Heinz-Otto Kreiss, Hedwig Ulmer Busenhart, "Time-dependent Partial Differential Equations and Their Numerical Solution"
English | 2001 | pages: 86 | ISBN: 3764361255 | DJVU | 0,5 mb
This book studies time-dependent partial differential equations and their numerical solution, developing the analytic and the numerical theory in parallel, and placing special emphasis on the discretization of boundary conditions. The theoretical results are then applied to Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. This book will be a useful introduction to the field for applied mathematicians and graduate students.

Nikolai Karapetiants, Stefan Samko, "Equations with Involutive Operators"
English | 2001 | pages: 450 | ISBN: 1461266513, 0817641572 | DJVU | 2,6 mb
This self-contained title demonstrates an important interplay between abstract and concrete operator theory. Key ideas are developed in a step-by-step approach, beginning with required background and historical material, and culminating in the final chapters with state-of-the-art topics. Good examples, bibliography and index make this text a valuable classroom or reference resource.

Takashi Suzuki, "Semilinear Elliptic Equations: Classical and Modern Theories "
English | ISBN: 3110555352 | 2020 | 450 pages | PDF | 4 MB
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.

R Precup, "Methods in Nonlinear Integral Equations"
English | 2002 | pages: 214 | ISBN: 9048161142, 1402008449 | DJVU | 1,0 mb
Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis.

Linear Equations and Inequalities: Hamilton Education Guides Manual 16 - Over 230 Solved Problems by Dan Hamilton
English | May 28, 2022 | ISBN: N/A | ASIN: B0B2NC2XG9 | 84 pages | PDF | 5.14 Mb
Why choose this eManual?

Calculus of Variations and Partial Differential Equations: Topics on Geometrical Evolution Problems and Degree Theory by Luigi Ambrosio
English | PDF | 2000 | 347 Pages | ISBN : 3540648038 | 27.7 MB
The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.).

English | 2022 | ISBN: 3110695960 | 474 pages | True PDF EPUB | 117.84 MB
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.

Differential Equations by Leila Spark
English | 2022 | ISBN: N/A | ASIN: B0B5NF5CBH | 408 pages | EPUB | 3.56 Mb
Differential Equations is a fully reference book for students of high (Grades 9-12), mathematics, physics, engineering and diploma courses.

Partial Differential Equations: Topics in Fourier Analysis, 2nd Edition
English | 2023 | ISBN: 1032073160 | 208 Pages | PDF (True) | 9 MB
Partial Differential Equations: Topics in Fourier Analysis, Second Edition explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified by modern analysis.

Douglas G. Brooks PhD, "Maxwell's Equations Without the Calculus"
English | 2016 | ISBN: 1523634391 | ASIN: B00WAOT8MU | EPUB | pages: 48 | 0.3 mb
James Clerk Maxwell published his famous equations in 1873. They form the absolute core of our understanding of electromagnetics and they stand virtually unchanged (not even "tweaked") since they were first published. In one sense, Maxwell's equations are beautifully simple. But in another sense, they are extremely complex, relying on very advanced calculus. The fundamental laws behind Maxwell's equations are familiar to most people. So this book focuses on those laws and expresses the equations in words, omitting the calculus (well, almost) entirely. This book explains how Maxwell's equations are formed, where they came from, and how they interrelate in words that even non-engineers can understand. This removes this very important topic from the complexities of the underlying mathematics and puts it in a form that everyone can understand. This book is intended for the average reader and for the engineering student who is facing his or her first introduction to Maxwell. Before you can understand the complexities of the mathematics, you need to understand the fundamental background behind the equations. That is what this book offers.