New Numerical And Analytical Methods For Nonlinear Partial Differential Equations With Applications In Quantum Physics
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New Numerical And Analytical Methods For Nonlinear Partial Differential Equations With Applications In Quantum Physics
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Author : Mustafa Inc
language : en
Publisher: Frontiers Media SA
Release Date : 2023-11-20
New Numerical And Analytical Methods For Nonlinear Partial Differential Equations With Applications In Quantum Physics written by Mustafa Inc and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-20 with Science categories.
Various numerical and analytical methods have been used to investigate the models of real-world phenomena. Namely, real-world models from quantum physics have been investigated by many researchers. This Research Topic aims to promote and exchange new and important theoretical and numerical results to study the dynamics of complex physical systems. In particular, the Research Topic will focus on numerical and analytical methods for nonlinear partial differential equations which have applications for quantum physical systems. Authors are encouraged to introduce their latest original research articles. The Research Topic will cover, but is not limited to, the following themes: - Mathematical methods in physics - Representations of Lie groups in physics - Quantum fields - Advanced numerical methods and techniques for nonlinear partial differential equations - Schrödinger classical and fractional operators - Conservation laws
Numerical And Analytical Methods In Electromagnetics
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Author : Hristos T. Anastassiu
language : en
Publisher: MDPI
Release Date : 2021-03-19
Numerical And Analytical Methods In Electromagnetics written by Hristos T. Anastassiu and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-19 with Technology & Engineering categories.
Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc.). Originally, rigorous analytical techniques were the only machinery available to produce any useful results. In the 1960s and 1970s, emphasis was placed on asymptotic techniques, which produced approximations of the fields for very high frequencies when closed-form solutions were not feasible. Later, when computers demonstrated explosive progress, numerical techniques were utilized to develop approximate results of controllable accuracy for arbitrary geometries. In this Special Issue, the most recent advances in the aforementioned approaches are presented to illustrate the state-of-the-art mathematical techniques in electromagnetics.
Basic Partial Differential Equations
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Author : David. Bleecker
language : en
Publisher: CRC Press
Release Date : 2018-01-18
Basic Partial Differential Equations written by David. Bleecker and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-18 with Mathematics categories.
Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Topics not usually found in books at this level include but examined in this text: the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks convergence of numerical solutions of PDEs and implementation on a computer convergence of Laplace series on spheres quantum mechanics of the hydrogen atom solving PDEs on manifolds The text requires some knowledge of calculus but none on differential equations or linear algebra.
Wavelet Methods For Solving Partial Differential Equations And Fractional Differential Equations
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Author : Santanu Saha Ray
language : en
Publisher: CRC Press
Release Date : 2018-01-12
Wavelet Methods For Solving Partial Differential Equations And Fractional Differential Equations written by Santanu Saha Ray and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-12 with Mathematics categories.
The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.
Technical Abstract Bulletin
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Author : Defense Documentation Center (U.S.)
language : en
Publisher:
Release Date : 1964
Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Military art and science categories.
Calculus Of Variations And Nonlinear Partial Differential Equations
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Author : Luigi Ambrosio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-02
Calculus Of Variations And Nonlinear Partial Differential Equations written by Luigi Ambrosio 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 2008-01-02 with Mathematics categories.
With a historical overview by Elvira Mascolo
Introductory Guide To Partial Differential Equations
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Author : Sameer Kulkarni
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Introductory Guide To Partial Differential Equations written by Sameer Kulkarni and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Introductory Guide to Partial Differential Equations" is an accessible and comprehensive introduction to Partial Differential Equations (PDEs) for undergraduate students. We provide a solid foundation in the theory and applications of PDEs, catering to students in mathematics, engineering, physics, and related fields. We present fundamental concepts of PDEs in a clear and engaging manner, emphasizing both theoretical understanding and practical problem-solving skills. Starting with basic concepts such as classification of PDEs, boundary and initial conditions, and solution techniques, we gradually progress to advanced topics including Fourier series, separation of variables, and the method of characteristics. Real-world applications of PDEs are woven throughout the book, demonstrating the relevance of this mathematical theory in fields such as heat conduction, fluid dynamics, quantum mechanics, and finance. Numerous examples, exercises, and applications are included to reinforce learning and encourage active engagement with the material. Whether you're preparing for further study in mathematics or seeking to apply PDEs in your chosen field, this book equips you with the knowledge and skills necessary to tackle a wide range of problems involving partial differential equations. We hope this text will inspire curiosity and confidence in approaching the rich and diverse world of PDEs.
Fractional Calculus And Its Applications In Physics
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Author : Dumitru Baleanu
language : en
Publisher: Frontiers Media SA
Release Date : 2019-11-15
Fractional Calculus And Its Applications In Physics written by Dumitru Baleanu and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-15 with categories.
Real Analytic And Algebraic Singularities
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Author : Toshisumi Fukui
language : en
Publisher: CRC Press
Release Date : 1997-12-12
Real Analytic And Algebraic Singularities written by Toshisumi Fukui and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-12 with Mathematics categories.
This book contains a collection of papers covering recent progress in a number of areas of singularity theory. Topics include blow analyticity, recent progress in the research on equivalence relations of maps and functions, sufficiency of jets, and the transversality theorem. . Geometric and analytic studies of partial differential equations have been developed independently of one another, but the shock wave solutions appearing in natural phenomena are not well understood. Singularity theory may unify these studies and a survey based on this viewpoint is presented in which a new notion of weak solution is introduced. There are also reports on the recent progress in Zariski's conjecture on multiplicities of hypersurfaces, transcendency of analytic sets and on the topology of weighted homogeneous polynomials. This book will be of particular interest to specialists in singularities, partial differential equations, algebraic geometry and control theory.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.