AbstractThe main objective of this work is the implementation of recursive formulas allowing the integration of a high order polynomial expression on the unit sphere. These formulas facilitate the evaluation of very complex computations. The proofs of the formulas are based on mathematical induction as well as the divergence theorem
AbstractThis paper deals with the numerical calculation of integrals over the unit circle in the com...
AbstractRecently, the 7-sphere S7 has been the subject of increased interest for mathematicians and ...
In this work, recursive formulas facilitating the computation of very complex tensor integrals over ...
AbstractIn this work, recursive formulas facilitating the computation of very complex tensor integra...
AbstractFully symmetric interpolatory integration rules are constructed for multidimensional integra...
AbstractThe main objective of this work is the implementation of recursive formulas allowing the int...
AbstractWe present an algorithm for automatic integration over an N-dimensional sphere. The quadratu...
AbstractLet q⩾1 be an integer, Sq be the unit sphere embedded in Rq+1, and μq be the volume element ...
This chapter is concerned with numerical integration over the unit sphere S2 ⊂ ℝ;3. We first discuss...
Let PN(R) be the space of all real polynomials in N variables with the usual inner product \u3c , \u...
AbstractLet r≥2, let Sr be the unit sphere in Rr+1, and let C(z;γ):={x∈Sr:x⋅z≥cosγ} be the spherical...
AbstractWe examine the method of Cartesian product to construct cubature formulae on the unit sphere...
AbstractIn this paper we consider a simple method of radial quasi-interpolation by polynomials on S2...
AbstractWe construct interpolatory cubature rules on the two-dimensional sphere, using the fundament...
Many applications in geomathematics as well as bio-medical applications require the analysis of an u...
AbstractThis paper deals with the numerical calculation of integrals over the unit circle in the com...
AbstractRecently, the 7-sphere S7 has been the subject of increased interest for mathematicians and ...
In this work, recursive formulas facilitating the computation of very complex tensor integrals over ...
AbstractIn this work, recursive formulas facilitating the computation of very complex tensor integra...
AbstractFully symmetric interpolatory integration rules are constructed for multidimensional integra...
AbstractThe main objective of this work is the implementation of recursive formulas allowing the int...
AbstractWe present an algorithm for automatic integration over an N-dimensional sphere. The quadratu...
AbstractLet q⩾1 be an integer, Sq be the unit sphere embedded in Rq+1, and μq be the volume element ...
This chapter is concerned with numerical integration over the unit sphere S2 ⊂ ℝ;3. We first discuss...
Let PN(R) be the space of all real polynomials in N variables with the usual inner product \u3c , \u...
AbstractLet r≥2, let Sr be the unit sphere in Rr+1, and let C(z;γ):={x∈Sr:x⋅z≥cosγ} be the spherical...
AbstractWe examine the method of Cartesian product to construct cubature formulae on the unit sphere...
AbstractIn this paper we consider a simple method of radial quasi-interpolation by polynomials on S2...
AbstractWe construct interpolatory cubature rules on the two-dimensional sphere, using the fundament...
Many applications in geomathematics as well as bio-medical applications require the analysis of an u...
AbstractThis paper deals with the numerical calculation of integrals over the unit circle in the com...
AbstractRecently, the 7-sphere S7 has been the subject of increased interest for mathematicians and ...
In this work, recursive formulas facilitating the computation of very complex tensor integrals over ...
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