Large-Scale Scientific Computing

1. Front Matter

   Pages i-xv

   PDF

2. Invited Papers

   1. Front Matter

      Pages 1-1

      PDF

   2. First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations

      • James H. Adler, Scott MacLachlan, Niall Madden

      Pages 3-14

   3. Big Data Analysis: Theory and Applications

      • Yong Shi, Pei Quan

      Pages 15-27

3. Control and Optimization of Dynamical Systems

   1. Front Matter

      Pages 29-29

      PDF

   2. Solutions to the Hamilton-Jacobi Equation for Bolza Problems with State Constraints and Discontinuous Time Dependent Data

      • Julien Bernis, Piernicola Bettiol

      Pages 31-39

   3. Optimal Control Problem of a Metronomic Chemotherapy

      • Dieter Grass, Valeriya Lykina

      Pages 40-47

   4. Asymptotic Behaviour of Controllability Gramians and Convexity of Small-Time Reachable Sets

      • Mikhail Gusev

      Pages 48-55

   5. On the Regularity of Mayer-Type Affine Optimal Control Problems

      • Nikolai P. Osmolovskii, Vladimir M. Veliov

      Pages 56-63

4. Meshfree and Particle Methods

   1. Front Matter

      Pages 65-65

      PDF

   2. Mesh-Hardened Finite Element Analysis Through a Generalized Moving Least-Squares Approximation of Variational Problems

      • P. Bochev, N. Trask, P. Kuberry, M. Perego

      Pages 67-75

   3. An Adaptive LOOCV-Based Algorithm for Solving Elliptic PDEs via RBF Collocation

      • R. Cavoretto, A. De Rossi

      Pages 76-83

   4. Adaptive Refinement Techniques for RBF-PU Collocation

      • R. Cavoretto, A. De Rossi

      Pages 84-91

5. Fractional Diffusion Problems: Numerical Methods, Algorithms and Applications

   1. Front Matter

      Pages 93-93

      PDF

   2. A Second Order Time Accurate Finite Volume Scheme for the Time-Fractional Diffusion Wave Equation on General Nonconforming Meshes

      • Fayssal Benkhaldoun, Abdallah Bradji

      Pages 95-104

   3. Identification of a Time-Dependent Right-Hand Side of an Unsteady Equation with a Fractional Power of an Elliptic Operator

      • Petr N. Vabishchevich

      Pages 105-112

6. Pore Scale Flow and Transport Simulation

   1. Front Matter

      Pages 113-113

      PDF

   2. Computational Identification of Adsorption and Desorption Parameters for Pore Scale Transport in Random Porous Media

      • Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich

      Pages 115-122

   3. Weighted Time-Semidiscretization Quasilinearization Method for Solving Rihards’ Equation

      • Miglena N. Koleva, Lubin G. Vulkov

      Pages 123-130

7. Tensors Based Algorithms and Structures in Optimization and Applications

   1. Front Matter

      Pages 131-131

      PDF

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; andcontributed papers. 

• artificial intelligence
• communication systems
• computer hardware
• computer networks
• correlation analysis
• differential equations
• distributed computer systems
• distributed systems
• engineering
• internet
• mathematics
• matrix algebra
• network protocols
• numerical methods
• optimization
• parallel processing systems
• partial differential equations
• signal processing
• telecommunication systems
• wireless telecommunication systems

• Bulgarian Academy of Sciences, Sofia, Bulgaria

  Ivan Lirkov, Svetozar Margenov

Policies and ethics