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Large-scale scientific computing : 12th International Conference, LSSC 2019, Sozopol, Bulgaria, June 10-14, 2019, Revised selected papers / Ivan Lirkov, Svetozar Margenov (eds.).

By: (12th : LSSC (Conference) (12th : 2019 : Sozopol, Bulgaria)Contributor(s): Lirkov, Ivan, 1963- | Margenov, SvetozarMaterial type: TextTextSeries: Serienbezeichnung | Lecture notes in computer science ; 11958. | LNCS sublibrary. SL 1, Theoretical computer science and general issues.Publication details: Cham : Springer, 2020. Description: 1 online resource (633 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783030410322; 3030410323Other title: LSSC 2019Subject(s): Science -- Data processing -- Congresses | Engineering -- Data processing -- Congresses | High performance computing -- Congresses | Engineering -- Data processing | High performance computing | Science -- Data processingGenre/Form: Electronic books. | Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Large-Scale Scientific Computing : 12th International Conference, LSSC 2019, Sozopol, Bulgaria, June 10-14, 2019, Revised Selected Papers.DDC classification: 502.85 LOC classification: Q183.9Online resources: Click here to access online
Contents:
Intro -- Preface -- Organization -- Contents -- Invited Papers -- First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations -- 1 Introduction -- 2 Balanced Norms -- 3 First-Order System Least Squares Finite-Element Methods -- 4 Numerical Results -- 5 Conclusions -- References -- Big Data Analysis: Theory and Applications -- 1 Introduction -- 2 Optimization-Based Data Mining -- 3 Intelligent Knowledge -- 4 The Intelligence Quotient of Artificial Intelligence -- 5 Application of Big Data Analysis -- 5.1 China's National Credit Scoring System
5.2 ChunYu Doctors App -- 6 Challenges of Big Data Analysis -- 7 Conclusion -- References -- Control and Optimization of Dynamical Systems -- Solutions to the Hamilton-Jacobi Equation for Bolza Problems with State Constraints and Discontinuous Time Dependent Data -- 1 Introduction -- 2 Notation and Standing Assumptions -- 3 Two Characterizations of the Value Function -- 4 Proofs of Theorems1 and 2 -- References -- Optimal Control Problem of a Metronomic Chemotherapy -- 1 Introduction -- 2 Main Definitions -- 3 Metronomic Chemotherapy Model as an Optimal Control Problem
4 Numerical Analysis of a Model with an L2-objective -- 5 Numerical Analysis of a Model with a Regularized L1-objective -- 6 Conclusions -- References -- Asymptotic Behaviour of Controllability Gramians and Convexity of Small-Time Reachable Sets -- 1 Introduction -- 2 Convexity of Small Time Reachable Sets -- 3 Estimates for Minimal Eigenvalues of Controllability Gramian -- References -- On the Regularity of Mayer-Type Affine Optimal Control Problems -- 1 Introduction -- 2 Main Result -- 3 Proof of Theorem 1 -- References -- Meshfree and Particle Methods
Mesh-Hardened Finite Element Analysis Through a Generalized Moving Least-Squares Approximation of Variational Problems -- 1 Introduction -- 2 Generalized Moving Least Squares (GMLS) Regression -- 3 GMLS Approximation of Variational Equations -- 3.1 Application to a Model PDE -- 4 Numerical Examples -- References -- An Adaptive LOOCV-Based Algorithm for Solving Elliptic PDEs via RBF Collocation -- 1 Introduction -- 2 Kansa's Collocation Method -- 3 Adaptive LOOCV-Based Scheme -- 3.1 Basics on LOOCV -- 3.2 Error Indicator and Refinement via LOOCV -- 3.3 Further Adaptive Refinement
4 Numerical Results -- References -- Adaptive Refinement Techniques for RBF-PU Collocation -- 1 Introduction -- 2 RBF-PU Method for 2D Poisson PDEs -- 2.1 The RBF-PU Method -- 2.2 Solution of Poisson Problems -- 3 Adaptive Refinement Techniques -- 3.1 Algorithm 1 -- 3.2 Algorithm 2 -- 4 Numerical Experiments -- References -- Fractional Diffusion Problems: Numerical Methods, Algorithms and Applications -- A Second Order Time Accurate Finite Volume Scheme for the Time-Fractional Diffusion Wave Equation on General Nonconforming Meshes -- 1 Problem to Be Solved and Aim of This Paper
Summary: This book constitutes revised papers from the 12th International Conference on Large-Scale Scientific Computing, LSSC 2019, held in Sozopol, Bulgaria, in June 2019. The 70 papers presented in this volume were carefully reviewed and selected from 81 submissions. The book also contains two invited talks. The papers were organized in topical sections named as follows: control and optimization of dynamical systems; meshfree and particle methods; fractional diffusion problems: numerical methods, algorithms and applications; pore scale flow and transport simulation; tensors based algorithms and structures in optimization and applications; HPC and big data: algorithms and applications; large-scale models: numerical methods, parallel computations and applications; monte carlo algorithms: innovative applications in conjunctions with other methods; application of metaheuristics to large-scale problems; large scale machine learning: multiscale algorithms and performance guarantees; and contributed papers. -- Provided by publisher.
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Includes author index.

Print version record.

Intro -- Preface -- Organization -- Contents -- Invited Papers -- First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations -- 1 Introduction -- 2 Balanced Norms -- 3 First-Order System Least Squares Finite-Element Methods -- 4 Numerical Results -- 5 Conclusions -- References -- Big Data Analysis: Theory and Applications -- 1 Introduction -- 2 Optimization-Based Data Mining -- 3 Intelligent Knowledge -- 4 The Intelligence Quotient of Artificial Intelligence -- 5 Application of Big Data Analysis -- 5.1 China's National Credit Scoring System

5.2 ChunYu Doctors App -- 6 Challenges of Big Data Analysis -- 7 Conclusion -- References -- Control and Optimization of Dynamical Systems -- Solutions to the Hamilton-Jacobi Equation for Bolza Problems with State Constraints and Discontinuous Time Dependent Data -- 1 Introduction -- 2 Notation and Standing Assumptions -- 3 Two Characterizations of the Value Function -- 4 Proofs of Theorems1 and 2 -- References -- Optimal Control Problem of a Metronomic Chemotherapy -- 1 Introduction -- 2 Main Definitions -- 3 Metronomic Chemotherapy Model as an Optimal Control Problem

4 Numerical Analysis of a Model with an L2-objective -- 5 Numerical Analysis of a Model with a Regularized L1-objective -- 6 Conclusions -- References -- Asymptotic Behaviour of Controllability Gramians and Convexity of Small-Time Reachable Sets -- 1 Introduction -- 2 Convexity of Small Time Reachable Sets -- 3 Estimates for Minimal Eigenvalues of Controllability Gramian -- References -- On the Regularity of Mayer-Type Affine Optimal Control Problems -- 1 Introduction -- 2 Main Result -- 3 Proof of Theorem 1 -- References -- Meshfree and Particle Methods

Mesh-Hardened Finite Element Analysis Through a Generalized Moving Least-Squares Approximation of Variational Problems -- 1 Introduction -- 2 Generalized Moving Least Squares (GMLS) Regression -- 3 GMLS Approximation of Variational Equations -- 3.1 Application to a Model PDE -- 4 Numerical Examples -- References -- An Adaptive LOOCV-Based Algorithm for Solving Elliptic PDEs via RBF Collocation -- 1 Introduction -- 2 Kansa's Collocation Method -- 3 Adaptive LOOCV-Based Scheme -- 3.1 Basics on LOOCV -- 3.2 Error Indicator and Refinement via LOOCV -- 3.3 Further Adaptive Refinement

4 Numerical Results -- References -- Adaptive Refinement Techniques for RBF-PU Collocation -- 1 Introduction -- 2 RBF-PU Method for 2D Poisson PDEs -- 2.1 The RBF-PU Method -- 2.2 Solution of Poisson Problems -- 3 Adaptive Refinement Techniques -- 3.1 Algorithm 1 -- 3.2 Algorithm 2 -- 4 Numerical Experiments -- References -- Fractional Diffusion Problems: Numerical Methods, Algorithms and Applications -- A Second Order Time Accurate Finite Volume Scheme for the Time-Fractional Diffusion Wave Equation on General Nonconforming Meshes -- 1 Problem to Be Solved and Aim of This Paper

2 Definition of a Consistent and Stable Discrete Gradient

This book constitutes revised papers from the 12th International Conference on Large-Scale Scientific Computing, LSSC 2019, held in Sozopol, Bulgaria, in June 2019. The 70 papers presented in this volume were carefully reviewed and selected from 81 submissions. The book also contains two invited talks. The papers were organized in topical sections named as follows: control and optimization of dynamical systems; meshfree and particle methods; fractional diffusion problems: numerical methods, algorithms and applications; pore scale flow and transport simulation; tensors based algorithms and structures in optimization and applications; HPC and big data: algorithms and applications; large-scale models: numerical methods, parallel computations and applications; monte carlo algorithms: innovative applications in conjunctions with other methods; application of metaheuristics to large-scale problems; large scale machine learning: multiscale algorithms and performance guarantees; and contributed papers. -- Provided by publisher.

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