Review of symbolic software for Lie symmetry analysis

W Hereman - Mathematical and Computer Modelling, 1997 - Elsevier
Review of Symbolic Software for Lie Symmetry Analysis Page 1 Pergamon Mathl. Comput.
Modelling Vol. 25, No. 819, pp. 115-132, 1997 Copyright@1997 Elsevier Science Ltd Printed in …

Differential invariant algebras of Lie pseudo-groups

PJ Olver, J Pohjanpelto - Advances in Mathematics, 2009 - Elsevier
The aim of this paper is to describe, in as much detail as possible and constructively, the
structure of the algebra of differential invariants of a Lie pseudo-group acting on the …

The theory of involutive divisions and an application to Hilbert function computations

J Apel - Journal of Symbolic Computation, 1998 - Elsevier
Generalising the divisibility relation of terms we introduce the lattice of so-called involutive
divisions and define the admissibility of such an involutive division for a given set of terms …

Involution and constrained dynamics. I. The Dirac approach

WM Seiler, RW Tucker - Journal of Physics A: Mathematical and …, 1995 - iopscience.iop.org
We study the theory of systems with constraints from the point of view of the formal theory of
partial differential equations. For finite-dimensional systems we show that the Dirac …

[PS][PS] Analysis and application of the formal theory of partial differential equations

WM Seiler - 1994 - mathematik.uni-kassel.de
An introduction to the formal theory of partial di erential equations is given emphasizing the
properties of involutive symbols and equations. An algorithm to complete any di erential …

The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations

W Sarlet, M Crampin, E Martinez - Acta Applicandae Mathematica, 1998 - Springer
A novel approach to a coordinate-free analysis of the multiplier question in the
inverseproblem of the calculus of variations, initiated in a previous publication, is completed …

[PDF][PDF] Counting solutions of differential equations

M Lange-Hegermann - 2014 - publications.rwth-aachen.de
The aim of this thesis is a quantitative analysis of the set of solutions of a system of
differential equations. For this aim, this thesis generalizes the differential dimension …

SmartRevoc: An efficient and privacy preserving revocation system using parked vehicles

D Eckhoff, F Dressler, C Sommer - 38th Annual IEEE …, 2013 - ieeexplore.ieee.org
Security and privacy requirements in vehicular networks are typically addressed using a
Public Key Infrastructure (PKI) and pools of pseudonymous certificates for each vehicle …

Involution and constrained dynamics. II. The Faddeev-Jackiw approach

WM Seiler - Journal of Physics A: Mathematical and General, 1995 - iopscience.iop.org
For pt. I see Seiler et al., ibid., vol. 28., p. 4431 (1995). We study the symplectic approach to
first-order systems with constraints from the point of view of the formal theory of differential …

Indices and Solvability for General Systems of Differential Equations: (Invited Talk)

WM Seiler - Computer Algebra in Scientific Computing CASC'99 …, 1999 - Springer
We consider general systems of ordinary and partial differential equations from a geometric
point of view. This leads to simple interpretations of various index concepts introduced for …