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Numerical Algorithms

Numerical Algorithms OnlineFirst articles

08.05.2021 | Original Paper

Gauss–Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix

This paper is concerned with the approximation of matrix functionals of the form wTf(A)v, where A ∈ ℝ n × n $A\in \mathbb {R}^{n\times n}$ is a large nonsymmetric matrix, w , v ∈ ℝ n $\boldsymbol {w},\boldsymbol {v}\in \mathbb {R}^{n}$ , and f is …

08.05.2021 | Original Paper

A persistent adjoint method with dynamic time-scaling and an application to mass action kinetics

In this article, we consider an optimization problem where the objective function is evaluated at the fixed-point of a contraction mapping parameterized by a control variable, and optimization takes place over this control variable. Since the …

06.05.2021 | Original Paper

A subgradient proximal method for solving a class of monotone multivalued variational inequality problems

It is well known that the algorithms with using a proximal operator can be not convergent for monotone variational inequality problems in the general case. Malitsky (Optim. Methods Softw. 33 (1) 140–164, ??) proposed a proximal extrapolated …

01.05.2021 | Original Paper

Relationship between time-instant number and precision of ZeaD formulas with proofs

Recently, zeroing dynamics (ZD) method has shown wonderful effect in solving time-varying problems. Generally, the continuous-time ZD model should be discretized as a discrete-time algorithm for numerical computation. A good choice is to apply …

01.05.2021 | Original Paper

Numerical blow-up analysis of the explicit L1-scheme for fractional ordinary differential equations

This paper deals with the blow-up behavior of numerical solutions to nonlinear fractional ordinary differential equations with a dissipative term. Based on the positivity preservation of the explicit L1-scheme, it is shown that for sufficiently …

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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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