PDEs (numerical)

Iterative schemes for coupled flow and transport in porous media -Convergence and truncation errors

3 weeks ago

Abstract Nonlinearities of coupled flow and transport problems for partially saturated porous media are solved with explicit iterative L-schemes. Their…

Controlling numerical diffusion in solving advection-dominated transport problems

4 months ago

Abstract Numerical schemes for advection-dominated transport problems are are evaluated in a comparative study. Explicit and implicit finite difference methods…

Optimal approximation of unique continuation

7 months ago

Abstract We consider numerical approximations of ill-posed elliptic problems with conditional stability. The notion of optimal error estimates is defined including…

Theory and computation of radial solutions for Neumann problems with φ-Laplacian

10 months ago

Abstract The paper deals with existence, localization and multiplicity of radial positive solutions in the annulus or the ball, for…

Computational orders of convergence of iterative methods for Richards’ equation

11 months ago

Abstract Numerical solutions for flows in partially saturated porous media pose challenges related to the non-linearity and elliptic-parabolic degeneracy of…

On high-order conforming finite element methods for ill-posed Helmholtz problems

3 years ago

Abstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first…

Global Random Walk Solutions for Flow and Transport in Porous Media

3 years ago

AbstractThis article presents a new approach to solve the equations of flow in heterogeneous porous media by using random walks…

Unique continuation problems and stabilised finite element methods

3 years ago

Book summaryNumerical analysis for partial differential equations (PDEs) traditionally considers problems that are well-posed in the continuum, for example the…

Accurate spectral collocation solutions to 2nd-order Sturm–Liouville problems

4 years ago

AbstractThis work is about the use of some classical spectral collocation methods as well as with the new software system…

Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations

4 years ago

AbstractWe are concerned with the study of some classical spectral collocation methods, mainly Chebyshev and sinc as well as with…

PDEs (numerical)

Related Posts