@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}
}

{"_id":"Cp3erHpswzWenEvqB","bibbaseid":"bartel-knorr-waveletbasedadaptivegridsforthesimulationofmultiratepartialdifferentialalgebraicequations-2006","authorIDs":[],"author_short":["Bartel, A.","Knorr, S."],"bibdata":{"bibtype":"inproceedings","type":"inproceedings","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":[{"propositions":[],"lastnames":["Bartel"],"firstnames":["Andreas"],"suffixes":[]},{"propositions":[],"lastnames":["Knorr"],"firstnames":["Stephanie"],"suffixes":[]}],"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","bibtex":"@InProceedings{ Bartel_2006ab,\n 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.},\n author = {Bartel, Andreas and Knorr, Stephanie},\n booktitle = {Proceedings in Applied Mathematics and Mechanics},\n doi = {10.1002/pamm.200610011},\n file = {Bartel_2006ab.pdf},\n issn = {1617-7061},\n keywords = {wavelet,multirate,mpdae},\n langid = {english},\n number = {1},\n pages = {39--42},\n title = {Wavelet-based Adaptive Grids for the Simulation of Multirate Partial Differential-Algebraic Equations},\n volume = {6},\n year = {2006},\n shortbooktitle= {PAMM}\n}\n\n","author_short":["Bartel, A.","Knorr, S."],"key":"Bartel_2006ab","id":"Bartel_2006ab","bibbaseid":"bartel-knorr-waveletbasedadaptivegridsforthesimulationofmultiratepartialdifferentialalgebraicequations-2006","role":"author","urls":{},"keyword":["wavelet","multirate","mpdae"],"downloads":0,"html":""},"bibtype":"inproceedings","biburl":"http://dl.schoeps.org/database.bib","creationDate":"2019-12-26T16:51:16.647Z","downloads":0,"keywords":["wavelet","multirate","mpdae"],"search_terms":["wavelet","based","adaptive","grids","simulation","multirate","partial","differential","algebraic","equations","bartel","knorr"],"title":"Wavelet-based Adaptive Grids for the Simulation of Multirate Partial Differential-Algebraic Equations","year":2006,"dataSources":["P4aBgbzF45TWvxzbZ"]}