The book describes and illustrates how to apply effective analytical methods to obtain exact solutions to nonlinear differential equations of mathematical physics and other partial differential equations. Nonlinear partial differential equa...Lasīt vairāk
The book deals with qualitative analysis of the mathematical model of flow of a viscous incompressible fluid around a translating and rotating body. The considered mathematical model, which represents the description of the flow in a coordinate sy...Lasīt vairāk
James Adler, Hans De Sterck, Scott MacLachlan, Luke Olson
Sērija : Computational Science and Engineering
(Izdošanas datums: 31-Jul-2025, Paperback / softback, Izdevniecība: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978278)
Numerical methods for approximating PDE solutions are presented in a rich exploration of discretization techniques such as finite-difference, finite-element, and finite-volume methods. Topics span foundational background, algorithmic strategies, lin...Lasīt vairāk
Meant for senior undergraduates and graduates of mathematics, physics, engineering and biology, this book enables an understanding of ordinary and partial differential equations through analysis, geometry and linear algebra. It includes carefully ch...Lasīt vairāk
(Izdošanas datums: 02-Jun-2025, Hardback, Izdevniecība: De Gruyter, ISBN-13: 9783111722511)
This book provides a comprehensive exploration of Mean Field Games (MFG) theory, a mathematical framework for modeling the collective behavior of rational agents in complex systems. MFG theory can govern a range of societal phenomena, including fi...Lasīt vairāk
Lise-Marie Imbert-Gérard, Elizabeth J. Paul, Adelle M. Wright
(Izdošanas datums: 30-Apr-2025, Paperback / softback, Izdevniecība: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978216)
This self-contained book is the first to provide readers with an introduction to mathematical foundations and modeling of stellarator design. It covers the fundamental theoretical building blocks of magnetic fields modeling, some of the associated c...Lasīt vairāk
Sebastiano Boscarino, Lorenzo Pareschi, Giovanni Russo
Sērija : Mathematical Modeling and Computation
(Izdošanas datums: 30-Apr-2025, Paperback / softback, Izdevniecība: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978193)
Implicit-explicit (IMEX) time discretization methods have proven to be highly effective for the numerical solution of a wide class of evolutionary partial differential equations (PDEs) across various contexts. These methods have become mainstream fo...Lasīt vairāk
Symmetries are a common feature of real-world phenomena in many fields, including physics, biology, materials science, and engineering. They can help understand the behavior of a system and optimize engineering designs. Nonlinear effects such as del...Lasīt vairāk
Sērija : De Gruyter Series in Nonlinear Analysis & Applications
(Izdošanas datums: 03-Mar-2025, Hardback, Izdevniecība: De Gruyter, ISBN-13: 9783111635514)
This book is devoted to the qualitative theory of partial dynamic equations on arbitrary time scales. The results in the book generalize the classical results, and they unify the discrete and continuous cases. The book starts with classification a...Lasīt vairāk
When we study differential equations in Banach spaces whose coefficients are linear unbounded operators, we feel that we are working in ordinary differential equations; however, the fact that the operator coefficients are unbounded makes things qu...Lasīt vairāk
(Izdošanas datums: 28-Feb-2025, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476236)
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Lasīt vairāk
The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional boundary-value problems (BVPs) for different partial differential equations, in particular, linear Hel...Lasīt vairāk
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Lasīt vairāk
This book provides a concise but thorough introduction to partial differential equations which model phenomena that vary in both space and time. The author begins with a full explanation of the fundamental linear partial differential equations of...Lasīt vairāk
This book provides a short introduction to partial differential equations (PDEs). It is primarily addressed to graduate students and researchers, who are new to PDEs. The book offers a user-friendly approach to the analysis of PDEs, by combining e...Lasīt vairāk
The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich st...Lasīt vairāk
This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint...Lasīt vairāk
This volume contains the proceedings of the BIRS Workshop Topics in Multiple Time Scale Dynamics, held from November 27- December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics...Lasīt vairāk
This book is dedicated to exploring optimization problems of geometric-analytic nature, which are fundamental to tackling various unresolved questions in mathematics and physics. These problems revolve around minimizing geometric or analytic quant...Lasīt vairāk
This monograph delves into the theory of time-fractional diffusion and wave equations, presenting a comprehensive exploration of recent advancements in the field. Key topics include well-posedness, regularity, and approximate controllability of Ca...Lasīt vairāk
The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductor...Lasīt vairāk
This self-contained text provides a sufficient theoretical basis to understand Greens function method, which is used to solve initial and boundary value problems involving linear ODEs and PDEs. It presents a variety of approaches, including class...Lasīt vairāk
Exploring recent developments in continuum mechanics, Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics presents the general framework for configurational forces. It also covers a range of applications in...Lasīt vairāk
