A conservative and non-oscillatory scheme for Vlasov code simulations Takayuki Umeda
... The MUSCL and WENO schemes show the best property for the linear advection of the rectangular wave because these are called “shock capturing” schemes. For the sinusoidal wave, on the other hand, we found a modification of the profile during the linear advection. The MUSCL scheme artificially rectang ...
... The MUSCL and WENO schemes show the best property for the linear advection of the rectangular wave because these are called “shock capturing” schemes. For the sinusoidal wave, on the other hand, we found a modification of the profile during the linear advection. The MUSCL scheme artificially rectang ...
... about the smoothness of densities of solutions of stochastic differential equations driven by Brownian motion. Malliavin developed the notion of derivatives of Wiener functional as part of a programme for producing a probabilistic proof of the celebrated Hörmander theorem, which states that solution ...
The nature of Petschek-type reconnection T. G. Forbes
... where Rme and V Ae are the magnetic Reynolds number and Alfvén speed in the region far upstream of the current sheet. Because of its logarithmic dependence on Rme , the Petschek reconnection rate is many orders of magnitude greater than the Sweet-Parker rate, and for most space and laboratory appli ...
... where Rme and V Ae are the magnetic Reynolds number and Alfvén speed in the region far upstream of the current sheet. Because of its logarithmic dependence on Rme , the Petschek reconnection rate is many orders of magnitude greater than the Sweet-Parker rate, and for most space and laboratory appli ...
Self-Force Reduced Finite Element Poisson Solvers for Monte Carlo
... Society today is marked by the use of electronic devices which consist of semiconductor devices. Semiconductor devices are hard to describe properly using analytical tools, which means other approaches are necessary. Nowadays, computers allow the modeling of processes inside materials. This can redu ...
... Society today is marked by the use of electronic devices which consist of semiconductor devices. Semiconductor devices are hard to describe properly using analytical tools, which means other approaches are necessary. Nowadays, computers allow the modeling of processes inside materials. This can redu ...
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.