Christoph Schwab Explained

Christoph Schwab
Birth Date:	1962 10, df=yes
Birth Place:	Flörsheim am Main, Germany
Fields:	mathematical analysis, programming of numerical solution, partial differential equation, boundary integral equations
Workplaces:	University of Maryland, ETH Zurich
Thesis Title:	Dimensional Reduction for Elliptic Boundary Value Problems
Thesis Url:	https://www.elibrary.ru/item.asp?id=5914698
Thesis Year:	1989
Doctoral Advisor:	Ivo Babuška
Awards:	SIAM Fellow (2016) Fulbright Scholarship

Christoph Schwab (born 14 October 1962 in Flörsheim am Main, Germany) is a German applied mathematician, specializing in numerical analysis of partial differential equations and boundary integral equations.^[1]

Education and career

He studied mathematics from 1982 to 1985 at the Technische Universität Darmstadt. By means of a Fulbright Scholarship, from 1985 he studied at the University of Maryland, College Park, where he received his PhD in 1989.^[1] His thesis Dimensional Reduction for Elliptic Boundary Value Problems^[2] was written under the supervision of Ivo Babuška. Schwab was a postdoc for the academic year 1989–1990 at London's University of Westminster. At the University of Maryland, Baltimore County he was an assistant professor from 1990 to 1995 and was appointed in 1995 an associate professor. At ETH Zurich, Schwab was from 1995 to 1998 an associate professor and is since 1998 a full professor. For the academic year 1993–1994 he was a visiting scientist at the IBM Deutschland Wissenschaftliches Zentrum (IBM German Scientific Center) in Heidelberg.^[1]

In 2002 Schwab was an invited speaker at the International Congress of Mathematicians in Beijing.^[3]

Selected publications

Articles

10.1137/S0036142900380121. Local Discontinuous Galerkin Methods for the Stokes System. SIAM Journal on Numerical Analysis. 40. 319–343. 2002. Cockburn. Bernardo. Kanschat. Guido. Schötzau. Dominik. Schwab. Christoph. 207077291. 20.500.11850/145896. free.
10.1137/S0036142900374111. Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems. SIAM Journal on Numerical Analysis. 39. 6. 2133–2163. 2002. Houston. Paul. Schwab. Christoph. Süli. Endre.
10.1016/j.cma.2004.04.008. Finite elements for elliptic problems with stochastic coefficients. Computer Methods in Applied Mechanics and Engineering. 194. 2–5. 205–228. 2005. Frauenfelder. Philipp. Schwab. Christoph. Todor. Radu Alexandru. 2005CMAME.194..205F.
10.1016/j.jcp.2006.01.048. Karhunen–Loève approximation of random fields by generalized fast multipole methods. Journal of Computational Physics. 217. 1. 100–122. 2006. Schwab. Christoph. Todor. Radu Alexandru. 2006JCoPh.217..100S.
10.1093/imanum/drl025. Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. IMA Journal of Numerical Analysis. 27. 2. 232–261. 2007. Todor. Radu Alexandru. Schwab. Christoph.
Schwab. Christoph. Stevenson. Rob. Adaptive wavelet algorithms for elliptic PDE's on product domains. Mathematics of Computation. 77. 261. 2008. 71–92. 0025-5718. 10.1090/S0025-5718-07-02019-4. 2008MaCom..77...71S. free.
10.1007/s10208-010-9072-2. Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs. Foundations of Computational Mathematics. 10. 6. 615–646. 2010. Cohen. Albert. DeVore. Ronald. Ronald DeVore. Schwab. Christoph. 20.500.11850/210602. 3215578. free.
Book: 10.1007/978-3-540-68093-2_4. 39. 183–287. Boundary Element Methods. Springer Series in Computational Mathematics. 2010. Sauter. Stefan A.. Schwab. Christoph. 978-3-540-68092-5.
10.1007/s00211-011-0377-0. Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients. Numerische Mathematik. 119. 123–161. 2011. Barth. Andrea. Schwab. Christoph. Zollinger. Nathaniel. 20.500.11850/162459. 15998016. free.
10.1142/S0219530511001728. Analytic Regularity and Polynomial Approximation of Parametric and Stochastic Elliptic Pde's. Analysis and Applications. 09. 11–47. 2011. Cohen. Albert. Devore. Ronald. Schwab. Christoph. 20.500.11850/155035. free.

Books

Book: P - and hp - finite element methods : theory and applications in solid and fluid mechanics. Schwab, Christoph. Oxford University Press. 1998. 98023129. xii+374.

illustrated; 24 cm.

. 0198503903.
Book: Boundary Element Methods. 9783540680932. Sauter. Stefan A.. Schwab. Christoph. November 2010. Springer .
Book: Computational Methods for Quantitative Finance: Finite Element Methods for Derivative Pricing. 9783642354014. Hilber. Norbert. Reichmann. Oleg. Schwab. Christoph. Winter. Christoph. 2013-02-15. Springer .

References

Web site: Schwab, Christoph, Prof. Dr.. Department of Mathematics, ETH Zürich. 2019-12-01. 2020-01-13. https://web.archive.org/web/20200113105752/https://math.ethz.ch/research/seminar-for-applied-mathematics/christoph-schwab.html. dead.
Schwab, C. (1990). Dimensional reduction for elliptic boundary value problems.
Book: Schwab, Christoph. High dimensional finite elements for elliptic problems with multiple scales and stochastic data. Proceedings of the ICM, Beijing 2002. 2003. 3. 727–734. arXiv preprint