collaborators

8 papers

math.NA2026

A Multirate Transient Simulation Technique for Circuits described by Integro-Differential Equations

Hans Georg Brachtendorf, Kai Bittner

The multirate partial differential equation (PDE) technique is considered as one of the most powerful methods for the simulation of radio frequency (RF) circuits. The method reform…

math.NA2016

Latency Exploitation in Wavelet-based Multirate Circuit Simulation

Kai Bittner, Hans Georg Brachtendorf

The simulation of radio frequency (RF) circuits is one of the severest problems in Design Automation: the information signal or envelope is modulated by a carrier signal with a cen…

math.NA2016

Trigonometric Splines for Oscillator Simulation

Kai Bittner, Hans Georg Brachtendorf

We investigate the effects of numerical damping for oscillator simulation with spline methods. Numerical damping results in an artificial loss of energy and leads therefore to unre…

math.NA2016

Adaptive wavelet-based method for simulation of electronic circuits

Kai Bittner, Emira Dautbegovic

In this paper we present an algorithm for analog simulation of electronic circuits involving a spline Galerkin method with wavelet-based adaptive refinement. Numerical tests show t…

math.NA2016

Wavelet Algorithm for Circuit Simulation

Kai Bittner, Emira Dautbegovic

We present a new adaptive circuit simulation algorithm based on spline wavelets. The unknown voltages and currents are expanded into a wavelet representation, which is determined a…

math.NA2016

Fast Algorithms for Adaptive Free-Knot Spline Approximation Using Non-Uniform Biorthogonal Spline Wavelets

Kai Bittner, Hans Georg Brachtendorf

New algorithms for fast wavelet transforms with biorthogonal spline wavelets on nonuniform grids are presented. In contrary to classical wavelet transforms, the algorithms are not…