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1. Equations of Motion for Incompressible Viscous Fluids : With Mixed Boundary Conditions. 1st ed. 2021
by Tujin Kim, Daomin Cao
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Advances in Mathematical Fluid Mechanics ;
オンライン: https://doi.org/10.1007/978-3-030-78659-5
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Miscellanea of Analysis
Fluid Equations
The Steady Navier-Stokes System
The Non-steady Navier-Stokes System
The Steady Navier-Stokes System with Friction Boundary Conditions
The Non-steady Navier-Stokes System with Friction Boundary Conditions
The Steady Boussinesq System
The Non-steady Boussinesq System
The Steady Equations for Heat-conducting Fluids
The Non-steady Equations for Heat-conducting Fluids
Miscellanea of Analysis
Fluid Equations
The Steady Navier-Stokes System
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2. Numerical Geometry, Grid Generation and Scientific Computing : Proceedings of the 10th International Conference, NUMGRID 2020 / Delaunay 130, Celebrating the 130th Anniversary of Boris Delaunay, Moscow, Russia, November 2020. 1st ed. 2021
edited by Vladimir A. Garanzha, Lennard Kamenski, Hang Si
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Lecture Notes in Computational Science and Engineering ; 143
オンライン: https://doi.org/10.1007/978-3-030-76798-3
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Part I Delaunay-Voronoi Theory and Applications
Local Groups in Delone Sets
Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups Γ k/n
A Proof of the Invariant-Based Formula for the Linking Number and its Asymptotic Behaviour
The Singularity Set of Optimal Transportation Maps
Polygonal and Polyhedral Delaunay Meshing
On Decomposition of Embedded Prismatoids in R3 without Additional Points
Out-of-core Constrained Delaunay Tetrahedralizations for Large Scenes
Part II Adaptive Meshing
Size Gradation Control for Anisotropic Hybrid Meshes
Adjoint Computation on Anisotropic Meshes in High-fidelity RANS Simulations
Moving Deforming Mesh Generation Based on the Quasi-isometric Functional
Adaptive Grids for Non-monotone Waves and Instabilities in a Non-equilibrium PDE Model
RBF-VerBSS Hybrid Method for Mesh Deformation
A Uniform Convergence Analysis for a Bakhvalov-type Mesh with an Explicitly Defined Transition Point
On a Comprehensive Grid for Solving Problems Having Exponential or Power–of–First–Type Layers
Preserved Structure Constants for Red Refinements of Product Elements
Part III Meshing and CAD
Global Parametrization Based on Ginzburg-Landau Functional
Parametrization of Plane Irregular Regions: A Semi-automatic Approach I
A Hybrid Approach to Fast Indirect Quadrilateral Mesh Generation
Hexahedral Mesh Generation Using Voxel Field Recovery
Generation of Boundary Layer Meshes by the Enhanced Jump-and-Walk Method with a Fast Collision Detecting Algorithm
Part IV Numerical Geometry and Applications
An Improved Algorithm for Scattered Data Interpolation using Quartic Triangular Bézier Surfaces
On Integral-based (Transfinite) Laplace Coordinates
Part V Numerical Methods
Fully-implicit Collocated Finite-Volume Method for the Unsteady Incompressible Navier–Stokes Problem
Efficient Steady Flow Computations with Exponential Multigrid Methods
Exponential Time Integrators for Unsteady Advection–diffusion Problems on Refined Meshes
Part I Delaunay-Voronoi Theory and Applications
Local Groups in Delone Sets
Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups Γ k/n
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3. Optimization on Solution Sets of Common Fixed Point Problems. 1st ed. 2021
by Alexander J. Zaslavski
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Optimization and Its Applications ; 178
オンライン: https://doi.org/10.1007/978-3-030-78849-0
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Preface
Introduction
Fixed Point Subgradient Algorithm
Proximal Point Subgradient Algorithm
Cimmino Subgradient Projection Algorithm
Iterative Subgradient Projection Algorithm
Dynamic Strong-Averaging Subgradient Algorithm
Fixed Point Gradient Projection Algorithm
Cimmino Gradient Projection Algorithm
A Class of Nonsmooth Convex Optimization Problems
Zero-Sum Games with Two Players
References
Index
Preface
Introduction
Fixed Point Subgradient Algorithm
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4. Optimal Control of Partial Differential Equations : Analysis, Approximation, and Applications. 1st ed. 2021
by Andrea Manzoni, Alfio Quarteroni, Sandro Salsa
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Applied Mathematical Sciences ; 207
オンライン: https://doi.org/10.1007/978-3-030-77226-0
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1 Introduction: Representative Examples, Mathematical Structure
Part I A Preview on Optimization and Control in Finite Dimensions
2 Prelude on Optimization: Finite Dimension Spaces
3 Algorithms for Numerical Optimization
4 Prelude on Control: The Case of Algebraic and ODE Systems
Part II Linear-Quadratic Optimal Control Problems
5 Quadratic control problems governed by linear elliptic PDEs
6 Numerical Approximation of Linear-Quadratic OCPs
7 Quadratic Control Problems Governed by Linear Evolution PDEs
8 Numerical Approximation of Quadratic OCPs Governed by Linear Evolution PDEs
Part III More general PDE-constrained optimization problems
9 A Mathematical Framework for Nonlinear OCPs
10 Advanced Selected Applications
11 Shape Optimization Problems
Appendix A Toolbox of Functional Analysis
Appendix B Toolbox of Numerical Analysis
1 Introduction: Representative Examples, Mathematical Structure
Part I A Preview on Optimization and Control in Finite Dimensions
2 Prelude on Optimization: Finite Dimension Spaces
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5. Variational Views in Mechanics. 1st ed. 2021
edited by Paolo Maria Mariano
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Advances in Continuum Mechanics ; 46
オンライン: https://doi.org/10.1007/978-3-030-90051-9
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Numerical study of microstructures in multiwell problems in linear elasticity
Surface shear waves in a functionally graded half-space
Modeling of microstructures in a Cosserat continuum using relaxed energies - analytical and numerical aspects
The polar-isogeometric method for the simultaneous optimization of shape and material properties of anisotropic shell structures
Gradient polyconvexity and modeling of shape memory alloys
Placement of an obstacle for optimizing the fundamental eigenvalue of divergence form elliptic operators
Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications
Optimal feedback for structures controlled by hydraulic semi-active dampers
Multi-displacement requirement in a topology optimization algorithm based on non-uniform rational basis spline hyper-surfaces
Anti-plane shear in hyperelasticity
Identification of diffusion properties of polymer-matrix composite materials with complex texture
Numerical study of microstructures in multiwell problems in linear elasticity
Surface shear waves in a functionally graded half-space
Modeling of microstructures in a Cosserat continuum using relaxed energies - analytical and numerical aspects
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6. Multi-Valued Variational Inequalities and Inclusions. 1st ed. 2021
by Siegfried Carl, Vy Khoi Le
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-65165-7
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7. Optimal Control of Dynamic Systems Driven by Vector Measures : Theory and Applications. 1st ed. 2021
by N. U. Ahmed, Shian Wang
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-82139-5
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1 Mathematical Preliminaries
2 Linear Systems
3 Nonlinear Systems
4 Optimal Control: Existence Theory
Optimal Control: Necessary Conditions of Optimality
6 Stochastic Systems Controlled by Vector Measures
7 Applications to Physical Examples
Bibliography
Index
1 Mathematical Preliminaries
2 Linear Systems
3 Nonlinear Systems
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8. Controller Tuning Optimization Methods for Multi-Constraints and Nonlinear Systems : A Metaheuristic Approach. 1st ed. 2021
by Maude Josée Blondin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: SpringerBriefs in Optimization ;
オンライン: https://doi.org/10.1007/978-3-030-64541-0
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1 Optimization algorithms in control systems
2 Controller tuning by metaheuristics optimization
3 Case studies
4 Future direction and research trends
1 Optimization algorithms in control systems
2 Controller tuning by metaheuristics optimization
3 Case studies
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9. Calculus of One Variable. 2nd ed. 2021
by M. Thamban Nair
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-88637-0
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Sequence and Series of Real Numbers
Limit, Continuity and Differentiability of Functions
Definite Integral
Improper Integrals
Sequence and Series of Functions
Fourier Series
References
Index
Sequence and Series of Real Numbers
Limit, Continuity and Differentiability of Functions
Definite Integral
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10. Applied and Computational Optimal Control : A Control Parametrization Approach. 1st ed. 2021
by Kok Lay Teo, Bin Li, Changjun Yu, Volker Rehbock
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Optimization and Its Applications ; 171
オンライン: https://doi.org/10.1007/978-3-030-69913-0
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1. Introduction
2. Unconstrained Optimization Techniques
3. Constrained Mathematical Programming
4. Optimization Problems Subject to Continuous Inequality Constraints
5. Discrete Time Optimal Control Problems
6. Elements of Optimal Control Theory
7. Gradient Formulae for Optimal Parameter Selection Problems
8. Control Parameterization for Canonical Optimal Control Problems
9. Optimal Control Problems with State and Control Constraints.-10. Time-Lag Optimal Control Problems
11. Feedback Control
12. On Some Special Classes of Stochastic Optimal Control Problems
A.1. Elements of Mathematical Analysis
A.2 Global Optimization via Filled Function Approach. A.3. Elements of Probability Theory - References
1. Introduction
2. Unconstrained Optimization Techniques
3. Constrained Mathematical Programming