An efficient adaptive algorithm for photon-electron coupled Boltzmann equation in radiation therapy [0.03%]
一种高效的光子-电子耦合 boltzmann 输运方程的自适应算法用于辐射治疗中的剂量计算研究
Xilin Zhang,Peiming Yin,Xue Hong et al.
Xilin Zhang et al.
In this paper, we propose an efficient adaptive algorithm for the photon-electron coupled Boltzmann equations in radiation therapy. The algorithm employs adaptive mesh technologies for both angular and spatial discretization and effectively...
On generalizing the induced surface charge method to heterogeneous Poisson-Boltzmann models for electrostatic free energy calculation [0.03%]
广义诱导表面电荷法在异构Poisson-Boltzmann模型静电自由能计算中的应用
Idowu Ijaodoro,Yuanzhen Shao,Emil Alexov et al.
Idowu Ijaodoro et al.
The induced surface charges (ISC) method, which computes the induced charges on the molecular surface of macromolecules and uses them via Coulomb's law to calculate the polar solvation energy, was shown to be a robust and almost grid indepe...
A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D [0.03%]
二维粘性流体中不可伸长的封闭膜的边界积分模拟方法研究
Shravan K Veerapaneni,Denis Gueyffier,Denis Zorin et al.
Shravan K Veerapaneni et al.
We present a new method for the evolution of inextensible vesicles immersed in a Stokesian fluid. We use a boundary integral formulation for the fluid that results in a set of nonlinear integro-differential equations for the vesicle dynamic...
Efficient multifidelity likelihood-free Bayesian inference with adaptive computational resource allocation [0.03%]
基于自适应计算资源分配的高效多保真度无似然贝叶斯推理方法
Thomas P Prescott,David J Warne,Ruth E Baker
Thomas P Prescott
Likelihood-free Bayesian inference algorithms are popular methods for inferring the parameters of complex stochastic models with intractable likelihoods. These algorithms characteristically rely heavily on repeated model simulations. Howeve...
An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure [0.03%]
一种考虑材料损伤和破坏的流固耦合浸没渐变力学模型
Keon Ho Kim,Amneet P S Bhalla,Boyce E Griffith
Keon Ho Kim
This paper develops and benchmarks an immersed peridynamics method to simulate the deformation, damage, and failure of hyperelastic materials within a fluid-structure interaction framework. The immersed peridynamics method describes an inco...
Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis [0.03%]
Allen-Cahn方程的分岔与摄动分析及其时间离散格式的稳定性和鲁棒性研究
Wenrui Hao,Sun Lee,Xiaofeng Xu et al.
Wenrui Hao et al.
The Allen-Cahn equation is a fundamental model for phase transitions, offering critical insights into the dynamics of interface evolution in various physical systems. This paper investigates the stability and robustness of frequently utiliz...
Physics-informed genetic programming for discovery of partial differential equations from scarce and noisy data [0.03%]
基于稀缺和噪声数据的物理信息基因编程偏微分方程发现方法
Benjamin G Cohen,Burcu Beykal,George Bollas
Benjamin G Cohen
A novel framework is proposed that utilizes symbolic regression via genetic programming to identify free-form partial differential equations from scarce and noisy data. The framework successfully identified ground truth models for four synt...
Ibrahim Nasuh Yildiran,Nikolaos Beratlis,Francesco Capuano et al.
Ibrahim Nasuh Yildiran et al.
Immersed boundary methods have seen an enormous increase in popularity over the past two decades, especially for problems involving complex moving/deforming boundaries. In most cases, the boundary conditions on the immersed body are enforce...
Kamel Lahouel,Michael Wells,Victor Rielly et al.
Kamel Lahouel et al.
Learning nonparametric systems of Ordinary Differential Equations (ODEs) x˙=f(t,x) from noisy data is an emerging machine learning topic. We use the well-developed theory of Reproducing Kernel Hilbert Spaces (RKHS) to define candidates...
Cole Gruninger,Aaron Barrett,Fuhui Fang et al.
Cole Gruninger et al.
We present and analyze a series of benchmark tests regarding the application of the immersed boundary (IB) method to viscoelastic flows through and around non-trivial, stationary geometries. The IB method is widely used to simulate biologic...