Shooting Methods for Boundary Value Problems of Fractional Differential Equations
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
Bayesian Umbrella Quadrature Automates Free-Energy Calculations Across Diverse Molecular Systems and Processes. [PDF]
Kempkes EK, Pérez de Alba Ortíz A.
europepmc +1 more source
A Mixed Discrete Cosserat Rod Formulation
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 +4 more
wiley +1 more source
Hidden Coherence Bursts and Time-Tagged Holevo Fragment Information Under Finite-Resolution Observation in a Central-Spin Environment. [PDF]
Rebollo-Martínez D, Rebollo-Salas M.
europepmc +1 more source
A Sequential Monte Carlo Method for Bayesian Poisson Process Trees
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
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Cohort population analysis of sparse data: Dexamethasone pharmacokinetics in mother and fetus based on blood sampling at birth. [PDF]
Krzyzanski W.
europepmc +1 more source
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 +8 more
wiley +1 more source
A fast Chebyshev exponential-integrator solver for stochastic PDEs on bounded domains with non-homogeneous Dirichlet boundary data. [PDF]
Sarker RC, Islam MS, Rahman A.
europepmc +1 more source
A Lower Bound on the Altitude of the Hiroshima Firestorm Plume From Ray Optics
Abstract Projections of nuclear winter are critically sensitive to the height of soot lofted by firestorms, yet direct observations of firestorm plumes are scarce. Here, a lower bound is established for the height of the Hiroshima firestorm plume 97 min after detonation.
David M. Romps, Rusen Öktem, Zhenyu He
wiley +1 more source
Subspace Method of Moments for <i>Ab Initio</i> 3-D Single Particle Cryo-EM Reconstruction. [PDF]
Hoskins J +4 more
europepmc +1 more source

