In *Proceedings in Applied Mathematics and Mechanics*, volume 6, pages 39–42, 2006.

doi abstract bibtex

doi abstract bibtex

We present an adaptive method to solve biperiodic problems in chip design with widely separated time scales and steep gradients due to digital-like signal structures. Motivated from the example of the switched capacitor filter, we explain the multidimensional signal model and the transformation of network equations to the hyperbolic multirate differential-algebraic system. Then adapted hat-wavelets are introduced to detect the steep gradients. In this way, an adaptive grid is defined for the efficient application of a finite difference method to solve the limit cycle problem.

@InProceedings{ Bartel_2006ab, abstract = {We present an adaptive method to solve biperiodic problems in chip design with widely separated time scales and steep gradients due to digital-like signal structures. Motivated from the example of the switched capacitor filter, we explain the multidimensional signal model and the transformation of network equations to the hyperbolic multirate differential-algebraic system. Then adapted hat-wavelets are introduced to detect the steep gradients. In this way, an adaptive grid is defined for the efficient application of a finite difference method to solve the limit cycle problem.}, author = {Bartel, Andreas and Knorr, Stephanie}, booktitle = {Proceedings in Applied Mathematics and Mechanics}, doi = {10.1002/pamm.200610011}, file = {Bartel_2006ab.pdf}, issn = {1617-7061}, keywords = {wavelet,multirate,mpdae}, langid = {english}, number = {1}, pages = {39--42}, title = {Wavelet-based Adaptive Grids for the Simulation of Multirate Partial Differential-Algebraic Equations}, volume = {6}, year = {2006}, shortbooktitle= {PAMM} }

Downloads: 0