TIME-DOMAIN SOLUTION OF THE STATE EQUATIONS
Time-Domain Solution of LTI State Equations. 2 State-Variable Response of Linear Systems
... Solution: The system may be treated as a rotational system. The moment of inertia J of the mass is J = ml 2 , and when the rod is displaced from the vertical, gravity exerts a torque mgl sin θ about the bearing as ...
32
Cell-Vertex Based Multigrid Solution of the Time-Domain Maxwell's Equations
... The time domain Maxwell’s equations posed as a set of hyperbolic conservation laws are solved using a cell-vertex based multilevel scheme originally proposed by Ni for the solution of ...
17
Category theoretic solution of recursive domain equations
... The Warwick Research Archive Portal (WRAP) makes this work by researchers of the University of Warwick available open access under the following conditions.. Copyright © and all moral [r] ...
14
Discontinuous Galerkin Time-Domain solution of Maxwell's equations on locally-refined grids with fictitious domains
... the time-domain scattering of electromagnetic waves by devices with small geometrical details can require very fine grids and lead to unmanageable computational time and ...Galerkin ...
22
On hybrid temporal basis functions for stable numerical solution of time domain boundary integral equations
... integral equations, such as the boundary integral ...integral equations in the time domain often leads to so-called March-On-in-Time (MOT) ...numerical solution and its ...
18
Numerical solution and spectrum of boundary-domain integral equations
... 3.4 Conclusion The finite-dimensional perturbation allows to reduce the BDIE of the Neumann problem to an unconditionally and uniquely solvable integral equation. The numerical results presented in this chapter show that ...
170
Time Domain Boundary Integral Equations Analysis
... difference time domain (FDTD) method, they intrinsically offer major advantages over the FDTD-based solvers when ap- plied to the analysis of surface scatterers in homogeneous ...the time step size ...
200
Approximate P 3 solution for the semiinfinite medium: steady state and time domain
... approximate solution. Further, a complete solution of the P 3 equation with the extrapolated boundary conditions was also ...The solution was evaluated with nearly the same computational effort as ...
10
Time domain finite element method for Maxwell’s equations
... Maxwell’s equations rather than the second order vector wave ...as time independent, piecewise constant scalar functions, but the results can be general- ized to more complicated material parameters, ...in ...
16
Convolution spline approximations for time domain boundary integral equations
... in time than space, the time error decreases faster than the space error when the mesh is refined with fixed mesh ratio, and the space error eventually ...the time step size is simply too big to ...
44
Convolution spline approximations for time domain boundary integral equations
... in time than space, the time error decreases faster than the space error when the mesh is refined with fixed mesh ratio, and the space error eventually ...the time step size is simply too big to ...
45
Fast, Parallel Techniques for Time-Domain Boundary Integral Equations
... kx n − x j k , x j ∈ R d , j, . . . , N, d = 2, 3 was developed. The one-level fast multipole method for the Helmholtz potential had been introduced in [155]. An excellent algorithm-oriented description of this method ...
172
Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain
... the solution for a generalized class of fractional order differential equations involving the Riemann- Liouville differential operator on unbounded domain [0, + ∞ ...
8
Time-dependent solution of the NIMFA equations around the epidemic threshold
... We solve the differential equations of the N -intertwined mean-field approximation of the susceptible-infected-susceptible epidemic process with heterogeneous spreading parameters around[r] ...
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations
... indefinite time-harmonic Maxwell’s system at mid- to high-frequency is a problem of great current ...how domain-decomposition (DD) solvers recently proposed for the Helmholtz equation work in the Maxwell ...
9
Development of provably stable A-phi formulation time domain integral equations
... That is, all the eigenvalues of the matrix lie in the union of the disks with center defined by the diagonal element of the row and a radius equal to the sum of the absolute value of all other elements of the row. By ...
109
Adaptive methods for time domain boundary integral equations for acoustic scattering
... previous time steps may need to be projected to different grids, possibly causing additional ...initial time step, and this method is therefore more ...a time-marching scheme, it may also suffer from ...
226
THE DOMAIN DECOMPOSITION METHOD FOR MAXWELL'S EQUATIONS IN TIME DOMAIN SIMULATIONS WITH DISPERSIVE METALLIC MEDIA
... Maxwell’s equations, finite difference schemes, computational electromagnetics, domain decomposition methods, interpolation, dispersive media, metallic nanoparticles AMS subject classifica[r] ...
19
The Unified-FFT Method for Fast Solution of Integral Equations as Applied to Shielded-Domain Electromagnetics
... Fig. 5.4-6. Actual single iteration simulation times and projected full optimization time. In!summary,!Chapter!5!explains!a!number!of!research!directions!that!this!topic!may!take!in! ...
147
On the numerical solution of large-scale sparse discrete-time Riccati equations
... cannot exploit sparsity of the problem and are therefore not suitable for large- scale problems. An iterative procedure for stabilizing large-scale discrete-time systems is suggested in [25] and can be used for ...
40