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Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations
In this paper, high-order finite difference methods are proposed to solve the initial-boundary value problem for one- and two-dimensional Riesz space...
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Flexible deterministic compressive measurement matrix based on two finite fields
The rapid development of information technology puts forward new demands for signal sampling technology. Compressed sensing is a novel signal...
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A multipoint flux mixed finite element method with mass-conservative characteristic finite element method for incompressible miscible displacement problem
In this paper, we consider a decoupled and mass-conservative numerical scheme for the incompressible miscible displacement problem in porous media by...
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2D Finite Element Simulation of Steady-State Groundwater Flow Using MATLAB
In this paper, we try to obtain a numerical solution for finite element which is formulated for steady-state groundwater flow discretized by using...
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Surrogate models for the damage responses of a reinforced concrete beam under explosive charges utilizing coupled finite element–stochastic methods
Numerical evaluation of experimental test in which reinforced concrete beam is subjected to TNT explosions is the subject of the paper. Prediction of...
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Probabilistic Guarantees of Stochastic Recursive Gradient in Non-convex Finite Sum Problems
This paper develops a new dimension-free Azuma-Hoeffding type bound on summation norm of a martingale difference sequence with random individual...
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A stable second-order difference scheme for the generalized time-fractional non-Fickian delay reaction-diffusion equations
In this paper, we construct a stable finite difference scheme for the generalized non-Fickian time-fractional reaction-diffusion equations with time...
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Continuation Newton methods with deflation techniques for global optimization problems
The global minimum point of an optimization problem is of interest in engineering fields and it is difficult to solve, especially for a nonconvex...
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Space–time enriched finite elements for elastodynamic wave propagation
This article investigates a generalised finite-element method for time-dependent elastic wave propagation, based on plane-wave enrichments of the...
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NeuFENet: neural finite element solutions with theoretical bounds for parametric PDEs
We consider a mesh-based approach for training a neural network to produce field predictions of solutions to parametric partial differential...
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Special directions on the finite affine plane
In this paper we study the number of special directions of sets of cardinality divisible by p on a finite plane of order p , where p is a prime. We...
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Several constructions of optimal LCD codes over small finite fields
Linear complementary dual (LCD) codes are linear codes which intersect their dual codes trivially, which have been of interest and extensively...
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RBF-FD based some implicit-explicit methods for pricing option under regime-switching jump-diffusion model with variable coefficients
In this manuscript, we introduced the radial basis function based three implicit-explicit (IMEX) finite difference techniques for pricing European...
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Moving mesh method with variational multiscale finite element method for convection–diffusion–reaction equations
The solutions tend to have large gradients, discontinuities, or sharp layers for convection-dominated convection–diffusion–reaction equations. Many...
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A proper orthogonal decomposition-compact difference algorithm for plate vibration models
In this article, we propose a proper orthogonal decomposition-compact difference scheme (POD-CDS) for the displacement-stress form of a simply...
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CD-iNet: Deep Invertible Network for Perceptual Image Color Difference Measurement
Image color difference (CD) measurement, a crucial concept in color science and imaging technology, aims to quantify the perceived difference between...
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Characterizations and constructions of plateaued functions on finite abelian groups
Plateaued functions have been studied in many papers. They can be candidates for designing cryptographic functions and have been used to construct...
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Multigrid methods for time fractional conservation laws
For solving the time fractional conservation laws with discontinuous solutions such as shock waves, current feasible methods are the implicit...
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Linear programming-based solution methods for constrained partially observable Markov decision processes
Constrained partially observable Markov decision processes (CPOMDPs) have been used to model various real-world phenomena. However, they are...
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qRLS: quantum relaxation for linear systems in finite element analysis
Quantum linear system algorithms (QLSAs) for gate-based quantum computing can provide exponential speedups for solving linear systems but face...
