Download or read book Systems of Linear Partial Differential Equations and Deformation of Pseudogroups Structures by A Kumpera and D C Spencer written by Antônio Kumpera and published by . This book was released on 1974 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures written by Antonio Kumpera and published by Presses de l'Université de Montréal. This book was released on 1974 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of these notes is the description of a non-linear complex into which the integrability (or compatibility) condition is inserted as a non-linear operator in such a way that exactness implies the integrability of the almost-structure (existence of local coordinates for the structure) or, by the introduction of parameters, the existence of a (germ of) deformation of the structure. To the non-linear complex are attached some fundamental identities and a structure equation. The non-linear complex is a finite form of the initial portion of a linear complex which is a differential graded Lie algebra. The operators in the non-linear and linear complexes are of first order.

Download or read book Partial Differential Equations written by Donald Clayton Spencer and published by American Mathematical Soc.. This book was released on 1973 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Selecta written by Donald Clayton Spencer and published by World Scientific. This book was released on 1985 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lie Equations Vol I written by Antonio Kumpera and published by Princeton University Press. This book was released on 2016-03-02 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.

Download or read book Systems of Partial Differential Equations and Lie Pseudogroups written by J. F. Pommaret and published by CRC Press. This book was released on 1978 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Journal of Differential Geometry written by and published by . This book was released on 1978 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings of Symposia in Pure Mathematics written by and published by . This book was released on 1973 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Topics in Invariant Theory written by Marie-Paule Malliavin and published by Springer. This book was released on 2006-11-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings reflect the main activities of the Paris Séminaire d'Algèbre 1989-1990, with a series of papers in Invariant Theory, Representation Theory and Combinatorics. It contains original works from J. Dixmier, F. Dumas, D. Krob, P. Pragacz and B.J. Schmid, as well as a new presentation of Derived Categories by J.E. Björk and as introduction to the deformation theory of Lie equations by J.F. Pommaret. J. Dixmier: Sur les invariants du groupe symétrique dans certaines représentations II.- B.J. Schmid: Finite groups and invariant theory.- J.E. Björk: Derived categories.- P. Pragacz: Algebro-Geometric applications of Schur S- and Q-polynomials.- F. Dumas: Sous-corps de fractions rationnelles des corps gauches de séries de Laurent.- D. Krob: Expressions rationnelles sur un anneau.- J.F. Pommaret: Deformation theory of algebraic and Geometric structures.- M. van den Bergh: Differential operators on semi-invariants for tori and weighted projective spaces.

Download or read book Subject Catalog written by Library of Congress and published by . This book was released on with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Partial Differential Equations and Group Theory written by J.F. Pommaret and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential control thPory (the classical theory) studies input/output re lations defined by systems of ordinary differential equations (ODE). The various con cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re cently unified by means of new formal methods coming from differential geometry and differential algebra. However, certain problems (invariance, equivalence, linearization, etc. ) naturally lead to systems of partial differential equations (PDE). More generally, partial differential control theory studies input/output relations defined by systems of PDE (mechanics, thermodynamics, hydrodynamics, plasma physics, robotics, etc. ). One of the aims of this book is to extend the preceding con cepts to this new situation, where, of course, functional analysis and/or a dynamical system approach cannot be used. A link will be exhibited between this domain of applied mathematics and the famous 'Backlund problem', existing in the study of solitary waves or solitons. In particular, we shall show how the methods of differ ential elimination presented here will allow us to determine compatibility conditions on input and/or output as a better understanding of the foundations of control the ory. At the same time we shall unify differential geometry and differential algebra in a new framework, called differential algebraic geometry.

Download or read book written by and published by . This book was released on 1975 with total page 1416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 1976 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Overdetermined Systems of Linear Partial Differential Equations written by Donald Clayton Spencer and published by . This book was released on 1968 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Library of Congress Catalog written by Library of Congress and published by . This book was released on 1970 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Library of Congress Catalogs written by Library of Congress and published by . This book was released on 1976 with total page 1002 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book PETSc for Partial Differential Equations Numerical Solutions in C and Python written by Ed Bueler and published by SIAM. This book was released on 2020-10-22 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Portable, Extensible Toolkit for Scientific Computation (PETSc) is an open-source library of advanced data structures and methods for solving linear and nonlinear equations and for managing discretizations. This book uses these modern numerical tools to demonstrate how to solve nonlinear partial differential equations (PDEs) in parallel. It starts from key mathematical concepts, such as Krylov space methods, preconditioning, multigrid, and Newton’s method. In PETSc these components are composed at run time into fast solvers. Discretizations are introduced from the beginning, with an emphasis on finite difference and finite element methodologies. The example C programs of the first 12 chapters, listed on the inside front cover, solve (mostly) elliptic and parabolic PDE problems. Discretization leads to large, sparse, and generally nonlinear systems of algebraic equations. For such problems, mathematical solver concepts are explained and illustrated through the examples, with sufficient context to speed further development. PETSc for Partial Differential Equations addresses both discretizations and fast solvers for PDEs, emphasizing practice more than theory. Well-structured examples lead to run-time choices that result in high solver performance and parallel scalability. The last two chapters build on the reader’s understanding of fast solver concepts when applying the Firedrake Python finite element solver library. This textbook, the first to cover PETSc programming for nonlinear PDEs, provides an on-ramp for graduate students and researchers to a major area of high-performance computing for science and engineering. It is suitable as a supplement for courses in scientific computing or numerical methods for differential equations.