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BIT Numerical Mathematics

BIT Numerical Mathematics OnlineFirst articles

07.10.2021 Open Access

Numerical differentiation on scattered data through multivariate polynomial interpolation

We discuss a pointwise numerical differentiation formula on multivariate scattered data, based on the coefficients of local polynomial interpolation at Discrete Leja Points, written in Taylor’s formula monomial basis. Error bounds for the …


Embedded exponential-type low-regularity integrators for KdV equation under rough data

In this paper, we introduce a novel class of embedded exponential-type low-regularity integrators (ELRIs) for solving the KdV equation and establish their optimal convergence results under rough initial data. The schemes are explicit and efficient …

14.09.2021 Open Access

Error estimates of the backward Euler–Maruyama method for multi-valued stochastic differential equations

In this paper we derive error estimates of the backward Euler–Maruyama method applied to multi-valued stochastic differential equations. An important example of such an equation is a stochastic gradient flow whose associated potential is not …

14.09.2021 Open Access

A systematic approach to reduced GLT

This paper concerns the spectral analysis of matrix-sequences that are generated by the discretization and numerical approximation of partial differential equations, in case the domain is a generic Peano–Jordan measurable set. It is observed that …


Positivity-preserving symplectic methods for the stochastic Lotka–Volterra predator-prey model

In this paper, positivity-preserving symplectic numerical approximations are investigated for the 2d-dimensional stochastic Lotka–Volterra predator-prey model driven by multiplicative noises, which plays an important role in ecosystem. The model …

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BIT was started by Carl Erik Fröberg in 1961. The name is an acronym for "Tidskrift för Informationsbehandling" read backwards. From the outset, a wide area of computer science and technology was covered, but since 1992 the focus has been on Numerical Mathematics.

1961-1992 Carl Erik Fröberg
1993-2002 Åke Björck
2003-2015 Axel Ruhe† (Axel passed away suddenly on April 4, 2015)
2015 to present Lars Eldén

BIT foundation, Lund, Sweden

Appointed by the Academies of (Engineering) sciences in the Nordic Countries for three year periods.

The members from 2016 are:
Olavi Nevanlinna, Aalto University, appointed by STA, Suomalainen Tiedakatemia, Finland, (Chairman)
Allan Peter Engsig-Karup, Technical University of Denmark, appointed by ATV, Akademiet for de Tekniske Videnskaber, Denmark
Bo Kågström, Umeå University, appointed by IVA, Kungliga Ingenjörsvetenskapsakademien, Sweden
Tom Lyche, University of Oslo, appointed by DNVA, Det Norske Videnskaps-Akademi, Norway
Lars Eldén, Linköping University

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BIT publishes original research papers in the rapidly developing field of numerical analysis. The essential areas covered by BIT are development and analysis of numerical methods as well as the design and use of algorithms for scientific computing. Topics emphasized by BIT include numerical methods in approximation, linear algebra, and ordinary and partial differential equations, but BIT also publishes papers in areas such as numerical functional analysis and numerical optimization.

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