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Efficient computation of the Zassenhaus formula
Efficient computation Zassenhaus formula Mathematical Physics
2012/4/2
A new recursive procedure to compute the Zassenhaus formula up to high order is presented, providing each exponent in the factorization directly as a linear combination of independent commutators and ...
Direct and Inverse Computation of Jacobi Matrices of Infinite Homogeneous Affine I.F.S
Jacobi Matrices Orthogonal Polynomials Singular Continuous Measures Iterated Function Systems Gaussian–I.F.S. Quadratures
2011/6/24
Abstract: We introduce a new set of algorithms to compute Jacobi matrices associated with measures generated by infinite systems of iterated functions. We demonstrate their relevance in the study of t...
The expansion in ultraspherical polynomials: a simple procedure for the fast computation of the ultraspherical coefficients
Ultraspherical expansions Gegenbauer coefficients Abel transform
2011/6/23
Abstract: We present a simple and fast algorithm for the computation of the coefficients of the expansion of a function f(cos u) in ultraspherical (Gegenbauer) polynomials. We prove that these coeffic...
An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices
Clifford algebra and Dirac matrices Field theories in higher dimensions Computer algebra
2011/6/8
An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices.
A new and efficient method for the computation of Legendre coefficients
Legendre coefficients Fourier coefficients Abel transform
2011/6/2
Abstract: An efficient procedure for the computation of the coefficients of Legendre expansions is here presented. We prove that the Legendre coefficients associated with a function f(x) can be repres...
A Maple Package on Symbolic Computation of Conserved
Densities for (1+1)-Dimensional Nonlinear Evolution Systems
conservation laws nonlinear evolution systems computer algebra
2007/8/15
2007Vol.47No.6pp.961-968DOI:
A Maple Package on Symbolic Computation of Conserved
Densities for (1+1)-Dimensional Nonlinear Evolution Systems
YANG Xu-Dong,1 RUAN Hang-Yu,1 and LOU...
Symbolic Computation of Extended Jacobian Elliptic
Function Algorithm for Nonlinear Differential-Different Equations
integrable discrete nonlinear Schrö dinger equation extended Jacobian elliptic
function expansion approach doubly-periodic wave solutions solitonic
solutions singly-periodic wave solutions
2007/8/15
2005Vol.43No.3pp.471-478DOI:
Symbolic Computation of Extended Jacobian Elliptic
Function Algorithm for Nonlinear Differential-Different Equations
DAI Chao-Qing, MENG Jian-Ping, an...