Results 31 to 40 of about 243,415 (192)
An algebraic Birkhoff decomposition for the continuous renormalization group
, 2004 This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer.
Brouder C. +17 more
core +2 more sources
Degree of the divisor of solutions of a differential equation on a projective variety [PDF]
, 1999 Using the data schemes developed by Arrondo-Sols-Speiser, we give a rigorous definition of algebraic differential equations on the complex projective space $P^n$.
Muñoz, Vicente, Sols, Ignacio
core +3 more sources
Algebraic and differential Rainich conditions for symmetric trace-free tensors of higher rank [PDF]
, 2004 We study Rainich-like conditions for symmetric and trace-free tensors T. For arbitrary even rank we find a necessary and sufficient differential condition for a tensor to satisfy the source free field equation.
Bergqvist, G., Lankinen, P.
core +1 more source
LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS [PDF]
Modern Physics Letters A, 1995 A certain representation for the Heisenberg algebra in finite difference operators is established. The Lie algebraic procedure of discretization of differential equations with isospectral property is proposed. Using sl 2-algebra based approach, (quasi)-exactly-solvable finite difference equations are described.
Yuri F. Smirnov, Alexander V. Turbiner
openaire +3 more sources
Tautological systems and free divisors [PDF]
, 2019 We introduce tautological system defined by prehomogenous actions of reductive algebraic groups. If the complement of the open orbit is a linear free divisor satisfying a certain finiteness condition, we show that these systems underly mixed Hodge ...
Macarro, Luis Narváez +1 more
core +2 more sources
On algebraic integrals of a differential equation
Discrete and Continuous Models and Applied Computational Science, 2019 We consider the problem of integrating a given differential equation in algebraic functions, which arose together with the integral calculus, but still is not completely resolved in finite form. The difficulties that modern systems of computer algebra face in solving it are examined using Maple as an example.
Yu Ying +2 more
openaire +4 more sources
, 2013 Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second order differential equation.
Akcay, Huseyin, Sever, Ramazan
core +1 more source
Formal Paths, Iterated Integrals and the Center Problem for Ordinary Differential Equations [PDF]
, 2007 We continue the study of the center problem for the ordinary differential equation $v'=\sum_{i=1}^{\infty}a_{i}(x)v^{i+1}$ started in our earlier papers.
Brudnyi, Alexander
core +2 more sources
Algebraic treatment of the Pais-Uhlenbeck oscillator and its PT-variant
, 2019 The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian through the mathematical properties of a matrix representation called regular or adjoint.
Fernández, Francisco M.
core +1 more source
Permutable entire functions satisfying algebraic differential equations
, 2005 It is shown that if two transcendental entire functions permute, and if one of them satisfies an algebraic differential equation, then so does the other one.Comment: 5 ...
A E Eremenko +21 more
core +2 more sources