Author: Michael Oberguggenberger
Publisher:
ISBN:
Category : Differential equations, Hyperbolic
Languages : en
Pages : 340
Book Description
Multiplication of Distributions and Applications to Partial Differential Equations
Author: Michael Oberguggenberger
Publisher:
ISBN:
Category : Differential equations, Hyperbolic
Languages : en
Pages : 340
Book Description
Publisher:
ISBN:
Category : Differential equations, Hyperbolic
Languages : en
Pages : 340
Book Description
Multiplication of Distributions
Author: Jean F. Colombeau
Publisher: Springer
ISBN: 3540475109
Category : Mathematics
Languages : en
Pages : 193
Book Description
This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).
Publisher: Springer
ISBN: 3540475109
Category : Mathematics
Languages : en
Pages : 193
Book Description
This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).
Multiplication of Distributions and Applications to Partial Differential Equations
Author: Michael Oberguggenberger
Publisher:
ISBN: 9780608052304
Category :
Languages : en
Pages : 330
Book Description
Publisher:
ISBN: 9780608052304
Category :
Languages : en
Pages : 330
Book Description
Partial Differential Equations
Author: Walter A. Strauss
Publisher: John Wiley & Sons
ISBN: 0470054565
Category : Mathematics
Languages : en
Pages : 467
Book Description
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Publisher: John Wiley & Sons
ISBN: 0470054565
Category : Mathematics
Languages : en
Pages : 467
Book Description
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
General Theory of Partial Differential Equations and Microlocal Analysis
Author: Min-You Qi
Publisher: CRC Press
ISBN: 9780582292123
Category : Mathematics
Languages : en
Pages : 248
Book Description
Publisher: CRC Press
ISBN: 9780582292123
Category : Mathematics
Languages : en
Pages : 248
Book Description
Random Geometrically Graph Directed Self-Similar Multifractals
Author: Lars Olsen
Publisher: CRC Press
ISBN: 1351419870
Category : Mathematics
Languages : en
Pages : 262
Book Description
Multifractal theory was introduced by theoretical physicists in 1986. Since then, multifractals have increasingly been studied by mathematicians. This new work presents the latest research on random results on random multifractals and the physical thermodynamical interpretation of these results. As the amount of work in this area increases, Lars Olsen presents a unifying approach to current multifractal theory. Featuring high quality, original research material, this important new book fills a gap in the current literature available, providing a rigorous mathematical treatment of multifractal measures.
Publisher: CRC Press
ISBN: 1351419870
Category : Mathematics
Languages : en
Pages : 262
Book Description
Multifractal theory was introduced by theoretical physicists in 1986. Since then, multifractals have increasingly been studied by mathematicians. This new work presents the latest research on random results on random multifractals and the physical thermodynamical interpretation of these results. As the amount of work in this area increases, Lars Olsen presents a unifying approach to current multifractal theory. Featuring high quality, original research material, this important new book fills a gap in the current literature available, providing a rigorous mathematical treatment of multifractal measures.
Elliptic Operators, Topology, and Asymptotic Methods
Author: John Roe
Publisher: CRC Press
ISBN: 1482247836
Category : Mathematics
Languages : en
Pages : 218
Book Description
Ten years after publication of the popular first edition of this volume, the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interaction of topology, geometry, and analysis. Retaining its concise presentation but offering streamlined analyses and expanded coverage of important exampl
Publisher: CRC Press
ISBN: 1482247836
Category : Mathematics
Languages : en
Pages : 218
Book Description
Ten years after publication of the popular first edition of this volume, the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interaction of topology, geometry, and analysis. Retaining its concise presentation but offering streamlined analyses and expanded coverage of important exampl
Numerical Methods in Mechanics
Author: Carlos Conca
Publisher: CRC Press
ISBN: 9780582313200
Category : Mathematics
Languages : en
Pages : 196
Book Description
This volume contains the invited papers given at the Fourth French-Latin American Congress on Applied Mathematics. New numerical techniques in fluid and solid mechanics were presented.
Publisher: CRC Press
ISBN: 9780582313200
Category : Mathematics
Languages : en
Pages : 196
Book Description
This volume contains the invited papers given at the Fourth French-Latin American Congress on Applied Mathematics. New numerical techniques in fluid and solid mechanics were presented.
A Method for Computing Unsteady Flows in Porous Media
Author: R Raghavan
Publisher: Routledge
ISBN: 1351469762
Category : Mathematics
Languages : en
Pages : 135
Book Description
Self-contained and concise, this Research Note provides a basis to study unsteady flow in saturated porous media. It provides for the development of algorithms that examine three-dimensional flows subject to complicated boundary conditions that are a natural consequence of flow in geological systems. A new way to understand the flow in porous media is presented. The authors pay attention to computational considerations, and options for developing codes are addressed. The note consists of five chapters: the first is introductory; the second and third are devoted to showing how one arrives at the solutions of interest; the fourth chapter presents various reformulations to aid computations and presents a few illustrative examples; the fifth chapter is a natural progression of the first four chapters to more complicated visualizations of flow in porous media.
Publisher: Routledge
ISBN: 1351469762
Category : Mathematics
Languages : en
Pages : 135
Book Description
Self-contained and concise, this Research Note provides a basis to study unsteady flow in saturated porous media. It provides for the development of algorithms that examine three-dimensional flows subject to complicated boundary conditions that are a natural consequence of flow in geological systems. A new way to understand the flow in porous media is presented. The authors pay attention to computational considerations, and options for developing codes are addressed. The note consists of five chapters: the first is introductory; the second and third are devoted to showing how one arrives at the solutions of interest; the fourth chapter presents various reformulations to aid computations and presents a few illustrative examples; the fifth chapter is a natural progression of the first four chapters to more complicated visualizations of flow in porous media.
Refined Large Deviation Limit Theorems
Author: Vladimir Vinogradov
Publisher: CRC Press
ISBN: 1000941604
Category : Mathematics
Languages : en
Pages : 226
Book Description
This is a developing area of modern probability theory, which has applications in many areas. This volume is devoted to the systematic study of results on large deviations in situations where Cramér's condition on the finiteness of exponential moments may not be satisfied
Publisher: CRC Press
ISBN: 1000941604
Category : Mathematics
Languages : en
Pages : 226
Book Description
This is a developing area of modern probability theory, which has applications in many areas. This volume is devoted to the systematic study of results on large deviations in situations where Cramér's condition on the finiteness of exponential moments may not be satisfied