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In this paper, we will briefly review some recently developed ways to address these challenges, by describing some advanced numerical simulation techniques based on multirate Runge-Kutta schemes, which ... Electronic circuit simulation, especially for radio frequency (RF) and microwave telecommunications, is being challenged by increasingly complex applications presenting signals of very different nature ... techniques based on multirate Runge-Kutta schemes have been proposed to operate within one-dimensional and multivariate frameworks. ...doi:10.1155/2012/528045 fatcat:t33gwmd77rbgdi3iyauleimkke
(D-K LRH-MD; Karlsruhe) A method of characteristics for solving multirate partial differential equations in radio frequency application. ... From one point of view, it can be regarded as a multirate scheme applied to the underlying ODE. ...
Modeling and Simulation in Engineering Sciences
This chapter is devoted to the discussion of a hybrid frequency-time CAD tool especially designed for the efficient numerical simulation of nonlinear electronic radio frequency circuits operating in an ... Because the aperiodic slowly varying state variables are treated only in time domain, the proposed method can be seen as a hybrid scheme combining multitime envelope transient harmonic balance based on ... Simulating a circuit with this kind of stimulus, using conventional time-step integration schemes (e.g., Runge-Kutta schemes, or linear multistep methods), is computationally very expensive. ...doi:10.5772/64152 fatcat:d77lbn6p7fabvnpqh5y3gzjyo4
Numerical Simulations in Engineering and Science
This chapter is intended to briefly review some advanced circuit-level numerical simulation techniques based on circuit-block partitioning schemes, which were especially designed to address the simulation ... Circuits composed of a combination of analog, mixed-signal and digital blocks or even radio frequency (RF) blocks, integrated in the same substrate, are very difficult to simulate as a whole at the circuit ... methods (the popular Runge-Kutta (RK) schemes) [2, 3] . ...doi:10.5772/intechopen.75490 fatcat:pfzbjvor55f2rdpp4ncfmuik2m
The objective of this paper is thus to provide a general overview on the most important hybrid time-frequency techniques, as the ones found in commercial tools or the ones recently published in the literature ... This paper reviews some of the promising doors that functional analysis techniques have recently opened in the field of electronic circuit simulation. ... Radio frequency (RF) and microwave system design is a field that was an important driver for numerical simulation development, and continues to be so nowadays. ...doi:10.1155/2013/578326 fatcat:beimpqd5hfgcdnjoviftk3eeyi
Handbook of Numerical Analysis
One origin of these method are the split Runge-Kutta schemes by Rice  . ... Multirate extrapolation  and Runge-Kutta  schemes are successfully used in stellar problems by Engstler and Lubich. ...doi:10.1016/s1570-8659(04)13006-8 fatcat:h3l2jw323rbnbdz7y5wec3zitm
A method of characteristics for solving multirate partial differential equations in radio frequency application. ... Exponential time differencing for stiff systems (English summary) 2003b:65064 Dumont, Yves Vibrations of a beam between stops: numerical simulations and comparison of several numerical schemes. ...
As central application within this thesis gyrotron resonators are simulated with the discontinuous Galerkin Particle-in-Cell method on high-performance-computers. ... These properties are essential for the efficient numerical treatment of the Vlasov-Maxwell system with the Particle-in-Cell method. ... F.1.: Coefficients for the 4 th -order low-storage explicit Runge-Kutta (LSERK4) scheme from [Carpenter and Kennedy, 1994] . F. ...doi:10.18419/opus-3907 fatcat:ycqd7hbdgnfq3l32t6p5auf6ba
Constantinescu et al. and later Krivodonova devised multirate explicit methods for hyperbolic conservation laws , which are based on Runge-Kutta [26, 71] and Adams-Bashforth  schemes; again these ... runge-kutta based lts Here, Steps 1-3 correspond to the numerical solution of (6.9) until τ = ∆t by using the LSRKs scheme of order k with the smaller time-step ∆τ = ∆t/p. ... Table 5 : The LTS-RKs(2) scheme for s = 2, 3, 4 when combined with a continuous FE or nodal DG-FE discretization: the ratio ∆t 2 /∆t RKs is shown for varying σ. ...doi:10.5451/unibas-006433971 fatcat:jgmcgmbqaffsflshyk4sbmpzhe
With respect to the low-temperature counterpart, accelerator magnets based on ReBCO tapes are known to behave differently in terms of magnetic field quality and protection from quench events. ... Numerical methods play a crucial role for overcoming the challenges related to magnetic field quality and quench protection. ... The most popular is the classical Runge-Kutta method which is an explicit scheme with a convergence rate of the fourth order. ...doi:10.26083/tuprints-00020859 fatcat:yusci6ect5flllgea6zzwlus6y
Based on this analysis, sufficient topological criteria are developed which guarantee convergence of Gauss-Seidel and Jacobi type waveform relaxation schemes for introduced coupled systems. ... The focus is on different couplings of the circuit equations, modeled with the modified nodal analysis, and the electromagnetic devices with their refined model based on full-wave Maxwell's equations in ... The fields of application for the FIT reach from actuator simulation [FDW07] over radio frequency simulation and microwave simulation [MW07] , to mention a few. ...doi:10.18452/22544 fatcat:xqa6eklsbnbtfmo7iqxsortkum
Runge -Kutta methods -Euler's method, Euler's predicator-corrector method, Runga-Kutta methods of second and fourth order. Boundary-value and Eigen value problems. ... Frequency Domain Analysis of DT Systems ♦ Pole-zero diagram ♦ Frequency domain analysis using analytical & graphical techniques ♦ System classification based on pass-band as low pass, high pass, Band ... Mobile data communications Specialized packet and mobile radio networks, circuit switched data services on cellular Networks, Packet switched data services on cellular networks, data over low power wireless ...doi:10.1109/robot.1994.351213 dblp:conf/icra/Kircanski94 fatcat:uawqnzropbgivcanzqihtimt2m
Using these the model is further simplified to be tractable for model-based control design. ... Radio-controlled (RC) helicopters  such as the Bergen Industrial Twin employed by the ANCL UAV project operate on the same principles, but have a number of characteristics which distinguish them from ... Instead of directly numerically integrating the equations using e.g. Runge-Kutta, we solve them analytically then apply numerical quadrature if required. ...doi:10.7939/r3732t fatcat:56naimue7jdnreubcgxy5u7kou