Skip to main content


Numerical Algorithms

Numerical Algorithms OnlineFirst articles

02.06.2020 | Original Paper

A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions

In this paper, we develop an efficient spectral Galerkin method for the three-dimensional (3D) multi-term time-space fractional diffusion equation. Based on the L2-1σ formula for time stepping and the Legendre-Galerkin spectral method for space …

29.05.2020 | Original Paper

A two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems

In this paper, for solving horizontal linear complementarity problems, a two-step modulus-based matrix splitting iteration method is established. The convergence analysis of the proposed method is presented, including the case of accelerated …

28.05.2020 | Original Paper

Symplecticness conditions of some low order partitioned methods for non-autonomous Hamiltonian systems

We consider the application of partitioned Runge-Kutta (PRK) methods to non-autonomous Hamiltonian systems. Necessary and sufficient conditions for the symplecticness of PRK methods are given, more particularly for two low order PRK methods: the …

28.05.2020 | Original Paper

Leja, Fejér-Leja and ℜ-Leja sequences for Richardson iteration

We study Leja sequences on the unit disc and resulting mapped sequences to conventional domain, ellipses and real intervals, for the problem of relaxation of Richardson iteration. Using simple considerations, we establish upper and lower estimates …

27.05.2020 | Original Paper

On equivalence of three-parameter iterative methods for singular symmetric saddle-point problem

There have been a couple of papers for the solution of the nonsingular symmetric saddle-point problem using three-parameter iterative methods. In most of them, regions of convergence for the parameters are found, while in three of them, optimal …

Aktuelle Ausgaben

Über diese Zeitschrift

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.

Weitere Informationen

Premium Partner