Results 51 to 60 of about 183 (122)

Machine-precision solution of Fredholm integral equations via barycentric physics-informed method

Results in Applied Mathematics
This paper presents a barycentric physics-informed (BPI) computational method for solving second-kind Fredholm integral equations. Unlike conventional Multi-Layer Perceptrons (MLPs) used in Physics-Informed Neural Networks (PINNs) that introduce inherent
Qinghua Wu
doaj   +1 more source

Fast Nodal Hessian Computation for Peridynamic Fracture Simulation

Computer Graphics Forum, EarlyView.
A fast, exact nodal Hessian computation for Non‐Ordinary State‐Based Peridynamics is introduced through analytical simplification and a warp‐centric GPU strategy. The method accelerates preconditioned solvers and Vertex Block Descent, enabling interactive fracture simulation with physical accuracy.
Yuxiong Qin, Qingfu Zhang, Zhongkai Zhang   +2 more
wiley   +1 more source

Solving Stochastic Climate‐Economy Models: A Deep Least‐Squares Monte Carlo Approach

Mathematical Finance, EarlyView.
ABSTRACT Stochastic versions of recursive integrated climate‐economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid‐based dynamic programming (e.g., value‐function iteration/projection ...
Aleksandar Arandjelović, Pavel V. Shevchenko, Tomoko Matsui, Daisuke Murakami, Tor A. Myrvoll   +4 more
wiley   +1 more source

Chebyshev Finite Difference Method for Solving Constrained Quadratic Optimal Control Problems

Journal of Mathematical Extension, 2011
. In this paper the Chebyshev finite difference method is employed for finding the approximate solution of time varying constrained optimal control problems.
M. Maleki*, M. Dadkhah Tirani
doaj  

Adaptive Matrix‐Free Simulations of Fluid‐Filled Phase‐Field Fractures With Fixed‐Stress Coupling and Fracture‐Width Computation

International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.
ABSTRACT Fluid‐filled phase‐field fracture simulations require robust, scalable solvers that can handle strongly nonlinear, non‐smooth mechanics and tightly coupled flow on locally refined meshes. In this work, we develop an adaptive finite element framework for quasi‐static, fluid‐filled phase‐field fractures that combines semi‐smooth Newton methods ...
Leon M. Kolditz, Viktor Kosin, Sanghyun Lee, Thomas Wick   +3 more
wiley   +1 more source

Bernstein polynomials method for solving multi-order fractional neutral pantograph equations with error and stability analysis

Results in Applied Mathematics
In this investigation, we present a new method for addressing fractional neutral pantograph problems, utilizing the Bernstein polynomials method.
M.H.T. Alshbool
doaj   +1 more source

Broadband Electromagnetic Field Prediction at Unseen Wavelengths via Physics‐Guided Neural Operators

Nanophotonics, Volume 15, Issue 15, 13 August 2026.
A physics‐guided neural operator is trained on electromagnetic field distributions at discrete wavelengths across diverse nanophotonic structures. At inference, given any permittivity map and query wavelength, the model predicts continuous broadband electric‐field distributions with full‐wave accuracy, including wavelengths unseen during training ...
Joonhyuk Seo, Chanik Kang, Dongjin Seo, Haejun Chung   +3 more
wiley   +1 more source

Efficient Tensor Completion Algorithms for Highly Oscillatory Operators

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We address the problem of recovering highly oscillatory operators, represented as n×n$$ n\times n $$ matrices with a fixed set of observed entries. Given that these matrices can be well compressed by butterfly matrix decomposition of L=𝒪(logn) levels requiring only O(nlogn)$$ O\left(n\log n\right) $$ degrees of freedom, we propose a novel ...
Navjot Singh, Edgar Solomonik, Xiaoye Sherry Li, Yang Liu   +3 more
wiley   +1 more source

A Lightweight Certificateless Authenticated Key Agreement Scheme Based on Chebyshev Polynomials for the Internet of Drones

Sensors
The Internet of Drones (IoD) overcomes the physical limitations of traditional ground networks with its dynamic topology and 3D spatial flexibility, playing a crucial role in various fields.
Zhaobin Li, Zheng Ju, Hong Zhao, Zhanzhen Wei, Gongjian Lan   +4 more
doaj   +1 more source

Random Friend Trees

Random Structures &Algorithms, Volume 69, Issue 1, August 2026.
ABSTRACT We study a random recursive tree model featuring complete redirection called the random friend tree and introduced by Saramäki and Kaski (2004). Vertices are attached sequentially, one by one, by selecting an existing target vertex and connecting to one of its neighbours (or friends), chosen uniformly at random.
Louigi Addario‐Berry, Simon Briend, Luc Devroye, Serte Donderwinkel, Céline Kerriou, Gábor Lugosi   +5 more
wiley   +1 more source