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A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces
We propose a simple embedding method for computing the eigenvalues and eigenfunctions of the Laplace-Beltrami operator on implicit surfaces. The...
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Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics
The authors prove error estimates for the semi-implicit numerical scheme of sphere-constrained high-index saddle dynamics, which serves as a powerful...
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An Adaptive Time-Step** Method for the Binary Fluid-Surfactant Phase Field Model on Evolving Surfaces
In this paper, the binary fluid-surfactant phase field model on evolving surfaces is presented and numerically studied for interfacial sciences....
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Implicit-explicit Runge–Kutta methods for pricing financial derivatives in state-dependent regime-switching jump-diffusion models
In this paper, we have devised a novel class of implicit-explicit Runge–Kutta methods for the valuation of financial derivatives under...
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Adapting Neural Radiance Fields (NeRF) to the 3D Scene Reconstruction Problem Under Dynamic Illumination Conditions
The problem of new image synthesis with the use Neural Radiance Fields (NeRF) for an environment with dynamic illumination is considered. When...
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Modification and improved implementation of the RPD method for computing state relaxations for global dynamic optimization
This paper presents an improved method for computing convex and concave relaxations of the parametric solutions of ordinary differential equations...
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Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces
In this paper, we consider a non-linear fourth-order evolution equation of Cahn–Hilliard-type on evolving surfaces with prescribed velocity, where...
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Dynamic Load Balancing of a Coupled Lagrange Particle Tracking Solver for Direct Injection Engine Application
A dynamic load balancing technique for multiphysics simulation methods based on hierarchical Cartesian meshes for a direct injection internal...
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Implicit Visualization of 2D Vector Field Topology for Periodic Orbit Detection
We present implicit visualization of 2D vector field topology, and show its utility for validating and guiding approaches for periodic orbit...
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A convergent evolving finite element algorithm for Willmore flow of closed surfaces
A proof of convergence is given for a novel evolving surface finite element semi-discretization of Willmore flow of closed two-dimensional surfaces,...
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Langevin dynamic for the 2D Yang–Mills measure
We define a natural state space and Markov process associated to the stochastic Yang–Mills heat flow in two dimensions.
To accomplish this we first...
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Analytical detection of stationary and dynamic patterns in a prey–predator model with reproductive Allee effect in prey growth
Allee effect in population dynamics has a major impact in suppressing the paradox of enrichment through global bifurcation, and it can generate...
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Isogeometric Analysis-Based Topological Optimization for Heterogeneous Parametric Porous Structures
Porous structures widely exist in nature and artifacts, which can be exploited to reduce structural weight and material usage or improve damage...
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Dynamic Oppositional Symmetries for Color, Jungian and Kantian Categories
This paper investigates some classical oppositional categories, like synthetic versus analytic, posterior versus prior, imagination versus grammar,...
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Entropy Rigidity, Pressure Metric, and Immersed Surfaces in Hyperbolic 3-Manifolds
In this paper, we show an entropy rigidity result for immersed surfaces in hyperbolic 3-manifolds that relates dynamic and geometric quantities...
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Differential History-Dependent Variational-Hemivariational Inequality with Application to a Dynamic Contact Problem
This paper is dedicated to the discussion of a new dynamical system involving a history-dependent variational-hemivariational inequality coupled with...
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Dynamic Studies of Binary Adsorption System in Fixed Beds using Orthogonal Collocation on Finite Element Method
In this study, a generalized, comprehensive and feasible mathematical model was developed for the description of the adsorption of multicomponent...
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Numerical Analysis of Rarefied Gas Flow through a System of Short Channels
AbstractThe S-model kinetic equation is used to study the rarefied gas flow from a high-pressure tank to a low-pressure one through a flat membrane...
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Automatic Solid Reconstruction from 3-D Points Set for Flow Simulation via an Immersed Boundary Method
Dealing with complex geometries for industrial applications is challenging in computational fluid dynamic workflows. Current developments in scan...
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Dynamic Load Balancing for Coupled Simulation Methods
A dynamic load balancing technique for simulation methods based on hierarchical Cartesian meshes is presented for two applications in this paper. The...