The analysis of singular perturbed differential equations began early in the twentieth century, when approximate solutions were constructed from asymptotic expansions …
The work reported herein was conducted under the Cleanup Pillar of the Strategic Environmental Research and Development Program (SERDP) as part of Work Unit CU …
C Paniconi, M Putti - Water Resources Research, 2015 - Wiley Online Library
Integrated, process‐based numerical models in hydrology are rapidly evolving, spurred by novel theories in mathematical physics, advances in computational methods, insights from …
RE Ewing, H Wang - Journal of Computational and Applied Mathematics, 2001 - Elsevier
We give a brief summary of numerical methods for time-dependent advection-dominated partial differential equations (PDEs), including first-order hyperbolic PDEs and nonstationary …
J Douglas Jr, F Furtado, F Pereira - Computational Geosciences, 1997 - Springer
We present a new, naturally parallelizable, accurate numerical method for the solution of transport-dominated diffusion processes in heterogeneous porous media. For the …
Subsurface contamination by organic chemicals is a pervasive environmental problem, susceptible to remediation by natural or enhanced attenuation approaches or more highly …
H Wang, HK Dahle, RE Ewing, MS Espedal… - SIAM Journal on …, 1999 - SIAM
We develop an Eulerian--Lagrangian localized adjoint method (ELLAM) to solve two- dimensional advection-diffusion equations with all combinations of inflow and outflow …
H Wang, D Liang, RE Ewing, SL Lyons, G Qin - SIAM Journal on Scientific …, 2000 - SIAM
We develop an Eulerian--Lagrangian localized adjoint method (ELLAM)-mixed finite element method (MFEM) solution technique for accurate numerical simulation of coupled …
The MMOC procedure for approximating the solutions of transport-dominated diffusion problems does not automatically preserve integral conservation laws, leading to (mass) …