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Deuflhard, Peter
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A guide to numerical modelling in systems biology
Deuflhard P., Röblitz S., Springer Publishing Company, Incorporated, New York, NY, 2015. 168 pp. Type: Book (978-3-319200-58-3)
I had hoped to acquire further notions in systems biology, a new interdisciplinary area aimed at modeling and identifying the parameters of biochemical, physiological, molecular, and genetic processes, while also finding tools to build...
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Nov 24 2015
MATHEON: mathematics for key technologies
Deuflhard P., Grötschel M., Hömberg D., Horst U., Kramer J., Mehrmann V., Polthier K., Schmidt F., Schütte C., Skutella M., Sprekels J., European Mathematical Society, Zurich, Switzerland, 2014. 466 pp. Type: Book (978-3-037191-37-8)
World-famous mathematician G. H. Hardy took public pride in touting the purity of pure mathematics [1,2] and in deprecating applied mathematics as “ugly” and second rate. That Hardy was, as the phrase goes, R...
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Feb 12 2015
Newton methods for nonlinear problems: affine invariance and adaptive algorithms
Deuflhard P., Springer Publishing Company, Incorporated, New York, NY, 2011. 436 pp. Type: Book (978-3-642238-98-7)
The numerical treatment of nonlinear problems in science and engineering often involves the solution of finite dimensional algebraic systems, or infinite systems in the case of ordinary or partial differential equations. Depending on t...
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Jun 21 2012
Consistency results on Newmark methods for dynamical contact problems
Klapproth C., Schiela A., Deuflhard P. Numerische Mathematik 116(1): 65-94, 2010. Type: Article
Mechanical systems in which frictionless contact takes place have important applications, especially in biomechanics. Modeling these, using the Signorini boundary conditions, leads to severe problems, both in the analysis and in practi...
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Oct 28 2010
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