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Implicit–explicit two–step peer methods with RK stability for implicit part
We develop a new family of implicit–explicit (IMEX) schemes appropriate for dealing with the systems of differential equations including two...
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Hulls of cyclic codes with respect to the regular permutation inner product
In this paper, we introduce regular permutation inner products which contain the Euclidean inner product. And we generalize some properties of the...
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Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils
The numerical solution of the generalized eigenvalue problem for a singular matrix pencil is challenging due to the discontinuity of its eigenvalues....
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An innovative fourth-order numerical scheme with error analysis for Lane-Emden-Fowler type systems
In this paper, we develop a novel higher-order compact finite difference scheme for solving systems of Lane-Emden-Fowler type equations. Our method...
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A robust second-order low-rank BUG integrator based on the midpoint rule
Dynamical low-rank approximation has become a valuable tool to perform an on-the-fly model order reduction for prohibitively large matrix...
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Explicit constructions of NMDS self-dual codes
Near maximum distance separable (NMDS) codes are important in finite geometry and coding theory. Self-dual codes are closely related to...
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Unconditional energy stability and maximum principle preserving scheme for the Allen-Cahn equation
In this paper, we propose a novel fully implicit numerical scheme that satisfies both nonlinear energy stability and maximum principle for the space...
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Weak convergence of tamed exponential integrators for stochastic differential equations
We prove weak convergence of order one for a class of exponential based integrators for SDEs with non-globally Lipschitz drift. Our analysis covers...
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Fractional Legendre wavelet approach resolving multi-scale optimal control problems involving Caputo-Fabrizio derivative
This article provides an effective numerical approach using the fractional integral operational matrix method for a fractional Legendre wavelet to...
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Unconditionally positivity-preserving approximations of the Aït-Sahalia type model: Explicit Milstein-type schemes
The present article aims to design and analyze efficient first-order strong schemes for a generalized Aït-Sahalia type model arising in mathematical...
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Error analysis of a high-order fully discrete method for two-dimensional time-fractional convection-diffusion equations exhibiting weak initial singularity
This study presents a novel high-order numerical method designed for solving the two-dimensional time-fractional convection-diffusion (TFCD)...
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Construction of high order numerical methods for solving fourth order nonlinear boundary value problems
In this paper, we construct numerical methods of fourth, sixth and eighth orders convergence for solving fully fourth order nonlinear differential...
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An Uzawa-DOS method for solving saddle-point problems
Based on the diagonal and off-diagonal splitting (DOS) iteration scheme (Dehghan et al. Filomat 31 (5), 1441–1452
2017 ), we offer an iteration... -
Inertial randomized Kaczmarz algorithms for solving coherent linear systems
In this paper, by regarding the two-subspace Kaczmarz method as an alternated inertial randomized Kaczmarz algorithm we present a better convergence...
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Vectorial negabent concepts: similarities, differences, and generalizations
In Pasalic et al. (IEEE Trans Inf Theory 69:2702–2712, 2023), and in Anbar and Meidl (Cryptogr Commun 10:235–249, 2018), two different vectorial...
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Caputo fractional derivative of \(\alpha \)-fractal spline
The Caputo fractional derivative of a real continuous function g distinguishes from the other fractional derivative methods with the demand for the...
