Group Theory and Numerical Analysis
American Mathematical Soc. - Mathematics - 298 pages
The Workshop on Group Theory and Numerical Analysis brought together scientists working in several different but related areas. The unifying theme was the application of group theory and geometrical methods to the solution of differential and difference equations. The emphasis was on the combination of analytical and numerical methods and also the use of symbolic computation. This meeting was organized under the auspices of the Centre de Recherches Mathematiques, Universite de Montreal (Canada). This volume has the character of a monograph and should represent a useful reference book for scientists working in this highly topical field.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Symbolic Algorithms for the Painlevé Test Special Solutions and Recursion
Continuum Limit of Lattice Approximation Schemes
Algebraic Structures on Ordered Rooted Trees and Their Signiﬁcance to
Aspects of Generalized DoubleBracket Flows
Two NonLiouvillian Approaches
Comparison of Symmetry Preserving Difference Schemes with Standard
Symbolic Computation of Polynomials Conserved Densities Generalized
On the Numerical Analysis of Rapid Oscillation
On Conservation Properties of Semidiscrete Canonical Hamiltonian Equations
Discrete Lie Symmetries for Difference Equations
Towards a Variational Complex for the Finite Element Method
Models of Resonantly Driven Motion of Motor Proteins in 2D Potentials
Determination of Approximate Symmetries of Differential Equations
Discrete and Finite Fractional Fourier Transform
Explicit Multipoint Rational Interpolation Padé Table for Exponential
algorithms applied approach approximation arbitrary CEDCT coefficients commutator-free computation conservation laws constant continued fraction continuous corresponding CRM Proceedings deﬁned Deﬁnition denote densities derivative difference equations dimensional dimensions discrete symmetries E-mail address equivalent error Euler—Lagrange exact solution example exponential ﬁeld theory ﬁnal form ﬁnd ﬁnite ﬁrst ﬂows function geometric given grid Hermite polynomials highly oscillatory Hopf algebras inﬁnitesimal integration interpolation invariant involutive involutive system Iserles kinesin Krawtchouk polynomials Lagrangian lattice Lie algebra Lie group Lie symmetries linear ODE Math Mathematics Subject Classiﬁcation matrix motor protein nonlinear obtain ordinary differential equations oscillator Padé Padé approximants Painlevé equation parameter PDEs Phys polynomials potential problem projection pseudo-rigid body quadrature rank rational solutions recursion operator satisﬁes scheme Section semidiscrete singular SL(n SO(n solve space structure symbolic symplectic Theorem tion values variables variational complex vector ﬁeld zero
Page 265 - Wittkopf and A. Boulton, Reduction of systems of nonlinear partial differential equations to simplified involutive forms, Eur.