here.
... Lorentz invariance of the continuity equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 ...
... Lorentz invariance of the continuity equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 ...
Vlasov-code simulation J. B¨uchner
... plasma and waves have to be described, i.e., the propagation of kinetic Alfén waves in inhomogeneous media, collisionless shocks, warm beam instabilities, collisionless (“anomalous”) transport and magnetic reconnection. The physics of collisionless plasmas is well described by a self-consistent sol ...
... plasma and waves have to be described, i.e., the propagation of kinetic Alfén waves in inhomogeneous media, collisionless shocks, warm beam instabilities, collisionless (“anomalous”) transport and magnetic reconnection. The physics of collisionless plasmas is well described by a self-consistent sol ...
Multipole-Accelerated 3-D Capacitance Extraction Algorithms for Structures with Conformal Dielectrics
... and dielectric interfaces are discretized into n = np + nd small panels or tiles, with np panels oll conductor surfaces and nd panels on dielectric interfaces a-s in Figure 1. It is then assumed that on each panel i, a charge, qi, is uniformly distributed. For each conductor surface panel, an equati ...
... and dielectric interfaces are discretized into n = np + nd small panels or tiles, with np panels oll conductor surfaces and nd panels on dielectric interfaces a-s in Figure 1. It is then assumed that on each panel i, a charge, qi, is uniformly distributed. For each conductor surface panel, an equati ...
Comment on “Test of the Stark-effect theory using photoionization microscopy” eas, Robicheaux, reene
... states with βn1 < 1. The calculations of these quantities are based on R-matrix eigenchannel theory (see Ref. [6]). This quantitative analysis shows that photoabsorption observables rapidly converge as n1 is increased mainly due to the amplitudes 1/Rn1 , whereas the frame-transformed irregular funct ...
... states with βn1 < 1. The calculations of these quantities are based on R-matrix eigenchannel theory (see Ref. [6]). This quantitative analysis shows that photoabsorption observables rapidly converge as n1 is increased mainly due to the amplitudes 1/Rn1 , whereas the frame-transformed irregular funct ...
P .D. T H HESIS
... on the initial condition v(t = 0). The subscripts denote that the output may change value if the input reaches the threshold values α and β. Though the output even for a linear system can be expressed by an equation similar to (2), the difference is that the constitutive relationship between u and v ...
... on the initial condition v(t = 0). The subscripts denote that the output may change value if the input reaches the threshold values α and β. Though the output even for a linear system can be expressed by an equation similar to (2), the difference is that the constitutive relationship between u and v ...
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.