Add to ORKGFrom interpolation formulas for the function of two arguments, general expressions for the double definite integral or mechanical cubature are derived. Various rules for the mechanical cubature can be formulated from these expressions, and they will be useful for practical evaluation of the double integral even when this is difficult or impossible to evaluate. The procedure can easily be extended to the evaluation of triple integral and so on.Article信州大学工学部紀要 4: 1-24 (1954)departmental bulletin pape
The paper presents a new method for the calculation of integrals of two-dimensional irregular hig...
In this paper we review some of the main known facts about cubature rules to approximate integrals o...
In this paper we review some of the main known facts about cubature rules to approximate integrals o...
From interpolation formulas for the function of two arguments, general expressions for the double de...
Stratified cubature rules are proposed to approximate double integrals defined on the real positive ...
Stratified cubature rules are proposed to approximate double integrals defined on the real positive ...
AbstractAn important quality criterion of cubature formulae is their algebraic or trigonometric degr...
Abstract. The purpose of this article is to discuss certain cubature formu-las for the approximation...
AbstractIn the univariate case, there is a well-developed theory on the error estimation of the quad...
AbstractIn this paper we give a method for construction of cubature formulas, for approximate calcul...
AbstractAbout 13 years ago we started collecting published cubature formulas for the approximation o...
AbstractThe method of constructing minimal cubature rules with high algebraic degrees of exactness i...
In this research we have used a compound method which is composed of Trapezoidal and Mid-Point Rules...
AbstractThe method of constructing minimal cubature rules with high algebraic degrees of exactness i...
AbstractIn the univariate case, there is a well-developed theory on the error estimation of the quad...
The paper presents a new method for the calculation of integrals of two-dimensional irregular hig...
In this paper we review some of the main known facts about cubature rules to approximate integrals o...
In this paper we review some of the main known facts about cubature rules to approximate integrals o...
From interpolation formulas for the function of two arguments, general expressions for the double de...
Stratified cubature rules are proposed to approximate double integrals defined on the real positive ...
Stratified cubature rules are proposed to approximate double integrals defined on the real positive ...
AbstractAn important quality criterion of cubature formulae is their algebraic or trigonometric degr...
Abstract. The purpose of this article is to discuss certain cubature formu-las for the approximation...
AbstractIn the univariate case, there is a well-developed theory on the error estimation of the quad...
AbstractIn this paper we give a method for construction of cubature formulas, for approximate calcul...
AbstractAbout 13 years ago we started collecting published cubature formulas for the approximation o...
AbstractThe method of constructing minimal cubature rules with high algebraic degrees of exactness i...
In this research we have used a compound method which is composed of Trapezoidal and Mid-Point Rules...
AbstractThe method of constructing minimal cubature rules with high algebraic degrees of exactness i...
AbstractIn the univariate case, there is a well-developed theory on the error estimation of the quad...
The paper presents a new method for the calculation of integrals of two-dimensional irregular hig...
In this paper we review some of the main known facts about cubature rules to approximate integrals o...
In this paper we review some of the main known facts about cubature rules to approximate integrals o...