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Numerical Algorithms

Numerical Algorithms OnlineFirst articles

18.04.2019 | Original Paper

A direct discontinuous Galerkin finite element method for convection-dominated two-point boundary value problems

The direct discontinuous Galerkin (DDG) finite element method, using piecewise polynomials of degree k ≥ 1 on a Shishkin mesh, is applied to convection-dominated singularly perturbed two-point boundary value problems. Consistency, stability and …

15.04.2019 | Original Paper

Penalty variable sample size method for solving optimization problems with equality constraints in a form of mathematical expectation

Equality-constrained optimization problems with deterministic objective function and constraints in the form of mathematical expectation are considered. The constraints are approximated by employing the sample average where the sample size varies …

11.04.2019 | Original Paper

A tangential method for the balanced truncation in model reduction

In this paper, we present a new approach for large-scale Lyapunov matrix equations, where we present two algorithms named: Adaptive Block Tangential Lanczos-type and Arnoldi-type algorithms (ABTL and ABTA). This approach is based on the projection …

11.04.2019 | Original Paper Open Access

A Matlab software for approximate solution of 2D elliptic problems by means of the meshless Monte Carlo random walk method

This paper is devoted to the development of an innovative Matlab software, dedicated to the numerical analysis of two-dimensional elliptic problems, by means of the probabilistic approach. This approach combines features of the Monte Carlo random …

10.04.2019 | Original Paper

A new preconditioner for elliptic PDE-constrained optimization problems

We propose a preconditioner to accelerate the convergence of the GMRES iterative method for solving the system of linear equations obtained from discretize-then-optimize approach applied to optimal control problems constrained by a partial …

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The Numerical Algorithms journal offers high quality papers containing material not published elsewhere. The journal presents original and review papers on all aspects of numerical algorithms and numerical analysis: new algorithms, theoretical results, implementation, numerical stability, complexity, parallel computing, subroutines and applications, interpolation, approximation, quadrature, numerical linear algebra, differential equations (ordinary, partial, fractional), optimization, CAGD, integral equations, linear and nonlinear programming, variational inequalities, systems of nonlinear equations, software, etc. Papers on computer algebra related to obtaining numerical results are also included. Articles presenting new methods only based on numerical results and without any theoretical justification cannot be considered for publication.

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