Results 121 to 130 of about 115,454 (246)

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

A discrete ordinates Boltzmann solver for application to inverse planning of photons and protons. [PDF]

Phys Med Biol, 2023
Bedford JL.
europepmc   +1 more source

The optimum addition of points to quadrature formulae

, 1968
Methods are developed for the addition of points in an optimum manner to the Gauss, Lobatto and general quadrature formulae. A new set of n n -point formulae are derived of degree ( 3 n − 1 )
T. N. L. Patterson
core   +1 more source

Beyond Directions: Symmetry‐Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization

Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2489-2504, November 2026.
ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Sune Nørhøj Jespersen, Filip Szczepankiewicz   +1 more
wiley   +1 more source

New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes

Boundary Value Problems
This paper investigates several Corrected Euler–Maclaurin-type inequalities for different function classes using Riemann–Liouville fractional integrals.
Hasan Kara, Fatih Hezenci, Arslan Munir, Hüseyin Budak   +3 more
doaj   +1 more source

On computing Gauss-Kronrod quadrature formulae

, 1986
We discuss the use of Newton’s method for computing Gauss-Kronrod quadrature formulae from modified moments. The underlying nonlinear maps are analyzed from the point of view of numerical condition. A method is indicated of computing the polynomial whose
Walter Gautschi, Franca Caliò, Elena Marchetti   +2 more
core   +1 more source

Error performance analysis of generalized quadrature spatial modulation using H-8QAM. [PDF]

Sci Rep, 2022
Sibanda N, Xu H, Pillay N.
europepmc   +1 more source

Comparison of Mesoscale Crack Advance and Process Zone Element Approaches for Simulating Ductile Crack Trajectories in Steel

Fatigue &Fracture of Engineering Materials &Structures, Volume 49, Issue 11, Page 4850-4862, November 2026.
ABSTRACT Rigorous application of continuum damage mechanics (CDM) models coupled with crack propagation schemes can predict crack branching or zigzag trajectories near the crack tip, even when the macroscopic crack growth is straight. This arises from oscillations in the local damage field and is consistent with experimental observations of ductile ...
Andrew Ziccarelli, Amit Kanvinde, Gregory Deierlein   +2 more
wiley   +1 more source

Modified Trapezoidal Product Cubature Rules: Definiteness, Monotonicity, and a Posteriori Error Estimates

Mathematics
We study two modifications of the trapezoidal product cubature formulae, approximating double integrals over the square domain [a,b]2=[a,b]×[a,b]. Our modified cubature formulae use mixed type data: except evaluations of the integrand on the points ...
Geno Nikolov, Petar Nikolov
doaj   +1 more source

Verifying calculated dose to the breast in stereotactic radiotherapy: A practical phantom‐based method

Journal of Applied Clinical Medical Physics, Volume 27, Issue 10, October 2026.
Abstract Background Reference dosimetry for the GammaPod breast radiosurgery device is determined in a polymethyl methacrylate (PMMA) phantom, while the clinical dose calculations assume the patient's breast has the atomic composition of water with a density (∼0.935 g/cm3).
Stewart J. Becker, Ryan E. Smith, Wesley S. Culberson, Kurt E. Stump, Baoshe Zhang, Jie Ding, Sina Mossahebi, Dennis Herschbach, Elizabeth M. Nichols   +8 more
wiley   +1 more source