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Author: Philip Po-fang Hsieh Publisher: World Scientific ISBN: 9814552496 Category : Languages : en Pages : 426
Book Description
In this volume which honors Professors W A Harris, Jr, M Iwano, Y Sibuya, active researchers from around the world report on their latest research results. Topics include Analytic Theory of Linear and Nonlinear Differential Equations, Asymptotic Expansions, Turning Points Theory, Special Functions, Delay Equations, Boundary Value Problems, Sturm-Liouville Eigenvalues, Periodic Solutions, Numerical Solutions and other areas of Applied Mathematics.
Author: Ravi P Agarwal Publisher: World Scientific ISBN: 9814505625 Category : Mathematics Languages : en Pages : 601
Book Description
This series aims at reporting new developments of a high mathematical standard and of current interest. Each volume in the series shall be devoted to mathematical analysis that has been applied, or potentially applicable to the solutions of scientific, engineering, and social problems. The first volume of WSSIAA contains 42 research articles on differential equations by leading mathematicians from all over the world. This volume has been dedicated to V Lakshmikantham on his 65th birthday for his significant contributions in the field of differential equations.
Author: Bruno Carpentieri Publisher: BoD – Books on Demand ISBN: 1839686561 Category : Mathematics Languages : en Pages : 374
Book Description
Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.
Author: V. Lakshmikantham Publisher: CRC Press ISBN: 9780824771300 Category : Mathematics Languages : en Pages : 606
Book Description
Presenting the work of 91 distinguished mathematicians from 18 nations, this provocative volume provides new perspectives on the theory and practice of nonlinear differential equations. This practical resource stimulates interdisciplinary cooperation between mathematicians and applied scientists ... offers details of recent trends and new research results as well as broad surveys of important topics for a unified overview of the field and combines coverage of such diverse applications as biomathematics, heat transfer, frequency domain analysis of differential equations, and reaction-diffusion equations in a single source: With its wide ranging reports, Trends in Theory and Practice of Nonlinear Differential Equations serves as an advanced reference for applied mathematicians, electrical and mechanical engineers, researchers interested in such subjects as differential equations and dynamical systems, biomathematicfans, and physicists. Furthermore, the book encourages continuing research on theoretical and applied aspects of nonlinear differential equations.
Author: Hemen Dutta Publisher: Springer Nature ISBN: 3030152421 Category : Mathematics Languages : en Pages : 912
Book Description
This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.
Author: Victor G. Kac Publisher: Springer ISBN: 3030013766 Category : Mathematics Languages : en Pages : 199
Book Description
Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and symmetry methods in differential equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability, representation theory of Lie algebras, classification problems, conservation laws, and geometrical methods. The SDEA III, held in honour of the Centenary of Noether’s Theorem, proven by the prominent German mathematician Emmy Noether, at Istanbul Technical University in August 2017 provided a productive forum for academic researchers, both junior and senior, and students to discuss and share the latest developments in the theory and applications of Lie symmetry groups. This work has an interdisciplinary appeal and will be a valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and finance.
Author: Michael Reissig Publisher: Springer Science & Business Media ISBN: 3764373865 Category : Mathematics Languages : en Pages : 520
Book Description
Presenting several developments in the theory of hyperbolic equations, this book's contributions deal with questions of low regularity, critical growth, ill-posedness, decay estimates for solutions of different non-linear hyperbolic models, and introduce new approaches based on microlocal methods.