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Book Existence Theorems in Partial Differential Equations

Download or read book Existence Theorems in Partial Differential Equations written by Dorothy L. Bernstein and published by Princeton University Press. This book was released on 1951-01-20 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Existence Theorems in Partial Differential Equations. (AM-23), Volume 23, will be forthcoming.

Book Some General Existence Theorems for Partial Differential Equations of Hyperbolic Type

Download or read book Some General Existence Theorems for Partial Differential Equations of Hyperbolic Type written by Margaret Gurney and published by . This book was released on 1934 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Cohomological Analysis of Partial Differential Equations and Secondary Calculus

Download or read book Cohomological Analysis of Partial Differential Equations and Secondary Calculus written by A. M. Vinogradov and published by American Mathematical Soc.. This book was released on 2001-10-16 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to fundamentals of a new theory, which is an analog of affine algebraic geometry for (nonlinear) partial differential equations. This theory grew up from the classical geometry of PDE's originated by S. Lie and his followers by incorporating some nonclassical ideas from the theory of integrable systems, the formal theory of PDE's in its modern cohomological form given by D. Spencer and H. Goldschmidt and differential calculus over commutative algebras (Primary Calculus). The main result of this synthesis is Secondary Calculus on diffieties, new geometrical objects which are analogs of algebraic varieties in the context of (nonlinear) PDE's. Secondary Calculus surprisingly reveals a deep cohomological nature of the general theory of PDE's and indicates new directions of its further progress. Recent developments in quantum field theory showed Secondary Calculus to be its natural language, promising a nonperturbative formulation of the theory. In addition to PDE's themselves, the author describes existing and potential applications of Secondary Calculus ranging from algebraic geometry to field theory, classical and quantum, including areas such as characteristic classes, differential invariants, theory of geometric structures, variational calculus, control theory, etc. This book, focused mainly on theoretical aspects, forms a natural dipole with Symmetries and Conservation Laws for Differential Equations of Mathematical Physics, Volume 182 in this same series, Translations of Mathematical Monographs, and shows the theory "in action".

Book Existence Theorems for Ordinary Differential Equations

Download or read book Existence Theorems for Ordinary Differential Equations written by Francis J. Murray and published by . This book was released on 1954 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Existence Theorems in Ordinary Differential Equations

Download or read book Existence Theorems in Ordinary Differential Equations written by Henry Walthier and published by . This book was released on 1932 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Partial Differential Equations

Download or read book Partial Differential Equations written by M. S. Agranovich and published by American Mathematical Soc.. This book was released on 2002 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Vishik's Partial Differential Equations seminar held at Moscow State University was one of the world's leading seminars in PDEs for over 40 years. This book celebrates Vishik's eightieth birthday. It comprises new results and survey papers written by many renowned specialists who actively participated over the years in Vishik's seminars. Contributions include original developments and methods in PDEs and related fields, such as mathematical physics, tomography, and symplecticgeometry. Papers discuss linear and nonlinear equations, particularly linear elliptic problems in angles and general unbounded domains, linear elliptic problems with a parameter for mixed order systems, infinite-dimensional Schrodinger equations, Navier-Stokes equations, and nonlinear Maxwellequations. The book ends on a historical note with a paper about Vishik's seminar as a whole and a list of selected talks given from 1964 through 1989. The book is suitable for graduate students and researchers in pure and applied mathematics and mathematical physics.

Book Numerical Methods for Partial Differential Equations

Download or read book Numerical Methods for Partial Differential Equations written by William F. Ames and published by Academic Press. This book was released on 2014-06-28 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls--such as overstability, consistency requirements, and the danger of extrapolation to nonlinear problems methods used on linear problems. Numerical Methods for Partial Differential Equations, Third Edition reflects the great accomplishments that have taken place in scientific computation in the fifteen years since the Second Edition was published. This new edition is a drastic revision of the previous one, with new material on boundary elements, spectral methods, the methods of lines, and invariant methods. At the same time, the new edition retains the self-contained nature of the older version, and shares the clarity of its exposition and the integrity of its presentation. Material on finite elements and finite differences have been merged, and now constitute equal partners Additional material has been added on boundary elements, spectral methods, the method of lines, and invariant methods References have been updated, and reflect the additional material Self-contained nature of the Second Edition has been maintained Very suitable for PDE courses

Book Functional Operators  AM 21   Volume 1

Download or read book Functional Operators AM 21 Volume 1 written by John von Neumann and published by Princeton University Press. This book was released on 2016-03-02 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry of orthogonal spaces.

Book Applied Stochastic Differential Equations

Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Book Existence Theorems for Ordinary Differential Equations

Download or read book Existence Theorems for Ordinary Differential Equations written by Cullen Squaere Hodge and published by . This book was released on 1950 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "The general solution of the first order linear differential equation, F(x, y, y0́9) = 0 (1.1.1), is an equation connecting x, y and an arbitrary constant. We assume P to be a single-valued function throughout some domain and that y is a differentiable function of x. Under certain conditions (Goursat 5, Chap. 2) we may write 1.1.1 in the form, y0́9 = f(x, y) (1.1.2), where f(x, y) is continuous (simultaneously) in x and y in a domain S." --