Title Mesh methods for boundary-value problems and applications : 13th International Conference, Kazan, Russia, October 20-25 2020 / Ildar B. Badriev, Victor Banderov, Sergey A. Lapin, editors

Published Cham : Springer, 2022

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Description 1 online resource (607 p.) Series Lecture notes in computational science and engineering ; v.141 Lecture notes in computational science and engineering ; 141. Contents Intro -- Preface -- Contents -- Quantum Algorithms for String Processing -- 1 Introduction -- 2 Preliminaries -- 2.1 Rolling Hash for Strings Comparing -- 2.1.1 Rolling Hash -- 2.1.2 Fingerprinting Technique for Comparing Strings -- 2.1.3 Comparing Strings Using a Rolling Hash -- 2.2 Problems -- 2.3 Basics of Quantum Computation and Computational Model -- 3 Quantum Algorithm for String Matching Problem -- 3.1 Grover's Search Algorithm -- 3.2 Our Algorithm -- 3.2.1 Unique Target Case -- 3.2.2 Multi-Target Case -- 4 Quantum Algorithm for String Comparing Problem 4.1 The Algorithm Based on Grover's Search Algorithm -- 4.1.1 Dürr-Høyer Minimum Search Algorithm -- 4.1.2 The Main Part of the Algorithm -- 4.2 The Algorithm Based on Binary Search -- 5 Conclusion -- References -- Multicriteria Optimization Techniques in SVM Method for the Classification Problem -- 1 Introduction -- 2 Optimization Problem of SVM in a Multicriteria Formulation -- 3 Application of the SVM Method for Multiclass Classification Problem -- 4 Dataset UNSW-NB15 -- 5 Multiclass Classification Experiments -- 6 Conclusion -- References Developing Experimental-Numerical Methods for Constructing True Deformation Diagrams of Elastoplastic Materials -- 1 Introduction -- 2 The Experimental-Numerical Approach -- 3 Constructing Deformation Diagrams of Elastoplastic Rods Loaded in Tension -- 4 Modification of the Algorithm of Constructing Deformation Diagrams -- References -- Cubic Spline on a Bakhvalov Mesh in the Presence of a BoundaryLayer -- 1 Introduction -- 2 Formulation of the Problem and Main Results -- 3 Auxiliary Results -- 4 Proof of Theorems -- 5 Results of Numerical Experiments -- 6 Conclusion -- References On Exact Penalty Operators and Penalization Methods for Elliptic Unilateral Problems with Piecewise Smooth Obstacles -- 1 Introduction -- 2 Formulation of the Problem -- 2.1 Functional Spaces -- 2.2 Original Obstacle Problem -- 2.3 Restrictions on the Operator A -- 2.4 Restrictions on the Obstacle -- 3 Equivalent Inequality Without Constraints -- 3.1 Exact Penalty Operators -- 4 The Penalty Problem -- 4.1 Examples of Penalty Functions -- References -- Accurate Simulation of Guided Waves in Optical Fibers Using Finite Element Method Combined with Exact Non-reflecting Boundary Condition 1 Introduction -- 2 Theoretical Background -- 3 Numerical Results -- 3.1 Circular Waveguide -- 3.2 Square Waveguide -- 3.3 Rectangular Waveguide -- 3.4 Three Circle Shaped Waveguide -- References -- Simulation of Dynamic Response at Resonant Vibrations of a Plate with a Viscoelastic Damping Coating -- 1 Introduction -- 2 Rectangular Finite Element with Viscoelastic Damping Coating -- 3 Formation of Solving Equations System -- 4 Determination of Stress Amplitudes in Finite Elements Under Resonant Vibrations of a Plate -- 5 Numerical Experiments -- References Summary This book gathers papers presented at the 13th International Conference on Mesh Methods for Boundary-Value Problems and Applications, which was held in Kazan, Russia, in October 2020. The papers address the following topics: the theory of mesh methods for boundary-value problems in mathematical physics; non-linear mathematical models in mechanics and physics; algorithms for solving variational inequalities; computing science; and educational systems. Given its scope, the book is chiefly intended for students in the fields of mathematical modeling science and engineering. However, it will also benefit scientists and graduate students interested in these fields Notes The Limit Theorem on the Trajectories Distribution Includes index Online resource; title from PDF title page (SpringerLink, viewed September 26, 2022) Subject Boundary value problems -- Congresses Meshfree methods (Numerical analysis) -- Congresses Problemas con valor límite -- Congresos Boundary value problems Meshfree methods (Numerical analysis) Problemes de contorn. Anàlisi numèrica. Genre/Form Electronic books proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Congressos. Llibres electrònics. Form Electronic book Author Badriev, Ildar B Banderov, Victor Lapin, Sergey A ISBN 9783030878092 3030878090 9788303087805 8303087800

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