Revisionist integral deferred correction with adaptive step-size control

On a computationally-scalable sparse formulation of the multidimensional and non-stationary maximum entropy principle

On the interpolation and integration in finite-dimensional spaces of bounded functions

A Nitsche-based cut finite element method for a fluid-structure interaction problem

Dual-based a posteriori error estimate for stochastic finite element methods

Computational models of material interfaces for the study of extracorporeal shock wave therapy

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

2D force constraints in the method of regularized Stokeslets

An Unsplit, Higher Order Godunov Method Using Quadratic Reconstruction for Advection in Multiple Dimensions

A high-order finite-volume method for conservation laws on locally-refined grids

A local corrections algorithm for solving Poisson's quation in three dimensions

An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere

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

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

Analysis of persistent non-stationary time series and applications

A front-tracking shock-capturing method for two gases

A Higher-Order Upwind Method for Viscoelastic Flow

An embedded boundary method for the Navier-Stokes equations on a time-dependent domain

A real-space Green's function method for the numerical solution of Maxwell's equations

A hybrid parareal spectral deferred corrections method

Achieving algorithmic resilience for temporal integration through spectral deferred corrections

Implications of the choice of predictors for semi-implicit Picard integral deferred corrections methods

Toward an Efficient Parallel in Time Method for Partial Differential Equations}

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

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

Reflection of various types of waves by layered media

A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes

Implicit particle filters for data assimilation

Parameter estimation by implicit sampling

Symmetrized importance samplers for stochastic differential equations

Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows

A numerical study of the extended Kohn-Sham ground states of atoms

A comparative study of iterative Riemann solvers for the shallow water and Euler equations

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