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Isotropic evolution process with Gauss-distributed particle position in ℝd
In this work, we study an isotropic random motion of a particle whose velocity has the Maxwell–Boltzmann distribution. We give some specific results...
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Particle Swarm Optimization
In this chapter, the description of the method called Particle Swarm Optimization (PSO) is presented, including a brief history, the algorithm, and...
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Particle Collision Algorithm
In this chapter, the method called Particle Collision Algorithm (PCA) is presented, including a brief history, the algorithm, and its application to...
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Parallelization strategies for resolved simulations of fluid-structure-particle interactions
Fluid-structure-particle interactions in three spatial dimensions happen in many environmental and engineering flows. This paper presents the...
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Hyperplane and Particle Processes
As we want to consider random hyperplane processes and the systems of polytopes in the tessellations they induce, we shall need random processes of...
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Auxiliary particle filtering with lookahead support for univariate state space models
An essential type of Bayesian recursive filters known as the sequential Monte Carlo (alias, the particle filter) is used to estimate hidden Markov...
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Efficiently Realized Approximate Models of Random Functions in Stochastic Problems of the Theory of Particle Transfer
AbstractThe paper presents efficiently realized approximations of random functions, which have been developed by the authors and are numerically...
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Study of Superexponential Growth of the Mean Particle Flux by Monte Carlo Method
AbstractA comparative analysis of two algorithms (“by particles” and “by collisions”) for estimation of the weighted mean particle flux is made on...
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Particle Filtering and Estimation
This chapter introduces an algorithm called particle filtering used for the inference of the most likely sample path of a hidden process driving...
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Gaussian process hydrodynamics
We present a Gaussian process (GP) approach, called Gaussian process hydrodynamics (GPH) for approximating the solution to the Euler and...
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Unsteady Concentration Field of a Reacting Gas in the Vicinity of a Burning Coal Particle
AbstractThe article deals with a boundary value problem of mathematical physics describing the unsteady process of diffusion of a reacting gas in the...
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Branching Particle Systems
Branching particle systems arise from applications in a number of subjects. Typical examples of those systems are biological populations in isolated...
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Variable stiffness tuned particle dampers for vibration control of cantilever boring bars
This research proposes a novel type of variable stiffness tuned particle damper (TPD) for reducing vibrations in boring bars. The TPD integrates the...
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Performing Particle Image Segmentation on an Extremely Small Dataset
Image segmentation is one of the typical computer vision tasks that has received great success with the recent advance of deep-learning methods....
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Invariant measures for the strong-facilitated exclusion process
Consider a generalized model of the facilitated exclusion process, which is a one-dimensional exclusion process with a dynamical constraint that...
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Inferring Stochastic Rates from Heterogeneous Snapshots of Particle Positions
Many imaging techniques for biological systems—like fixation of cells coupled with fluorescence microscopy—provide sharp spatial resolution in...
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Investigation of Overexponential Growth of Mean Particle Flux with Multiplication in Random Medium
AbstractA new correlative-grid approximation for a homogeneous isotropic random field of density is introduced for effective numerical-analytical...
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Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium
AbstractA new correlative-grid approximation of a homogeneous random field is introduced for an effective numerical-analytical investigation of the...
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On the Global Convergence of Particle Swarm Optimization Methods
In this paper we provide a rigorous convergence analysis for the renowned particle swarm optimization method by using tools from stochastic calculus...
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Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow
We present a novel computational framework for the simulation of rigid spherical Janus particle suspensions in Stokes flow. For a wide array of Janus...