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Workflow for predictor–corrector simulations of in-flight ice accretion, with applications on swept wings
A workflow for the numerical prediction of in-flight ice accretion on 3D structures is presented. The method is based on the predictor–corrector...
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A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation
A second-order predictor-corrector method of Nguyen and Jang (Fract. Calc. Appl. Anal. 20 (2), 447–476,
2017 ) is generalised to graded meshes to solve... -
On the Complexity of a Linear Programming Predictor-Corrector Algorithm Using the Two Norm Neighborhood
In this work the complexity of a feasible variant of a Linear Programming Predictor-Corrector algorithm specialized for transportation and assignment... -
Improved Predictor-Corrector Algorithm
The differential geometric least angle regression method consists essentially in computing the solution path. In Augugliaro et al. [4], this problem... -
A quasi-monolithic phase-field description for mixed-mode fracture using predictor–corrector mesh adaptivity
In this work, we develop a mixed-mode phase-field fracture model employing a parallel-adaptive quasi-monolithic framework. In nature, failure of...
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A parallel ETD algorithm for large-scale rate theory simulation
Rate theory (RT) is a commonly used method to simulate the evolution of material defects. A promising numerical method, exponential time difference...
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A predictor–corrector scheme for the tempered fractional differential equations with uniform and non-uniform meshes
Tempered fractional derivatives and the corresponding tempered fractional differential equations have played a key role in physical science. In this...
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Detection and correction of silent errors in the conjugate gradient algorithm
We propose a new way to detect and correct silent errors in the conjugate gradient algorithm. The detection criterion is simple, cheap to implement,...
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An efficient optimization algorithm for nonlinear 2D fractional optimal control problems
In this research article, we present an optimization algorithm aimed at finding the optimal solution for nonlinear 2-dimensional fractional optimal...
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Multi-constrained intelligent gliding guidance via optimal control and DQN
In order to improve the adaptability and robustness of gliding guidance under complex environments and multiple constraints, this study proposes an...
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An arc-search predictor-corrector infeasible-interior-point algorithm for P∗(κ)-SCLCPs
In this paper, we propose a new arc-search predictor-corrector infeasible-interior-point algorithm for linear complementarity problems over symmetric...
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Exploring a novel facial animation technique using numerical traced algorithm
Facial animation is a fundamental challenge that requires mathematical and computational strategies. In this paper, a novel facial animation...
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Modified iterated Crank-Nicolson method with improved accuracy for advection equations
The iterated Crank-Nicolson (ICN) method is a successful numerical algorithm for solving partial differential equations. When unequal weights are...
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Parallel Algorithm for Incompressible Flow Simulation Based on the LS-STAG and Domain Decomposition Methods
The problem of incompressible flow simulation around rigid bodies of arbitrary shape is considered. The LS-STAG immersed boundary method is used for... -
Efficient high-order exponential time differencing methods for nonlinear fractional differential models
Exponential integrators, due to their robust stability properties, have been considered as reliable schemes for numerical solutions of stiff systems....
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Numerical solution of nonlinear delay differential equations of fractional variable-order using a novel shifted Jacobi operational matrix
This paper presents the generalized nonlinear delay differential equations of fractional variable-order. In this article, a novel shifted Jacobi...
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A novel color image encryption algorithm based on the fractional order laser chaotic system and the DNA mutation principle
A novel color image encryption algorithm based on the fractional order laser chaotic system and DNA mutation principle is proposed in this paper....
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Score-Based Generative Models for Medical Image Segmentation Using Signed Distance Functions
Medical image segmentation is a crucial task that relies on the ability to accurately identify and isolate regions of interest in medical images.... -
GParareal: a time-parallel ODE solver using Gaussian process emulation
Sequential numerical methods for integrating initial value problems (IVPs) can be prohibitively expensive when high numerical accuracy is required...
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Speech Enhancement with Generative Diffusion Models
AbstractAn alternative approach to speech denoising using generative diffusion models that model the distribution of training data is proposed. In...