Add to ORKGAbstract: On the example of the Newton’s method of solving of non-linear equations and other similar problems the usage of the symbolic differentiation in the C++ programming language is demonstrated. The proposed approach is based on the metaprogramming of the C++ language, in particular, on expression templates. The problem of solving of a single equation with one variable, of a system of equations with multiple variables, the problem of finding of a minimum of an equation with multiple variables and other similar problems are considered.Note: Research direction:Programming, parallel computing, multimedi
In most existing software packages for the finite element method it is not possible to supply the we...
Engineering optimization problems may be formulated as nonlinear programs (NLP), defined by an objec...
Reflecting the fundamental role numeric and mixed symbolic-numeric arguments play in the analysis, d...
This paper contains the brief information about symbolic computation techniques. The location of sym...
Automatic dierentiation is a powerful technique for evaluating derivatives of functions given in the...
An example of a problem in the physical sciences is discussed where application of various symbolic ...
The combination of symbolic and numeric computation techniques leads to new approaches for problem-s...
In this paper we discuss systems developed to assist scientists and engineers to solve their problem...
Functions with densely interconnected expression graphs, which arise in computer graphics applicatio...
International audienceIn this article, we present a domain specific embedded language in C++ that ca...
Abstract: Numerical approaches of ordinary differential equations (ODEs) usually require Jacobian ev...
Full text of this paper is not available in the UHRAThis paper gives an introduction to a number of ...
In this paper we discuss systems developed to assist scientists and engineers to solve their problem...
In mathematics and computer algebra, automatic differentiation (AD) is a set of techniques to evalua...
New technologies in computer science applied to numerical computations open the door to alternative ...
In most existing software packages for the finite element method it is not possible to supply the we...
Engineering optimization problems may be formulated as nonlinear programs (NLP), defined by an objec...
Reflecting the fundamental role numeric and mixed symbolic-numeric arguments play in the analysis, d...
This paper contains the brief information about symbolic computation techniques. The location of sym...
Automatic dierentiation is a powerful technique for evaluating derivatives of functions given in the...
An example of a problem in the physical sciences is discussed where application of various symbolic ...
The combination of symbolic and numeric computation techniques leads to new approaches for problem-s...
In this paper we discuss systems developed to assist scientists and engineers to solve their problem...
Functions with densely interconnected expression graphs, which arise in computer graphics applicatio...
International audienceIn this article, we present a domain specific embedded language in C++ that ca...
Abstract: Numerical approaches of ordinary differential equations (ODEs) usually require Jacobian ev...
Full text of this paper is not available in the UHRAThis paper gives an introduction to a number of ...
In this paper we discuss systems developed to assist scientists and engineers to solve their problem...
In mathematics and computer algebra, automatic differentiation (AD) is a set of techniques to evalua...
New technologies in computer science applied to numerical computations open the door to alternative ...
In most existing software packages for the finite element method it is not possible to supply the we...
Engineering optimization problems may be formulated as nonlinear programs (NLP), defined by an objec...
Reflecting the fundamental role numeric and mixed symbolic-numeric arguments play in the analysis, d...