Differential Equations: A first course on ODE and a brief introduction to PDE, Shair Ahmad, Antonio Ambrosetti

Автор: Lord
Название: An Introduction to Computational Stochastic PDEs
ISBN: 0521728525 ISBN-13(EAN): 9780521728522
Издательство: Cambridge Academ
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Цена: 60190.00 T
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Описание: This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB (R) codes are included, so that readers can perform computations themselves and solve the test problems discussed.

Автор: Lord
Название: An Introduction to Computational Stochastic PDEs
ISBN: 0521899907 ISBN-13(EAN): 9780521899901
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB (R) codes are included, so that readers can perform computations themselves and solve the test problems discussed.

Автор: Nazarov Alexander I, Poborchi Sergei
Название: Poincare Inequality And Its Applications To Pde: An Advanced Textbook
ISBN: 9814725889 ISBN-13(EAN): 9789814725880
Издательство: World Scientific Publishing
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Цена: 33790.00 T
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Описание: This book presents an introduction to the theory of Sobolev spaces that is a fundamental tool in the modern study of partial differential equations. The authors' approach is based on the Poincare inequality and demonstrates its importance in function theory and in the theory of PDEs.

Автор: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 88690.00 T
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Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.

Автор: Nazarov Alexander I, Poborchi Sergei
Название: Poincare Inequality And Its Applications To Pde: An Advanced Textbook
ISBN: 9814725870 ISBN-13(EAN): 9789814725873
Издательство: World Scientific Publishing
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Цена: 65470.00 T
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Описание: This book presents an introduction to the theory of Sobolev spaces that is a fundamental tool in the modern study of partial differential equations. The authors' approach is based on the Poincare inequality and demonstrates its importance in function theory and in the theory of PDEs.

Автор: Ahmad Shair
Название: Textbook on Ordinary Differential Equations
ISBN: 3319164074 ISBN-13(EAN): 9783319164076
Издательство: Springer
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Цена: 46570.00 T
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Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.

Автор: Wazwaz Abdul-Majid
Название: First Course In Integral Equations, A (Second Edition)
ISBN: 9814675121 ISBN-13(EAN): 9789814675123
Издательство: World Scientific Publishing
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Цена: 42240.00 T
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Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

Автор: Christian Kuehn
Название: PDE Dynamics: An Introduction
ISBN: 1611975654 ISBN-13(EAN): 9781611975659
Издательство: Mare Nostrum (Eurospan)
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Цена: 59770.00 T
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Описание: This book provides an overview of the myriad methods for applying dynamical systems techniques to PDEs and highlights the impact of PDE methods on dynamical systems. Also included are many nonlinear evolution equations, which have been benchmark models across the sciences, and examples and techniques to strengthen preparation for research. PDE Dynamics: An Introduction is intended for senior undergraduate students, beginning graduate students, and researchers in applied mathematics, theoretical physics, and adjacent disciplines. Structured as a textbook or seminar reference, it can be used in courses titled Dynamics of PDEs, PDEs 2, Dynamical Systems 2, Evolution Equations, or Infinite-Dimensional Dynamics.

Автор: Mark L. Agranovsky, Matania Ben-Artzi, Greg Galloway, Lavi Karp, Dmitry Khavinson
Название: Complex Analysis and Dynamical Systems VI: Part 1: PDE, Differential Geometry, Radon Transform
ISBN: 1470416530 ISBN-13(EAN): 9781470416539
Издательство: Mare Nostrum (Eurospan)
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Цена: 104410.00 T
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Описание: Contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held in May 2013. The papers range over a wide variety of topics in partial differential equations, differential geometry, and the radon transform. Taken together, the articles provide the reader with a panorama of activity in partial differential equations and general relativity.

Автор: William E. Schiesser
Название: PDE Models for Atherosclerosis Computer Implementation in R
ISBN: 1681734435 ISBN-13(EAN): 9781681734439
Издательство: Mare Nostrum (Eurospan)
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Цена: 61910.00 T
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Описание: Thirty-seven-year-old piano teacher Camille Childs is a lost soul who is seeking recognition through her star student-so when her student unexpectedly leaves California to return to her village in Oaxaca, Mexico, Camille follows her. There, Camille meets Alejandro, a Zapotec man who helps her navigate the unfamiliar culture of Oaxaca and teaches her to view the world in a different light.

Автор: William E. Schiesser
Название: PDE Models for Atherosclerosis Computer Implementation in R
ISBN: 1681734451 ISBN-13(EAN): 9781681734453
Издательство: Mare Nostrum (Eurospan)
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Цена: 82230.00 T
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Описание: Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death. Cholesterol in the blood is a key marker for atherosclerosis, with two forms: (1) LDL - low density lipoproteins and (2) HDL - high density lipoproteins. Low LDL and high HDL concentrations are generally considered essential for limited atherosclerosis and good health.This book pertains to a mathematical model for the spatiotemporal distribution of LDL and HDL in the arterial endothelial inner layer (EIL, intima). The model consists of a system of six partial differential equations (PDEs) with the dependent variables1. concentration of modified LDL2. ℎ concentration of HDL3. concentration of chemoattractants4. concentration of ES cytokines5. density of monocytes/macrophages6. density of foam cells and independent variables1. distance from the inner arterial wall2. timeThe focus of this book is a discussion of the methodology for placing the model on modest computers for study of the numerical solutions. The foam cell density as a function of the bloodstream LDL and HDL concentrations is of particular interest as a precursor for arterial plaque formation and stiffening.The numerical algorithm for the solution of the model PDEs is the method of lines (MOL), a general procedure for the computer-based numerical solution of PDEs. The MOL coding (programming) is in R, a quality, open-source scientific computing system that is readily available from the Internet. The R routines for the PDE model are discussed in detail, and are available from a download link so that the reader/analyst/researcher can execute the model to duplicate the solutions reported in the book, then experiment with the model, for example, by changing the parameters (constants) and extending the model with additional equations.

Автор: Loustau John
Название: Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation
ISBN: 9814719498 ISBN-13(EAN): 9789814719490
Издательство: World Scientific Publishing
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Цена: 126720.00 T
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Описание: The book presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting mathematical theory.