Recent Development In Theories Numerics
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Recent Development In Theories Numerics
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Author : Yiu-Chung Hon
language : en
Publisher: World Scientific
Release Date : 2003
Recent Development In Theories Numerics written by Yiu-Chung Hon and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
Annotation. Proceedings from the First International Conference on Inverse Problems, Recent Theoretical Development and Numerical Approaches, held at the City University of Hong Kong from January 9-12, 2002.
An Introduction To Recent Developments In Theory And Numerics For Conservation Laws
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Author : Dietmar Kröner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Recent Developments In Theory And Numerics For Conservation Laws written by Dietmar Kröner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The book concerns theoretical and numerical aspects of systems of conservation laws, which can be considered as a mathematical model for the flows of inviscid compressible fluids. Five leading specialists in this area give an overview of the recent results, which include: kinetic methods, non-classical shock waves, viscosity and relaxation methods, a-posteriori error estimates, numerical schemes of higher order on unstructured grids in 3-D, preconditioning and symmetrization of the Euler and Navier-Stokes equations. This book will prove to be very useful for scientists working in mathematics, computational fluid mechanics, aerodynamics and astrophysics, as well as for graduate students, who want to learn about new developments in this area.
Recent Developments In Fractional Calculus Theory Applications And Numerical Simulations
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Author : Lakhveer Kaur
language : en
Publisher: Springer Nature
Release Date : 2025-05-30
Recent Developments In Fractional Calculus Theory Applications And Numerical Simulations written by Lakhveer Kaur and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-30 with Technology & Engineering categories.
This book discusses recent developments in fractional calculus and fractional differential equations in a very elaborative manner and is of interest to research scholars, academicians and scientists who want to enhance the knowledge in the context of new insights and mathematical ideas in fractional calculus and its emerging applications in various fields. It focuses on strengthening the existing results along with identifying the practical challenges encountered. The purpose of this collection is to provide comprehension of articles that reflect recent mathematical results as well as some results in applied sciences untouched by the tools and techniques of fractional calculus along with their modelling and computation having applications in diverse arenas.
Recent Developments In The Numerics Of Nonlinear Hyperbolic Conservation Laws
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Author : Rainer Ansorge
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-14
Recent Developments In The Numerics Of Nonlinear Hyperbolic Conservation Laws written by Rainer Ansorge and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Technology & Engineering categories.
In January 2012 an Oberwolfach workshop took place on the topic of recent developments in the numerics of partial differential equations. Focus was laid on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.
Hyperbolic Problems Theory Numerics Applications
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Author : Heinrich Freistühler
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Hyperbolic Problems Theory Numerics Applications written by Heinrich Freistühler and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.
Advances In Numerical Analysis Emphasizing Interval Data
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Author : Tofigh Allahviranloo
language : en
Publisher: CRC Press
Release Date : 2022-02-18
Advances In Numerical Analysis Emphasizing Interval Data written by Tofigh Allahviranloo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-18 with Technology & Engineering categories.
Numerical analysis forms a cornerstone of numeric computing and optimization, in particular recently, interval numerical computations play an important role in these topics. The interest of researchers in computations involving uncertain data, namely interval data opens new avenues in coping with real-world problems and deliver innovative and efficient solutions. This book provides the basic theoretical foundations of numerical methods, discusses key technique classes, explains improvements and improvements, and provides insights into recent developments and challenges. The theoretical parts of numerical methods, including the concept of interval approximation theory, are introduced and explained in detail. In general, the key features of the book include an up-to-date and focused treatise on error analysis in calculations, in particular the comprehensive and systematic treatment of error propagation mechanisms, considerations on the quality of data involved in numerical calculations, and a thorough discussion of interval approximation theory. Moreover, this book focuses on approximation theory and its development from the perspective of linear algebra, and new and regular representations of numerical integration and their solutions are enhanced by error analysis as well. The book is unique in the sense that its content and organization will cater to several audiences, in particular graduate students, researchers, and practitioners.
Recent Developments In Fixed Point Theory
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Author : Mudasir Younis
language : en
Publisher: Springer Nature
Release Date : 2024-07-03
Recent Developments In Fixed Point Theory written by Mudasir Younis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-03 with Mathematics categories.
This contributed book has a comprehensive collection of 17 carefully curated chapters that delve into the latest advancements in fixed-point theory and its diverse applications. It bridges the gap between theory and practicality, providing readers with a deep understanding of fundamental theorems related to the existence and uniqueness of maps. The book covers a wide array of applications, each showcasing the relevance of fixed-point theory in various domains. Readers will explore applications dealing with topological properties, the resolution of integral equations across multiple classes, nonlinear differential equations, fractional differential equations, dynamic programming problems, and engineering science-related challenges. This diverse range of topics ensures that the book caters to both theoretical researchers and practitioners seeking real-world solutions. The primary feature of the book is the pictorial depictions of examples, making complex concepts more accessible and understandable. These visual representations enhance the learning experience, enabling readers to grasp the enunciated outcomes effortlessly. The book stands as an essential reference for scholars, researchers, and professionals interested in the theoretical foundations and practical implications of fixed-point theory. Its blend of theoretical insights and real-world applications makes it an indispensable addition to the field of mathematics and its interdisciplinary applications.
Physical And Numerical Models In Knot Theory
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Author : Jorge Alberto Calvo
language : en
Publisher: World Scientific
Release Date : 2005
Physical And Numerical Models In Knot Theory written by Jorge Alberto Calvo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year.This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.
Developments In Numerical Ecology
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Author : Pierre Legendre
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Developments In Numerical Ecology written by Pierre Legendre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
From earlier ecological studies it has become apparent that simple univariate or bivariate statistics are often inappropriate, and that multivariate statistical analyses must be applied. Despite several difficulties arising from the application of multivariate methods, community ecology has acquired a mathematical framework, with three consequences: it can develop as an exact science; it can be applied operationally as a computer-assisted science to the solution of environmental problems; and it can exchange information with other disciplines using the language of mathematics. This book comprises the invited lectures, as well as working group reports, on the NATO workshop held in Roscoff (France) to improve the applicability of this new method numerical ecology to specific ecological problems.
Numerical Differential Equations Theory And Technique Ode Methods Finite Differences Finite Elements And Collocation
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Author : John Loustau
language : en
Publisher: World Scientific
Release Date : 2016-03-07
Numerical Differential Equations Theory And Technique Ode Methods Finite Differences Finite Elements And Collocation written by John Loustau and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-07 with Mathematics categories.
This text presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting theory.The applied techniques include those that arise in the present literature. The supporting mathematical theory includes the general convergence theory. This material should be readily accessible to students with basic knowledge of mathematical analysis, Lebesgue measure and the basics of Hilbert spaces and Banach spaces. Nevertheless, we have made the book free standing in most respects. Most importantly, the terminology is introduced, explained and developed as needed.The examples presented are taken from multiple vital application areas including finance, aerospace, mathematical biology and fluid mechanics. The text may be used as the basis for several distinct lecture courses or as a reference. For instance, this text will support a general applications course or an FEM course with theory and applications. The presentation of material is empirically-based as more and more is demanded of the reader as we progress through the material. By the end of the text, the level of detail is reminiscent of journal articles. Indeed, it is our intention that this material be used to launch a research career in numerical PDE.