Results 71 to 80 of about 4,840 (191)
River Research and Applications, Volume 42, Issue 6, Page 1172-1187, July 2026.ABSTRACT Regulated rivers represent complex hydrological systems where groundwater–surface water interactions are governed by natural conditions and human interventions. This study investigates the spatiotemporal dynamics of groundwater–surface water exchanges in the Nechako River, British Columbia (Canada), using numerical simulations.
Milad Fakhari +4 more
wiley +1 more source
Free Bars in Straight Channels: Pattern Formation far Beyond Criticality
Journal of Geophysical Research: Earth Surface, Volume 131, Issue 7, July 2026.Abstract Bar formation plays a central role in river morphodynamics and has been extensively studied by means of analytical theories, flume experiments and numerical simulations. In this study, we investigate strongly nonlinear mode competition and free bar dynamics using a spectral numerical model. Starting from near‐flat random bed initial conditions,
F. Weber +4 more
wiley +1 more source
An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
doaj +1 more source
On the Convergence of Ritz-Galerkin's Method
Publications of the Research Institute for Mathematical Sciences, 1968 where D is a bounded domain in the (#, jO -plane, P is the boundary of D, and 0), &(:>0), c(>0), / are smooth functions defined on D. In Ritz-Galerkin's method, first we choose a system of linearly independent functions {^J such that they satisfy the given homogeneous boundary condition and they are dense in a function space containing the exact ...
openaire +3 more sources
Leaky Sewers Hydraulically Disconnect from Groundwater: A Proof‐of‐Concept
Groundwater, Volume 64, Issue 4, Page 483-497, July/August 2026.In this study, we newly demonstrate that leaky pipes can become hydraulically disconnected from the underlying groundwater—a phenomenon analogous to river–groundwater interactions. Through numerical modeling, we show that, as the groundwater table declines, the leakage flux from the pipe (in absolute terms) initially increases until a critical depth ...
Aaron Peche +5 more
wiley +1 more source
Galerkin-finite difference method for fractional parabolic partial differential equations
MethodsXThe fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan +2 more
doaj +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley +1 more source
A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Sci Rep, 2023 Jaśkowiec J, Pamin J.
europepmc +1 more source
An implicit-explicit Runge-Kutta discontinuous Galerkin method for advection-diffusion equations
四川大学学报. 自然科学版In this paper， an implicit-explicit Runge-Kutta discontinuous Galerkin method is proposed for the advection-diffusion equation.In the method， a two-stage Runge-Kutta scheme is employed for the temporal discretization， a discontinuous Galerkin method is ...
QING Shuwen, WANG Lu, FENG Minfu
doaj