Large-Scale Scientific Computations : 14th International Conference, LSSC 2023, Sozopol, Bulgaria, June 5-9, 2023, Revised Selected Papers

• Autore: Lirkov Ivan
• Pubblicazione: Cham : , : Springer International Publishing AG, , 2024; ©2024
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (479 pages)
• Altri autori: MargenovSvetozar
• Nota di contenuto: Intro -- Preface -- Organization -- Contents -- Invited Papers -- An Implementation of a Coarse-Fine Mesh Stabilized Schwarz Method for a Three-Space Dimensional PDE-Problem -- 1 Introduction -- 2 The Schwarz Iteration Method and Its Stabilization -- 2.1 Schwarz Alternating Iteration Method with Maximal Overlap -- 2.2 Coarse and Coarse-Fine Mesh Stabilization -- 2.3 Implementation of the Stabilized Method -- 2.4 Modified Incomplete Factorization Methods -- 3 An Approach to Implement Schwarz Alternating Iteration Method and Coarse-Fine Mesh Stabilization for 3D Domains -- 3.1 Two-Level Layered Subdivisions -- 3.2 Solving the Problems Without Use of a Double Layered Subdomain Division -- 4 Numerical Tests -- 5 Concluding Remarks -- References -- Mixed Finite Element Methods for the Navier-Stokes-Biot Model -- 1 Introduction -- 2 Model Problem -- 3 Weak Formulations -- 3.1 Augmented Mixed Formulation -- 3.2 Banach Space Mixed Formulation -- 4 Numerical Methods -- 5 Numerical Results -- References -- Preconditioning and Multilevel Methods -- Robust Iterative Solvers for Algebraic Systems Arising from Elliptic Optimal Control Problems -- 1 Introduction -- 2 Solvers in the Case of Optimal L2 Regularizations -- 3 Numerical Results -- 4 Conclusions -- References -- Numerical Comparison of Block Preconditioners for Poroelasticity -- 1 Introduction -- 2 Weak Formulation -- 3 Preconditioners -- 4 Numerical Experiments -- 5 Conclusions -- References -- Two-Dimensional Semi-linear Riesz Space Fractional Diffusion Equations in Convex Domains: GLT Spectral Analysis and Multigrid Solvers -- 1 Problem Setting and Discretization -- 2 Spectral Analysis via Toeplitz and GLT Methods -- 3 Multigrid Proposal and Numerical Experiments -- References -- Continuation Newton Methods with Applications to Plasticity -- 1 Introduction. ; 2 Continuation Newton Method and Its Convergence -- 3 Elastic-Plastic Problem with Hardening -- 4 Continuation Method for the Limit Load in Perfect Plasticity -- References -- Fractures and Mixed Dimensional Modeling: Discretizations, Solvers, and Methodology -- Mixed and Nitsche's Discretizations of Frictional Contact-Mechanics in Fractured Porous Media -- 1 Mixed-Dimensional Contact Mechanics -- 2 Mixed, Stabilized Mixed and Nitsche's Discretizations of the Contact Mechanical Model -- 3 Comparison of the Mixed and Nitsche Formulations for a Coupled Poromechanical Simulation -- 4 Conclusion -- References -- Machine Learning and Model Order Reduction for Large Scale Predictive Simulations -- Towards Efficient SOT-Assisted STT-MRAM Cell Switching Using Reinforcement Learning -- 1 Introduction -- 1.1 SOT-Assisted STT-MRAM -- 1.2 Reinforcement Learning -- 2 Results and Discussion -- 3 Conclusion and Outlook -- References -- Machine Learning Algorithms for Parameter Identification for Reactive Flow in Porous Media -- 1 Motivation and Goals -- 2 Pore Scale Reactive Transport and Numerical Algorithm -- 3 Parameter Identification -- 3.1 Machine Learning and Data Science Algorithms -- 3.2 Computational Experiments -- 4 Conclusion -- References -- Randomized Symplectic Model Order Reduction for Hamiltonian Systems -- 1 Introduction -- 2 Essentials -- 3 Randomized Symplectic Model Order Reduction -- 4 Numerical Experiments -- 5 Conclusion and Outlook -- References -- Adaptive Localized Reduced Basis Methods for Large Scale PDE-Constrained Optimization -- 1 Introduction -- 2 Optimality System, Primal and Dual Equation -- 3 DG-MsFEM and Localized Reduced Basis Method -- 4 Relaxed Trust-Region Optimization with Reduced Models -- 5 Numerical Experiments -- References -- Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling. ; 1 Introduction -- 2 Reduced Order Modeling -- 3 Machine Learning for Regression -- 4 Deep Kernel Models -- 5 Certified and Adaptive RB-ML-ROM -- 6 Numerical Application -- 7 Conclusion -- References -- 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 -- 1 Introduction -- 2 Preliminaries -- 2.1 Fractional Derivatives -- 2.2 Chebyshev Polynomials -- 2.3 Radial Basis Functions -- 3 Heat Transfer Model -- 4 Numerical Solution -- 5 Results and Discussion -- 6 Conclusion -- References -- Numerical Determination of Source from Point Observation in a Time-Fractional Boundary-Value Problem on Disjoint Intervals -- 1 Introduction -- 2 Direct and Inverse Problems -- 3 Finite Difference Schemes -- 4 Numerical Solution of the Inverse Problem -- 5 Numerical Results -- References -- The Wright Function - Numerical Approximation and Hypergeometric Representation -- 1 Introduction -- 2 Numerical Approximation -- 3 Hypergeometric Representation -- 4 Numerical Experiments -- References -- Study of Sparsification Schemes for the FEM Stiffness Matrix of Fractional Diffusion Problems -- 1 Introduction -- 2 Integral Fractional Diffusion -- 3 Sparsification Schemes -- 4 Experimental Study of the Relative Error -- 5 Concluding Remarks -- References -- Fractional Diffusion Problems with Reflecting Boundaries -- 1 Introduction -- 2 The Models -- 2.1 Open Domain -- 2.2 The Symmetric Boundary Wall -- 2.3 A Fractional Boundary Condition -- 3 The Numerical Methods -- 3.1 Open Domain -- 3.2 The Reflective Boundary -- 3.3 The Fractional Boundary -- 4 The Influence of the Boundaries -- References -- Variational Analysis and Optimal Control -- A Mean Field Model for Counter CBRN Threats. ; 1 Motivation and Mathematical Description of the Model -- 2 Results -- References -- A Sufficient Condition for a Discrete-Time Optimal Control Problem -- 1 Statement of the Problem and Preliminaries -- References -- Stochastic Optimal Control and Numerical Methods in Economics and Finance -- Computation of the Unknown Time-Dependent Volatility of American Options from Integral Observations -- 1 Introduction -- 2 The Pricing Option Direct and Inverse Problems -- 3 Numerical Solution of the Direct Problem -- 4 Numerical Solution of the Inverse Problem -- 5 Computational Result -- 6 Conclusions and Future Work -- References -- 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 -- 1 Introduction -- 1.1 Problem Setting -- 2 Stochastic Galerkin Matrix Equations -- 3 Solving the Stochastic Galerkin Matrix Equations -- 4 Construction of the RB via Monte Carlo Sampling -- 4.1 Error Indicators for Greedy Monte Carlo Approach -- 4.2 Numerical Tests -- 5 Solution of Reduced System via TT Approximation -- 5.1 Numerical Testing -- 6 Conclusions -- References -- The Tensor-Train Mimetic Finite Difference Method for Three-Dimensional Maxwell's Wave Propagation Equations -- 1 Electromagnetic Wave Propagation Equations -- 2 Mimetic Calculus on Primal/dual Grids -- 3 Tensor-Train Mimetic Method for the Maxwell Wave Propagation Equations -- 4 Numerical Experiments -- References -- A Functional Tensor Train Library in RUST for Numerical Integration and Resolution of Partial Differential Equations -- 1 Introduction -- 2 Tensor Train and Functional Tensor Train -- 3 Rust Implementation -- 4 Numerical Example -- 5 Conclusions -- References -- Applications of Metaheuristics to Large-Scale Problems. ; Solving the Mountain Car Problem Using Genetic Algorithms -- 1 Introduction -- 2 Mountain Car Problem -- 2.1 Model of MCP -- 2.2 Finite State Space Formulation -- 3 System Design and Implementation -- 3.1 Genetic Algorithms -- 3.2 Design and Implementation Details -- 3.3 Parallel Approach -- 4 Experimental Results -- 4.1 Experimental Setup -- 4.2 Results and Discussions -- 5 Concluding Remarks -- References -- Ant Algorithm with Local Search Procedure for Multiple Knapsack Problem -- 1 Introduction -- 2 Problem Definition -- 3 Ant Colony Optimization -- 4 Local Search Procedure -- 5 Concluding Remarks -- References -- Variable Neighborhood Search in Hamming Space -- 1 Introduction -- 2 Basic VNS and Variants -- 3 VNS in Hamming Space -- 4 Computational Experiments -- 5 Conclusions -- References -- An Improved Algorithm for Fredholm Integral Equations -- 1 Introduction -- 2 Unbiased Stochastic Approach -- 2.1 Unbiased Old Approach for a Simplified Problem -- 2.2 Unbiased Old Approach for the General Problem -- 2.3 Description of the New Version of the Unbiased Algorithms NUSA for the Simplified Problem -- 2.4 The New Unbiased Stochastic Algorithm NUSA for the General Problem -- 3 Numerical Results -- 3.1 Stochastic Approach for One Dimensional Problem -- 3.2 Stochastic Approach for Multi Dimensional Problem -- 4 Conclusion -- References -- Optimization of the Standard Lattice Sequence for Multidimensional Integrals Regarding Large-Scale Finance Problems -- 1 Introduction -- 2 The Lattice Sequences -- 3 Computational Results -- 4 Conclusion -- References -- Circular Intuitionistic Fuzzy Knapsack Problem -- 1 Introduction -- 2 Basic Definitions of the Concepts of IMs and C-IF Triples -- 2.1 Operations and Relations on Circular Intuitionistic Fuzzy Triples (C-IFTs) -- 2.2 Definition, Operations, and Relations with Circular IF IMs (C-IFIMs). ; 3 A 0-1 Circular Intuitionistic Fuzzy KP.
• Titolo autorizzato: Large-Scale Scientific Computations
• ISBN: 3-031-56208-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996601562103316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Computer Science Series