This book constitutes the refereed proceedings of the 14th International Conference on Large-Scale Scientific Computations, LSSC 2023, held in Sozopol, Bulgaria, during June 5-9, 2023.
The 49 full papers included in this book were carefully reviewed and selected from 61 submissions. They were organized in topical sections as follows: preconditioning and multilevel methods; fractures and mixed dimensional modeling: discretizations, solvers, and methodology; machine learning and model order reduction for large scale predictive simulations; fractional differential problems: theoretical aspects, algorithms and applications; variational analysis and optimal control; stochastic optimal control and numerical methods in economics and finance; tensor methods for big data analytics and low-rank approximations of PDEs solutions; applications of metaheuristics to large-scale problems; large-scale models: numerical methods, parallel computations and applications; HPC and HPDA: algorithms and applications.
Inhaltsverzeichnis
Invited Papers
. - An Implementation of a Coarse-fine Mesh Stabilized Schwarz Method for a Three-space Dimensional PDE-problem. - Mixed Finite Element Methods for the Navier Stokes Biot Model. -
Preconditioning and Multilevel Methods
. - Numerical Comparison of Block Preconditioners for Poroelasticity. - Two-dimensional Semi-linear Riesz Space Fractional Diffusion Equations in Convex Domains: GLT Spectral Analysis and Multigrid Solvers. - Continuation Newton Methods with Applications to Plasticity. -
Fractures and Mixed Dimensional Modeling: Discretizations, Solvers, and Methodology
. - Mixed and Nitsche s Discretizations of Frictional Contact-mechanics in Fractured Porous Media. -
Machine Learning and Model Order Reduction for Large Scale Predictive Simulations
. - Towards Efficient SOT-assisted STT-MRAM Cell Switching Using Reinforcement Learning. - Machine Learning Algorithms for Parameter Identification for Reactive Flow in Porous Media. - Randomized Symplectic Model Order Reduction for Hamiltonian Systems. - Adaptive Localized Reduced Basis Methods for Large Scale PDE-constrained Optimization. - Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling. -
Fractional Differential Problems: Theoretical Aspects, Algorithms and Applications
. - Parametric Analysis of Space-time Fractional Pennes Bioheat Model Using a Collocation Method Based on Radial Basis Functions and Chebyshev Polynomials. - Numerical Determination of Source from Point Observation in a Time-Fractional Boundary-Value Problem on Disjoint Intervals. - The Wright Function Numerical Approximation and Hypergeometric Representation. - Study of Sparsification Schemes for the FEM Stiffness Matrix of Fractional Diffusion Problems. - Fractional Diffusion Problems with Reflecting Boundaries. -
Variational Analysis and Optimal Control
. - A Mean Field Model For Counter CBRN Threats. - A Sufficient Condition for a Discrete-Time Optimal Control Problem. -
Stochastic Optimal Control and Numerical Methods in Economics and Finance
. - Computation of the Unknown Time-Dependent Volatility of American Options from Integral Observations. -
Tensor Methods for Big Data Analytics and Low-Rank Approximations of PDEs Solutions
. - Efficient Solution of Stochastic Galerkin Matrix Equations via Reduced Basis and Tensor Train Approximation. - The Tensor-Train Mimetic Finite Difference Method For Three-dimensional Maxwell s Wave Propagation Equations. - A Functional Tensor Train Library in RUST for Numerical Integration and Resolution of Partial Differential Equations. -
Applications of Metaheuristics to Large-Scale Problems
. - Solving the Mountain Car Problem Using Genetic Algorithms. - Ant Algorithm with Local Search Procedure for Multiple Knapsack Problem. - Variable Neighborhood Search inHamming Space. - An Improved Algorithm for Fredholm Integral Equations. - Optimization of the Standard Lattice Sequence for Multidimensional Integrals Regarding Large-Scale Finance Problems. - Circular Intuitionistic Fuzzy Knapsack Problem. -
Large-Scale Models: Numerical Methods, Parallel Computations and Applications
. - Clouds Formed by Thermals Arising and Evolving under the Influence of the Coriolis Force. - A Nonstandard Finite Difference Method for a General Epidemic Model. - Minimization of Energy Functionals via FEM: Implementation of hp-FEM. - Influence of the Grid Resolutions on the Computer Simulated Transport and Transformation Atmospheric Composition Processes over the Territory of Bulgaria. - Development of New High Performance Computer Architectures and Improvements in Danish Eulerian Model for Long Range Transport of Air Pollutants. - Evaluation of the Effects of the National Emission Reduction Strategies for Years 2020-2029 and after 2030 on the AQI on the Territory of Bulgaria. - Mathematical and Computational Modeling of a Nonlinear Elliptic Problem in Divergence Form. - Two Approaches for Identifying Epidemiological Parameters Illustrated with COVID-19 Data for Bulgaria. - Improved Stochastic Lattice Methods for Large-scale Air Pollution Model. -
HPC and HPDA: Algorithms and Applications
. - Parallel Solution of the Schrödinger-Poisson Equation on GPUs. - Anastylosis of Frescos a Web Service in an HPC Environment. - A Resolvent Quasi-Monte Carlo Method for Estimating the Minimum Eigenvalues Using the Error Balancing. - Influence of the Grid Resolutions on the Computer Simulated Air Quality Indices over the Territory of Bulgaria. - Application of Active Subspaces for Model Reduction and Identification of Design Space. - EOCSim: A CloudSim-Based Simulator for Earth Observation Data Processing in Clouds. - About Methods of Vector Addition over FiniteFields Using Extended Vector Registers. - Grid Search Optimization of Novel SNN-ESN Classifier on a Supercomputer Platform. - Parallelisms of PG(3, 4) with a Great Number of Regular Spreads. -
Contributed Papers
. - On Some Quadratic Eigenvalue Problems. - Numerical Determination of Time-dependent Volatility for American Option When the Optimal Exercise Boundary Is Known. - Exploring the Global Solution Space of a Simple Schrödinger-Poisson Problem.
