Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The book begins with extensive coverage of the calculus of difference equations, including...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
This book presents an opportunity to learn difference and differential equations through a modelling-first approach. The text is meant as an introduction to those equations and not as a text only for modelling courses. No previous exposure to the...Lasīt vairāk
Sērija : Cambridge Monographs on Applied and Computational Mathematics
(Izdošanas datums: 05-Jun-2025, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781009566537)
Finite differences are widely used for solving problems in scientific computing. One aspect underrepresented in textbooks concerns high-accuracy methods. Bengt Fornberg addresses that here. Full of conceptual insights, general perspectives, and pract...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
The roots of the modern theories of differential and q-difference equations go back in part to an article by George D. Birkhoff, published in 1913, dealing with the three sister theories of differential, difference and q-difference equations...Lasīt vairāk
Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The book begins with extensive coverage of the calculus of difference equations, including...Lasīt vairāk
Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in various areas of mathematics. This book is a comprehensive introduction to the theory of these functions...Lasīt vairāk
This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitativ...Lasīt vairāk
Combines the theory of discrete-time dynamical systems with applications to population dynamics with an emphasis on spatial structure. The inclusion of two sexes that must mate to produce offspring leads to the study of operators that are (positively...Lasīt vairāk
An introduction to the use of matrix theory and linear algebra in modeling the dynamics of biological populations. Learn the basics of modeling methodology (i.e., how to set up a matrix model from biological underpinnings) and the fundamentals of th...Lasīt vairāk
This book presents contributions related to new research results presented at the 27th International Conference on Difference Equations and Applications, ICDEA 2022, that was held at CentraleSupélec, Université Paris-Saclay, France, under the auspic...Lasīt vairāk
(Izdošanas datums: 29-Feb-2024, Paperback / softback, Izdevniecība: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611977851)
The conjugate gradient (CG) algorithm is almost always the iterative method of choice for solving linear systems with symmetric positive definite matrices. This book describes and analyses techniques based on Gauss quadrature rules to cheaply comput...Lasīt vairāk
Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in various areas of mathematics. This book is a comprehensive introduction to the theory of these functions...Lasīt vairāk
Presents a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the...Lasīt vairāk
(Izdošanas datums: 27-Sep-2023, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470472061)
Presents a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the...Lasīt vairāk
Covers recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, q-difference equations, partial differential equations, and moment differential equ...Lasīt vairāk
Provides a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is in...Lasīt vairāk
(Izdošanas datums: 15-Apr-2023, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821843543)
Levi, Winternitz, and Yamilov present a new book on integrable systems and symmetries in which they share the results of their own research into applications of symmetries and integrability techniques to the case of equations defined on the latti...Lasīt vairāk
?This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021.The book...Lasīt vairāk
The Galois theory of difference equations has witnessed a major evolution during the past two decades, say Di Vizio and Hardouin, and in the particular case of q-difference equations, several different Galois theories have emerged. They consider...Lasīt vairāk
The authors of this book and their colleagues investigated the ?rst known application of a "max-type" di erence equation. Their equation is a phenomenological model of epileptic seizures. In this book, the authors expand on that research...Lasīt vairāk
This book focuses on sequences as recursive relations and then transitions to periodic recursive patterns and eventually periodic recursive patterns. The aim of the author is to get students to understand the significance of pattern recognition as...Lasīt vairāk
In this paper, we establish a necessary and sufficient condition for the existence and regularity of the density of the solution to a semilinear stochastic (fractional) heat equation with measure-valued initial conditions. Under a mild cone conditio...Lasīt vairāk
This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamica...Lasīt vairāk
This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engine...Lasīt vairāk
This book presents the proceedings of the 24th International Conference on Difference Equations and Applications, which was held at the Technical University in Dresden, Germany, in May 2018, under the auspices of the International Society of Dif...Lasīt vairāk
This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamica...Lasīt vairāk
