Add to ORKGExact integral computation over a d-simplex in R n for products of powers of its barycentric coordinates is done in [9] by using mathematical induction and coordinate mappings. In this note we give a new proof using Laplace transformations without mathematical induction
International audienceConsider a superelliptic integral $I=\int P/(Q S^1/k ) dx$ with $\mathbbK =\ma...
We show that integrating a polynomial of degree t on an arbitrary simplex (with respect to Lebesgue ...
The integral ∫ F (r, r′, r - r′|) dr dr′ where r and r′ are N -dimensional position vectors can be t...
Exact integral computation over a d-simplex in R n for products of powers of its barycentric coordin...
In finite-element computations, one often needs to calculate integrals of products of powers of mono...
In finite-element computations, one often needs to calculate integrals of products of powers of mono...
In this paper, a ▫$(d+1)$▫-pencil lattice on a simplex in ▫${mathbb{R}}^d$▫ is studied. The lattice ...
Abstract. In this paper, a (d + 1)-pencil lattice on a simplex in Rd is studied. The lattice points ...
We study cubature formulas for d-dimensional integrals with an arbitrary symmetric weight function o...
Barycentric coordinates are well known and used in many applications. They are used for a position c...
AbstractIn this paper, we consider the problem of the approximation of the integral of a function f ...
AbstractWe extend a recent algorithm of Trager to a decision procedure for the indefinite integratio...
AbstractCubature formulae for evaluating integrals on the hypersphere in Rn for n⩾5 are obtained, wh...
AbstractAn algorithm is described which decides if a given polynomial differential expression Δ of m...
International audienceConsider a superelliptic integral $I=\int P/(Q S^1/k ) dx$ with $\mathbbK =\ma...
International audienceConsider a superelliptic integral $I=\int P/(Q S^1/k ) dx$ with $\mathbbK =\ma...
We show that integrating a polynomial of degree t on an arbitrary simplex (with respect to Lebesgue ...
The integral ∫ F (r, r′, r - r′|) dr dr′ where r and r′ are N -dimensional position vectors can be t...
Exact integral computation over a d-simplex in R n for products of powers of its barycentric coordin...
In finite-element computations, one often needs to calculate integrals of products of powers of mono...
In finite-element computations, one often needs to calculate integrals of products of powers of mono...
In this paper, a ▫$(d+1)$▫-pencil lattice on a simplex in ▫${mathbb{R}}^d$▫ is studied. The lattice ...
Abstract. In this paper, a (d + 1)-pencil lattice on a simplex in Rd is studied. The lattice points ...
We study cubature formulas for d-dimensional integrals with an arbitrary symmetric weight function o...
Barycentric coordinates are well known and used in many applications. They are used for a position c...
AbstractIn this paper, we consider the problem of the approximation of the integral of a function f ...
AbstractWe extend a recent algorithm of Trager to a decision procedure for the indefinite integratio...
AbstractCubature formulae for evaluating integrals on the hypersphere in Rn for n⩾5 are obtained, wh...
AbstractAn algorithm is described which decides if a given polynomial differential expression Δ of m...
International audienceConsider a superelliptic integral $I=\int P/(Q S^1/k ) dx$ with $\mathbbK =\ma...
International audienceConsider a superelliptic integral $I=\int P/(Q S^1/k ) dx$ with $\mathbbK =\ma...
We show that integrating a polynomial of degree t on an arbitrary simplex (with respect to Lebesgue ...
The integral ∫ F (r, r′, r - r′|) dr dr′ where r and r′ are N -dimensional position vectors can be t...