Results 191 to 200 of about 14,670,895 (289)

Shooting Methods for Boundary Value Problems of Fractional Differential Equations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We consider two‐point boundary value problems of fractional differential equations (FDEs) including a Caputo derivative with a fractional order in the range (0,1) or (1,2). The numerical solution of a boundary value problem is investigated using shooting methods.
Roland Pulch, Abhishek Kumar Singh
wiley   +1 more source

A Variational Physics‐Informed Neural Network Framework for Simulating Nonlinear Elastic Wave Propagation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT This work employs Variational Physics‐Informed Neural Networks (VPINNs) to solve the forward problem of one‐dimensional wave propagation in nonlinear elastic solids. A first‐order elastodynamic formulation is adopted, where particle velocity and strain serve as the primary field variables.
Benjamin Ankay, Okyay Altay
wiley   +1 more source

Editorial for the Special Issue on Advanced Manufacturing Technology and Systems, 3rd Edition. [PDF]

Micromachines (Basel)
Xing Y, Li G, Zhu Z.
europepmc   +1 more source

Adaptive Implicit Runge–Kutta Methods for Stabilized Index‐One Differential Algebraic Equations in Constrained Flexible Multibody Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT This communication discusses the application of implicit Runge–Kutta methods to constrained flexible multibody systems. Since the resulting systems of differential algebraic equations (DAEs) are typically considered to be very stiff, the family of stiffly accurate A$A$‐ and L$L$‐stable Radau IIA collocation methods is investigated.
Jonas Breuling
wiley   +1 more source

An optimal Petrov-Galerkin framework for operator networks. [PDF]

Comput Methods Appl Mech Eng
Charles P, Ray D, Yu Y, Prins J, Melchers H, Abdelmalik MRA, Cochran J, Oberai AA, Hughes TJR, Larson MG.   +9 more
europepmc   +1 more source

A Mixed Discrete Cosserat Rod Formulation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT In this communication we propose a discrete Cosserat rod formulation in which a slender elastic rod is represented as a chain of rigid bodies (nodes) coupled by compliant elastic forces and moments acting between adjacent node pairs. Discrete dilatation, shear, torsion and curvature strain measures are evaluated from the relative kinematics of
Tianxiang Dai, Marco Herrmann, Jonas Breuling, Remco I. Leine, Simon R. Eugster   +4 more
wiley   +1 more source

Efficient Inference in First Passage Time Models. [PDF]

Stat Comput
Liu S, Fengler A, Frank MJ, Harrison MT.
europepmc   +1 more source

A Sequential Monte Carlo Method for Bayesian Poisson Process Trees

Stat, Volume 15, Issue 4, December 2026.
ABSTRACT Statistical analysis of spatial point patterns often needs to deal with heterogeneous structures in intensity function estimation with possibly high‐dimensional covariate space. Likelihood based inference for spatial point process models needs to address the challenges in evaluating the multidimensional integral of random intensity function ...
Pulong Ma
wiley   +1 more source

Cohort population analysis of sparse data: Dexamethasone pharmacokinetics in mother and fetus based on blood sampling at birth. [PDF]

J Pharmacokinet Pharmacodyn
Krzyzanski W.
europepmc   +1 more source

Four Decades of Research at the MADE Site and Beyond: Advancing the Understanding and Modeling of Solute Transport in Heterogeneous Media

Reviews of Geophysics, Volume 64, Issue 4, December 2026.
Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo, Maosheng Yin, Peiyao Dong, Yong Zhang, Kewei Chen, Graham Fogg, Brian Berkowitz, Marco Dentz, Chunmiao Zheng   +8 more
wiley   +1 more source