Selected talks by Douglas N. Arnold

The Third Pillar of Science, Simons Foundation Lecture, February 17, 2021.
Structure Preservation in the Discretization of Partial Differential Equations, invited address at the Joint Math Meetings 2021, January 9, 2021.
Preserving Geometry in Numerical Discretization, CMSA Colloquium, Harvard University, December 2, 2020.
Complexes from Complexes, International Conference on Computational Mathematics and Scientific Computing, Chinese Academy of Sciences, August 18, 2020.
Wave Localization and its Landscape, Distinguished lecture in the natural sciences, Shanghai Jiaotong University, April 11, 2020.
Finite Element Exterior Calculus and Applications, Peking University/BICMR, August 15-18, 2015.
       Part I       Part II       Part III       Part IV       Part V
Epilogue, SIAM Past President's Address, Minneapolis, July 11, 2012; highlights.
Ten Lectures on Finite Element Exterior Calculus, NSF/CBMS course, ICERM, June 11-15, 2012.
Finite Element Differential Forms on Simplices and Cubes, conference in the memory of J-L Lions, Fudan University, May 31, 2012.
Mathematics that Swings: the Math Behind Golf, the 2010 Maseeh Lecture, Portland State, May 11, 2010.
Fifty years of Whitney elements, Colloquium on the 50th anniversary of the journal Numerische Mathematik, Munich, June 16, 2009.
Stability, Consistency, and Convergence: Modern Variations on a Classical Theme, Distinguished Feng Kang Lecture given at the Chinese Academy of Sciences, April 7, 2009. Similar talk given as the joint AMS-MAA lecture at the Joint Math Meetings, Washington, DC, January 2009.
Finite element differential forms, this version from April 2009 given at the Institute for Computational Mathematics and Science/Engineering Computing, Chinese Academy of Sciences.
Finite element exterior calculus and the geometrical basis of numerical stability, this version from April 2009, given at Tsinghua University, Beijing and Fudan University, Shanghai.
Finite element exterior calculus: A new approach to the stability of finite elements, plenary talk at the 9th U.S. National Congress on Computational Mechanics, San Francisco, July 25, 2007.
Differential complexes and mixed finite elements for elasticity, workshop on Compatible Discretizations for PDE, Centre of Mathematics for Applications, Oslo, Norway, September 26, 2005.
Mathematics and the cosmos in the Einstein centenary: The new mathematical gravitational astronomy, Bullitt Lecture, University of Louisville, April 28, 2005.
Mathematics in a dangerous time, Keynote address for an Applied Math Workshop at University of Illinois, May 7, 2003.
From exact sequences to colliding black holes: Differential complexes in numerical analysis, Plenary address at ICM 2002, the International Congress of Mathematics, Beijing, 2002.
Numerical relativity, ICM 2002 Satellite Conference on Nonlinear PDE: Theory and Approximation, Hong Kong, August 30, 2002.
Mixed finite elements for elasticity, ICM 2002 Satellite Conference on Scientific Computing, Xi'an, August 16, 2002.
A quick introduction to the Einstein equations, tutorial delivered at the IMA workshop on Numerical Relativity, June 24, 2002.
Mathematics in industry, presentation delivered at the NSF VIGRE meeting, Reston, VA, May 4, 2002.
Approximation by quadrilateral finite elements, Sandia National Laboratory, Albuquerque, NM, February 19, 2002.
Questions on shell theory workshop on "Elastic Shells: Modeling, Analysis, and Computation", Mathematical Sciences Research Institute, Berkeley, CA, April 21, 2000.

Updated August 30, 2015