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Basic Principles of Classical Mechanics
To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different principles - laws of motion. In...
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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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A strongly convergent algorithm for solving split equality problems beyond monotonicity
In this paper, we focus on some split inverse problems, namely the split equality variational inequalities and common fixed point problems, and...
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Second order necessary condition for a strong minimum in the classical problem of calculus of variations
The paper offers a second order necessary condition for a strong minimum in the standard problem of calculus of variations. No idea of such a result...
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A strong form of the quantitative Wulff inequality for crystalline norms
Quantitative stability for crystalline anisotropic perimeters, with control on the oscillation of the boundary with respect to the corresponding...
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A second-order convergent nonconforming polynomial stokes element on quadrilateral meshes
In this paper, we construct a new mixed finite element for the Stokes problem on general convex quadrilateral partitions. The velocity is...
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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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On convergence of a sketch-and-project method for the matrix equation \(AXB=C\)
In this paper, based on Lagrangian functions of the optimization problem we develop a sketch-and-project method for solving the linear matrix...
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Complex dynamic behaviour on fractional predator–prey model of mathematical ecology
In this paper, we present a mathematical predator–prey model in which the predator population is divided into two stages: mature (adult) stage and...
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Superconvergence Analysis of a Robust Orthogonal Gauss Collocation Method for 2D Fourth-Order Subdiffusion Equations
In this paper, we study the orthogonal Gauss collocation method (OGCM) with an arbitrary polynomial degree for the numerical solution of a...
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Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels
The aim of this paper is to implement the high-order local discontinuous Galerkin method (LDGM) for solving partial integro-differential equations...
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Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws
Particle methods based on evolving the spatial derivatives of the solution were originally introduced to simulate reaction-diffusion processes,...
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Two inertial hybrid projection algorithms for solving a class of split common solution problems
In this paper, we introduce two new inertial hybrid projection algorithms for solving the split common solution problem with multiple output sets. We...
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Weakly Compressible Two-Layer Shallow-Water Flows Along Channels
In this paper, we formulate a model for weakly compressible two-layer shallow water flows with friction in general channels. The formulated model is...
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On the Connected Blocks Polytope
In this paper, we study the connected blocks polytope, which, apart from its own merits, can be seen as the generalization of certain connectivity...
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An efficient algorithm for solving the variable-order time-fractional generalized Burgers’ equation
A numerical scheme based on the Haar wavelets coupled with the nonstandard finite difference scheme is presented to solve the variable-order...
