- Numerische Lösung partieller Differentialgleichungen
(Finite-Volumen- und Finite-Element-Methoden, Vorkonditionierer,
Gittergeneration, Fehlerschätzer
und Adaptivität; in allen 
Forschungsgruppen, insbesondere in FG 3)
 
 
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- Numerical solution of partial differential 
equations
(finite volume and finite element methods, preconditioners, grid
generation, error estimators, and 
adaptivity, in all research groups, especially in FG 3)
 
 
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- Numerik von Algebro-Differentialgleichungen (in FG 3)
 
 
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- Numerics of differential-algebraic equations (in FG 3)
 
 
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- Numerik von Integralgleichungen (Randelementmethoden,
Waveletalgorithmen; in FG 4)
 
 
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- Numerics of integral equations (boundary element methods,
wavelet algorithms, in FG 4)
 
 
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- Verfahren der nichtlinearen Optimierung (in FG 4 und FG 7)
 
 
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- Nonlinear optimization techniques (in FG 4 and FG 7)
 
 
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- Stochastische Numerik (in FG 6)
  
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- Stochastic numerics (in FG 6)
 
 
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- Monte-Carlo-Verfahren (kinetische Gleichungen, Koagulationsdynamik,
Teilchensysteme; in FG 5, FG 6 und FG 7)
 
 
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- Monte Carlo processes (kinetic equations, coagulation
dynamics, particle systems, in FG 5, FG 6, and FG 7) 
 
 
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- Weiterentwicklung von Softwarepaketen des WIAS 
(AWS, BOP, ClusCorr98®, DiPoG, gltools, WIAS-HiTNIHS,  WIAS-TeSCA,  LDSL-tool,  
pdelib,  WIAS-SHarP  und
WIAS-QW, siehe S. 
 ; 
in FG 1, FG 2, FG 3, FG 4, FG 6 und FG 7) 
 
 
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- Further development of WIAS software packages
(AWS, BOP, ClusCorr98®, DiPoG, gltools, WIAS-HiTNIHS,  WIAS-TeSCA,  LDSL-tool,  
pdelib,  WIAS-SHarP  and
WIAS-QW, see page 
 ; 
in FG 1, FG 2, FG 3, FG 4, FG 6, and FG 7) 
 
  
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