Moving Boundary Pde Analysis
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Moving Boundary Pde Analysis
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Author : William Schiesser
language : en
Publisher: CRC Press
Release Date : 2019-05-29
Moving Boundary Pde Analysis written by William Schiesser and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-29 with Mathematics categories.
Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemical concentrations and cell densities, as a function of space and time (spatiotemporal distributions). For a complete PDE model, initial conditions (ICs) specifying how the problem system starts and boundary conditions (BCs) specifying how the system is defined at its spatial boundaries, must also be included for a well-posed PDE model. In this book, PDE models are considered for which the physical boundaries move with time. For example, as a tumor grows, its boundary moves outward. In atherosclerosis, the plaque formation on the arterial wall moves inward, thereby restricting blood flow with serious consequences such as stroke and myocardial infarction (heart attack). These two examples are considered as applications of the reported moving boundary PDE (MBPDE) numerical method (algorithm). The method is programmed in a set of documented routines coded in R, a quality, open-source scientific programming system. The routines are provided as a download so that the reader/analyst/researcher can use MFPDE models without having to first study numerical methods and computer programming.
Moving Boundary Pde Analysis
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Author : William Schiesser
language : en
Publisher: CRC Press
Release Date : 2019
Moving Boundary Pde Analysis written by William Schiesser and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemical concentrations and cell densities, as a function of space and time (spatiotemporal distributions). For a complete PDE model, initial conditions (ICs) specifying how the problem system starts and boundary conditions (BCs) specifying how the system is defined at its spatial boundaries, must also be included for a well-posed PDE model. In this book, PDE models are considered for which the physical boundaries move with time. For example, as a tumor grows, its boundary moves outward. In atherosclerosis, the plaque formation on the arterial wall moves inward, thereby restricting blood flow with serious consequences such as stroke and myocardial infarction (heart attack). These two examples are considered as applications of the reported moving boundary PDE (MBPDE) numerical method (algorithm). The method is programmed in a set of documented routines coded in R, a quality, open-source scientific programming system. The routines are provided as a download so that the teacher/analyst/researcher can use MFPDE models without having to rst study numerical methods and computer programming P>These two examples are considered as applications of the reported moving boundary PDE (MBPDE) numerical method (algorithm). The method is programmed in a set of documented routines coded in R, a quality, open-source scientific programming system. The routines are provided as a download so that the teacher/analyst/researcher can use MFPDE models without having to rst study numerical methods and computer programming
Free And Moving Boundaries
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Author : Roland Glowinski
language : en
Publisher: Chapman & Hall/CRC
Release Date : 2018-03-16
Free And Moving Boundaries written by Roland Glowinski and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-16 with categories.
Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Controldiscusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book emphasizes numerical and theoretical control of moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, family of moving geometries, and boundary control. Using numerical analysis, the contributors examine the problems of optimal control theory applied to PDEs arising from continuum mechanics. The book presents several applications to electromagnetic devices, flow, control, computing, images analysis, topological changes, and free boundaries. It specifically focuses on the topics of boundary variation and control, dynamical control of geometry, optimization, free boundary problems, stabilization of structures, controlling fluid-structure devices, electromagnetism 3D, and inverse problems arising in areas such as biomathematics. Free and Moving Boundaries: Analysis, Simulation and Controlexplains why the boundary control of physical systems can be viewed as a moving boundary control, empowering the future research of select algebraic areas.
Control And Boundary Analysis
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Author : John Cagnol
language : en
Publisher: CRC Press
Release Date : 2005-03-04
Control And Boundary Analysis written by John Cagnol and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-04 with Mathematics categories.
This volume comprises selected papers from the 21st Conference on System Modeling and Optimization in Sophia Antipolis, France. It covers over three decades of studies involving partial differential systems and equations. Topics include: the modeling of continuous mechanics involving fixed boundary, control theory, shape optimization and moving boundaries, and topological shape optimization. This edition discusses all developments that lead to current moving boundary analysis and the stochastic approach.
Materials Phase Change Pde Control Estimation
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Author : Shumon Koga
language : en
Publisher: Springer Nature
Release Date : 2020-11-01
Materials Phase Change Pde Control Estimation written by Shumon Koga and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-01 with Science categories.
This monograph introduces breakthrough control algorithms for partial differential equation models with moving boundaries, the study of which is known as the Stefan problem. The algorithms can be used to improve the performance of various processes with phase changes, such as additive manufacturing. Using the authors' innovative design solutions, readers will also be equipped to apply estimation algorithms for real-world phase change dynamics, from polar ice to lithium-ion batteries. A historical treatment of the Stefan problem opens the book, situating readers in the larger context of the area. Following this, the chapters are organized into two parts. The first presents the design method and analysis of the boundary control and estimation algorithms. Part two then explores a number of applications, such as 3D printing via screw extrusion and laser sintering, and also discusses the experimental verifications conducted. A number of open problems and provided as well, offering readers multiple paths to explore in future research. Materials Phase Change PDE Control & Estimation is ideal for researchers and graduate students working on control and dynamical systems, and particularly those studying partial differential equations and moving boundaries. It will also appeal to industrial engineers and graduate students in engineering who are interested in this area.
Boundary Control And Boundary Variations
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Author : J. P. Zolésio
language : en
Publisher: Springer
Release Date : 1988
Boundary Control And Boundary Variations written by J. P. Zolésio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
This volume comprises the proceedings of the Working Conference "Boundary variations and boundary control" held in Nice (France), June 10-13, 1986. The aim of this Conference was to stimulate exchange of ideas between the group working on shape optimization (including free boundary problems) and the group working on boundary control of hyperbolic systems (including stabilization). An important remark is that if one considers a dynamical system governed by linear elasticity the choice of Lagrangian coordinates leads to discuss boundary conditions, or boundary control (for example to stabilize), while the choice of Eulerian coordinates lead to a moving boundary and moving domain . This remark challenges us to consider the domain (or its boundary) as a control.
Free Boundary Problems
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Author : A. Bossavit
language : en
Publisher:
Release Date : 1985
Free Boundary Problems written by A. Bossavit and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Boundary value problems categories.
Iutam Symposium On Recent Advances In Moving Boundary Problems In Mechanics
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Author : Stefanie Gutschmidt
language : en
Publisher: Springer
Release Date : 2019-03-28
Iutam Symposium On Recent Advances In Moving Boundary Problems In Mechanics written by Stefanie Gutschmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-28 with Technology & Engineering categories.
Many problems in mechanics involve deformable domains with moving boundaries, including fluid-structure interaction, multiphase flows, flows over soft tissues and textiles, or flows involving accretion/erosion to name but a few. The presence of a moving boundary presents considerable challenges when it comes to modelling and understanding the underlying system dynamics. This proceedings volume collects contributions made at the IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics held in Christchurch, New Zealand in February 2018.
Spatiotemporal Modeling Of Cancer Immunotherapy
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Author : William E. Schiesser
language : en
Publisher: Springer
Release Date : 2019-05-30
Spatiotemporal Modeling Of Cancer Immunotherapy written by William E. Schiesser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-30 with Medical categories.
The focus of this book is a detailed discussion of a dual cancer vaccine (CV)-immune checkpoint inhibitor (ICI) mathematical model formulated as a system of partial differential equations (PDEs) defining the spatiotemporal distribution of cells and biochemicals during tumor growth. A computer implementation of the model is discussed in detail for the quantitative evaluation of CV-ICI therapy. The coding (programming) consists of a series of routines in R, a quality, open-source scientific computing system that is readily available from the internet. The routines are based on the method of lines (MOL), a general PDE algorithm that can be executed on modest computers within the basic R system. The reader can download and use the routines to confirm the model solutions reported in the book, then experiment with the model by varying the parameters and modifying/extending the equations, and even studying alternative models with the PDE methodology demonstrated by the CV-ICI model. Spatiotemporal Modeling of Cancer Immunotherapy: Partial Differential Equation Analysis in R facilitates the use of the model, and more generally, computer- based analysis of cancer immunotherapy mathematical models, as a step toward the development and quantitative evaluation of the immunotherapy approach to the treatment of cancer. To download the R routines, please visit: http://www.lehigh.edu/~wes1/ci_download
Mini Conference On Free And Moving Boundary And Diffusion Problems Canberra June 14 16 1990
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Author : R. S. Anderssen
language : en
Publisher:
Release Date : 1992
Mini Conference On Free And Moving Boundary And Diffusion Problems Canberra June 14 16 1990 written by R. S. Anderssen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Boundary value problems categories.
