Partial Differential Equations – alle Bücher

Ugo Gianazza, Emmanuele Dibenedetto
Partial Differential Equations

This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also…

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A. K. Nandakumaran, P. S. Datti
Partial Differential Equations

A valuable guide covering the key principles of partial differential equations and their real world applications.

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Michael E. Taylor
Partial Differential Equations III

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well a…

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Michael E. Taylor
Partial Differential Equations II

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 opera…

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Michael E. Taylor
Partial Differential Equations I

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number o…

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Peter J. Costa
Select Ideas in Partial Differential Equations

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 fundamenta…

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Svetlin G. Georgiev
An Excursion Through Partial Differential Equations

Presenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints. It ex…

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Partial Differential Equations and Functional Analysis

Part I Memoirs. - Notes About My Father. - Mark Iosifovich and Asia Moiseevna: Random Reminiscences. - Meetings with Mark Iosifovich Vishik. - My Scientific Advisor Mark Iosifovich Vishik. - M. I. Vishik …

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Arian Novruzi
A Short Introduction to Partial Differential Equations

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 appro…

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Carl L. Gardner
Applied Numerical Methods for Partial Differential Equations

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 nume…

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Alexei Cheviakov
Analytical Properties of Nonlinear Partial Differential Equations

Nonlinear partial differential equations (PDE) are at the core of mathematical modeling. In the past decades and recent years, multiple analytical methods to study various aspects of the mathematical stru…

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Advances in Partial Differential Equations and Control

This volume presents a timely overview of control theory and related topics, such as the reconstruction problem, the stability of PDEs, and the Calderón problem. The chapters are based on talks given at t…

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Boukarou Aissa
Partial Differential Equations In Sobolev & Analytic Spaces

Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, …

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Sergio Vessella
Unique Continuation Properties for Partial Differential Equations

This book provides a comprehensive and self-contained introduction to the study of the Cauchy problem and unique continuation properties for partial differential equations. Aimed at graduate and advanced …

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Zhendong Luo
Finite Element and Reduced Dimension Methods for Partial Differential Equations

This book aims to provide with some approaches for lessening the unknowns of the FE methods of unsteady PDEs. It provides a very detailed theoretical foundation of finite element (FE) and mixed finite ele…

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Gabriel R. Barrenechea, Volker John, Petr Knobloch
Monotone Discretizations for Elliptic Second Order Partial Differential Equations

This book offers a comprehensive presentation of numerical methods for elliptic boundary value problems that satisfy discrete maximum principles (DMPs). The satisfaction of DMPs ensures that numerical sol…

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Tudor Barbu
Digital Image Processing, Analysis and Computer Vision Using Nonlinear Partial Differential Equations

This book provides an overview of the applications of partial differential equations (PDEs) to image processing, analysis, and computer vision domains, focusing mainly on the most important contributions …

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Robert C. Dalang, Marta Sanz-Solé
Stochastic Partial Differential Equations, Space-time White Noise and Random Fields

Springer Monographs in Mathematics

This open access book provides a comprehensive introduction to the theory of stochastic partial differential equations (SPDEs). The focus is on SPDEs driven by Gaussian space-time white noise. The book co…

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Mohsen Zayernouri, Li-Lian Wang, Jie Shen
Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations

Fractional modeling is a new frontier of high-fidelity predictive modeling approaches in mathematics, science, and engineering. This introduction for graduate students and researchers is a guide to numeri…

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Ulziibayar Vandandoo, Tugal Zhanlav, Ochbadrakh Chuluunbaatar, Alexander Gusev
High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations

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 diff…

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