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We numerically calculate the first few eigenvalues of the perturbations of self-similar solutions of the spherically symmetric co-rotational SU(2) sigma-model on Minkowski space. ...
High precision measurements of the Cosmic Microwave Background (CMB) anisotropies, as can be expected from the PLANCK satellite, will require high-accuracy theoretical predictions as well. One possible source of theoretical uncertainty is the numerical err ...
Electrical synapses continuously transfer signals bi-directionally from one cell to another, directly or indirectly via intermediate cells. Electrical synapses are common in many brain structures such as the inferior olive, the subcoeruleus nucleus and the ...
The comparison of numerical results for implicit-explicit and fully explicit Runge-Kutta time integration methods for a nozzle flow problem shows that filtering can significantly degrade the accuracy of the numerical solution for long-time integration prob ...
Dam-break floods on steep slopes occur in diverse settings. They may result from failure of either natural or man-made dams, and they have been responsible for the loss of thousands of lives [Costa, 1988]. Recent disasters resulting from dam-break floods o ...
A common feature of the Vlasov equation is that it develops fine-scale filamentation as time evolves, as observed, for example, in global nonlinear simulations of the ion-temperature-gradient instability. From a numerical point of view, it is not trivial t ...
We discuss the numerical solution of the 3-D Maxwell's equations in general curvilinear coordinates using a multidomain pseudospectral (Chebyshev collocation) scheme. The formulation of the equations and the method as well as the multidomain patching proce ...
The main purpose of the ITER ECH upper launcher is to control magnetohydrodynamic activity, in particular neoclassical tearing modes, in the plasma. The mm-wave optical system is optimized to insure that the eight RF beams are all focused to a small beam w ...
Mathematical and numerical aspects of viscoelastic flows are investigated here. Two simplified mathematical models are considered. They are motivated by a splitting algorithm for solving viscoelastic flows with free surfaces. The first model is a simplifie ...
Modeling and simulation of dynamic systems with a separation of time-scales leads naturally to sing ular perturbation models. For systems of PDEs in time and one spatial dimension, the corresponding quasi-steady-state models yields a reduced set of PDEs (s ...