The following sections are included: Advances in Mathematical Modelling Dynamics of
Dilute Polymer Solutions The Rouse model Dumbbell models Closure Approximations …

Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

This paper studies least-squares ReLU neural network method for solving the linear
advection-reaction problem with discontinuous solution. The method is a discretization of an …

Finite volume methods apply directly to the conservation law form of a differential equation
system; and they commonly yield cell average approximations to the unknowns rather than …

We analyze the hp-version of the streamline-diffusion finite element method (SDFEM) and of
the discontinuous Galerkin finite element method (DGFEM) for first-order linear hyperbolic …

In this paper we present the main conceptual ingredients and the current state of
development of the new solver QUADFLOW for large scale simulations of compressible fluid …

In this article, we provide a methodology to reconstruct high Reynolds number turbulent
mean-flows from few time-averaged measurements. A turbulent flow over a backward-facing …

Friedrichs' systems (FS) are symmetric positive linear systems of first-order partial differential
equations (PDEs), which provide a unified framework for describing various elliptic …

We develop the a posteriori error analysis of stabilised finite element approximations to
linear transport problems via duality arguments. Two alternative dual problems are …

In recent years the concept of fully adaptive multiscale finite volume schemes for
conservation laws has been developed and analytically investigated. Here the grid …