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  • in this contribution we study one particular reaction-diffusion system - the Gray Scott model. We focused on quantitative comparison of two numerical schemes which solve the model in 2D. One is based on FDM, the other is based on FEM and uses the mass-lumping technique. Both schemes are explicit and uses structured numerical grids. Modified Runge-Kutta method with adaptiv time-stepping is used for time-integration. Our numerical simulations suggest that for certain combinations of initial data and model parameter values we may not get an agreement of numerical results provided by these numerical schemes while refinning the numerical grid. Example results are given.
  • in this contribution we study one particular reaction-diffusion system - the Gray Scott model. We focused on quantitative comparison of two numerical schemes which solve the model in 2D. One is based on FDM, the other is based on FEM and uses the mass-lumping technique. Both schemes are explicit and uses structured numerical grids. Modified Runge-Kutta method with adaptiv time-stepping is used for time-integration. Our numerical simulations suggest that for certain combinations of initial data and model parameter values we may not get an agreement of numerical results provided by these numerical schemes while refinning the numerical grid. Example results are given. (en)
Title
  • Quantitative Analysis of Numerical Solution for the Gray-Scott Model
  • Quantitative Analysis of Numerical Solution for the Gray-Scott Model (en)
skos:prefLabel
  • Quantitative Analysis of Numerical Solution for the Gray-Scott Model
  • Quantitative Analysis of Numerical Solution for the Gray-Scott Model (en)
skos:notation
  • RIV/68407700:21340/09:00165523!RIV10-MSM-21340___
http://linked.open...avai/riv/aktivita
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  • P(LC06052), Z(MSM6840770010)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 337844
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  • RIV/68407700:21340/09:00165523
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  • Gray-Scott model; FDM; FEM (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [93EE272867BA]
http://linked.open...v/mistoKonaniAkce
  • Praha
http://linked.open...i/riv/mistoVydani
  • Praha
http://linked.open...i/riv/nazevZdroje
  • Doktorandské dny 2009
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
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  • Mach, Jan
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Česká technika - nakladatelství ČVUT
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  • 978-80-01-04436-0
http://localhost/t...ganizacniJednotka
  • 21340
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