Results 211 to 220 of about 26,670 (302)

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

A multiscale theory for network advection- reaction-diffusion. [PDF]

J Math Biol
Oliveri H, Cozzolino E, Goriely A.
europepmc   +1 more source

Performance Assessment of the Immersed Boundary Method in the Framework of the Moment Representation Lattice Boltzmann Method

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 857-870, July 2026.
The immersed boundary method (IBM) was coupled with the moment representation lattice Boltzmann method (MR‐LBM), reducing bandwidth requirements compared to population‐based LBM formulations. A systematic assessment of IBM parameters was conducted to quantify their effect on computational performance.
Marco A. Ferrari, Ricardo de Souza, Admilson T. Franco   +2 more
wiley   +1 more source

Non-negative matrix factorization algorithms generally improve topic model fits. [PDF]

Stat Comput
Carbonetto P, Sarkar A, Wang Z, Stephens M.   +3 more
europepmc   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

MorphoGrad: A MATLAB toolbox for simulating steady-state morphogen gradients under cell-to-cell variability. [PDF]

STAR Protoc
Adelmann JA, Vetter R, Iber D.
europepmc   +1 more source

On the Choice of Optimization Norm for Anderson Acceleration of the Picard Iteration for Navier–Stokes Equations

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT While recent Anderson acceleration (AA) convergence theory [Pollock et al., IMA Num. An., 2021] requires that the AA optimization norm match the Hilbert space norm associated with the fixed point operator, in implementations the ℓ2$$ {\ell}^2 $$ norm is the most common choice. So far there is little research done regarding this discrepancy. To
Elizabeth Hawkins, Leo G. Rebholz
wiley   +1 more source

Linearly Implicit Finite Element Methods Approximating the Solution to the Nonlinear Schrödinger Equation with a Schamel-Type Nonlinearity. [PDF]

J Sci Comput
Paraschis P, Zouraris GE.
europepmc   +1 more source

Computational Modeling of Sequential Dependencies in Mother–Child Social Interaction and Associations to Empathic Responses

Developmental Science, Volume 29, Issue 4, July 2026.
ABSTRACT Understanding how early mother–child interactions are linked to children's social‐cognitive processes requires methods capable of capturing the temporal structure of naturalistic behavior. This study introduces a computational framework based on Bayesian Network modeling to identify sequential dependencies among nonverbal behaviors (smiles ...
Eleuda Nunez, Yasuyo Minagawa, Masakazu Hirokawa, Eriko Yamamoto, Yoko Hakuno, Kenji Suzuki   +5 more
wiley   +1 more source

Dirichlet-Swing: understanding spatio-temporal aspects of political elections in heterogeneous societies through agent-based simulation. [PDF]

PLoS One
Mitra A.
europepmc   +1 more source