry Platform and Its Tools -- 5 Conclusion -- References -- Influence of the ACO Evaporation Parameter for Unstructured Workforce Planning Problem -- 1 Introduction -- 2 Definition of Workforce Planning Problem.3 Application of ACO on Workforce Planning.Lecture Notes in Computer Science ScienceData processingScienceData processing.502.85Lirkov Ivan1963-Margenov 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