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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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A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws
We propose a numerical method to solve parameter-dependent scalar hyperbolic partial differential equations (PDEs) with a moment approach, based on a...
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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 note on Cline’s formula for some generalized inverses in a ring
In this note, we generalize Cline’s formula for some new generalized inverses such as strong Drazin inverse, generalized strong Drazin inverse,...
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Tchakaloff-like compression of QMC volume and surface integration on the union of balls
We present an algorithm for Tchakaloff-like compression of quasi-Monte Carlo volume and surface integration on an arbitrary union of balls, via...
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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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Approximation of bivariate Lipschitz continuous functions by hidden variable fractal functions
The crux of the present paper is approximation of bivariate Lipschitz continuous functions by hidden variable fractal functions. We propose the...