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
Barbara D. MacCluer, Paul S. Bourdon, Thomas L. Kriete
Sērija : Monograph Books
(Izdošanas datums: 30-Nov-2019, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470447977)
MacCluer, Bourdon, and Kriete present a textbook for a course on differential equations for students who have completed a standard year-long course in single-variable calculus. Their examples and exercises emphasize differential equation modeling...Lasīt vairāk
A thoroughly modern textbook for a differential equations course. The examples and exercises emphasize modelling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and...Lasīt vairāk
(Izdošanas datums: 01-Jan-2019, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470444006)
A thoroughly modern textbook for a differential equations course. This second edition of Noonburgs best-selling textbook includes two new chapters on partial differential equations. It includes exercises, examples, and extensive student projects ta...Lasīt vairāk
(Izdošanas datums: 30-Nov-2017, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470436131)
In an introductory textbook on nonlinear dynamics of partial differential equations, Schneider and Uecker focus on problems over unbounded domains and modulation equations. Often starting with a real world problem, they explains how to use dynami...Lasīt vairāk
(Izdošanas datums: 01-Nov-2015, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470418816)
In this book, author Andr Vasey presents readers with a comprehensive examination of the theoretical underpinnings of modern partial differential equations. Written for students that have a grasp of multivariable calculus and basic metric space...Lasīt vairāk
Intended for readers who want to understand the theoretical underpinnings of modern PDEs in settings that are important for the applications without using extensive analytic tools required by most advanced texts. The assumed mathematical background...Lasīt vairāk
(Izdošanas datums: 01-Feb-2013, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821887714)
Bressan (Penn State U.) introduces linear functional analysis, extending the techniques and results of classical linear algebra to infinite-dimensional spaces. The graduate text explores Banach spaces and Hilbert spaces and covers enough of the theor...Lasīt vairāk
Addressed to graduate students in mathematics and other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the...Lasīt vairāk
(Izdošanas datums: 30-Sep-2011, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821868898)
Pinsky (mathematics, Northwestern U.) updates again his textbook introducing partial differential equations to students who have finished calculus through ordinary differential equations. He provides physical motivation, mathematical methods, and phy...Lasīt vairāk
Lin taught a course at the Courant Institute, New York University, in 1992, and in 1995 Han used and augmented the notes for a course at the University of Notre Dame. They present some basic methods for obtaining various a priori estimates for second...Lasīt vairāk
(Izdošanas datums: 30-Apr-2011, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821852552)
Han (mathematics, U. of Notre Dame) begins his introductory graduate textbook by addressing such questions as whether it really is necessary to classify partial differential equations and to employ different methods to discuss the different types, an...Lasīt vairāk
The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equati...Lasīt vairāk
