A theoretical study of aqueous humor secretion based on a continuum model coupling electrochemical and fluid-dynamical transmembrane mechanisms

A theoretical study of aqueous humor secretion based on a continuum model coupling electrochemical and fluid-dynamical transmembrane mechanisms

Numerical methods for coupling multigroup radiation with ion and electron temperatures

An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes

FETI and BDD Preconditioners for Stokes-Mortar-Darcy Systems

On a scalable nonparametric denoising of time series signals

A connected component labeling algorithm for implicitly-defined domains

Efficient Multigrid Solution of Elliptic Interface Problems using Viscosity-Upwinded Local Discontinuous Galerkin Methods

Fast multigrid solution of high-order accurate multi-phase Stokes problems

High-order methods for computing distances to implicitly defined surfaces

From interacting agents to density-based modeling with stochastic PDEs

Efficient high-order discontinuous Galerkin computations of low Mach number flows

Multiderivative time integration methods preserving nonlinear functionals via relaxation

A second-order accurate method for solving the eikonal equation

High-accuracy embedded boundary grid generation using the divergence theorem

On the convergence of spectral deferred correction methods

Design of DIRK schemes with high weak stage order

A higher order Godunov method for radiation hydrodynamics: Radiation subsystem

Advanced stationary and non-stationary kernel designs for domain-aware Gaussian processes

Design of DIRK schemes with high weak stage order

Analysis of estimators for Adaptive Kinetic Monte Carlo

A cartesian grid embedded boundary method for the compressible Navier--Stokes equations

Discontinuous Galerkin Method with the Spectral Deferred Correction time-integration scheme and a modified moment limiter for adaptive grids

A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources

The extended finite element method for boundary layer problems in biofilm growth

A parallel-in-time collocation method using diagonalization: theory and implementation for linear problems

Convergence of multi-level spectral deferred corrections

Revisionist integral deferred correction with adaptive step-size control

Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis

Simple Second-Order Finite Differences for Elliptic PDEs with Discontinuous Coefficients and Interfaces

Conditional path sampling of stochastic differential equations by drift relaxation

Phase transition approach to detecting singularities of PDEs

Problem reduction, renormalization and memory

Renormalized reduced models for singular PDEs

A higher order Godunov method for radiation hydrodynamics: Radiation subsystem

2D force constraints in the method of regularized Stokeslets

A Cut Cell Method for Simulating Spatial Models of Biochemical Reaction Networks in Arbitrary Geometries

Adaptively weighted least squares finite element methods for partial differential equations with singularities

An adaptively weighted Galerkin finite element method for boundary value problems

Low Mach number fluctuating hydrodynamics of binary liquid mixtures

Low Mach number fluctuating hydrodynamics of diffusively mixing fluids