Johann Brauchart

Priv.-Doz. Dipl.-Ing. Dr.techn.

1995 …2022
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Sobolev Spaces Mathematics
Smoothness Mathematics
Logarithmic Mathematics
Charge Mathematics
External Field Mathematics
Explicit Formula Mathematics
Unit Sphere Mathematics
Euclidean space Mathematics

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Research Output 2001 2018

Explicit families of functions on the sphere with exactly known Sobolev space smoothness

Brauchart, J. S., 23 May 2018, Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan. Springer International Publishing AG , p. 153-177 25 p.

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Sobolev Spaces
Smoothness
Explicit Formula
Antipode
Fourier Expansion

Hyperuniform point sets on the sphere: deterministic aspects

Brauchart, J., Grabner, P. & Kusner, W., 8 May 2018, In : Constructive approximation. 2019, 50, p. 45–61 17 p.

Research output: Contribution to journalArticleResearchpeer-review

Logarithmic and riesz equilibrium for multiple sources on the sphere: The exceptional case

Brauchart, J. S., Dragnev, P. D., Saff, E. B. & Womersley, R. S., 23 May 2018, Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan. Springer International Publishing AG , p. 179-203 25 p.

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Logarithmic
Charge
External Field
Logarithmic Potential
Riesz Potential

Explicit formulas for the Riesz energy of the Nth roots of unity

Brauchart, J., 2016, Modern trends in constructive function theory: Papers from the Constructive Functions 2014 Conference in honor of Ed Saff's 70th birthday held at Vanderbilt University, Nashville, TN, May 26–30, 2014. Edited by Douglas P. Hardin, Doron S. Lubinsky and Brian Z. Simanek. American Mathematical Society, Vol. 661. p. 101-120 (Contemporary Mathematics).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Minimal Energy, External Fields, and Numerical Integration on a Sphere

Brauchart, J., 2016, 390 p.

Research output: ThesisHabilitationResearch

Activities 2002 2019

International Congress on Industrial and Applied Mathematics

Johann Brauchart (Organiser)
16 Jul 2019

Activity: Participation in or organisation ofConference or symposium (Participation in/Organisation of)

Discrepancy and Hyperuniformity of point set sequences: practical aspects

Johann Brauchart (Speaker)
17 Jul 2019

Activity: Talk or presentationInvited talk at conference or symposiumScience to science

SFB Workshop and Winter School on Local Statistics of Point Sequences

Johann Brauchart (Participant)
25 Feb 20191 Mar 2019

Activity: Participation in or organisation ofWorkshop, seminar or course (Participation in/Organisation of)

Numerical Integration and Potential Theory

Johann Brauchart (Speaker)
8 Apr 2019

Activity: Talk or presentationTalk at workshop, seminar or courseScience to science

Optimal Point Configurations and Potential Theory

Johann Brauchart (Participant)
8 Apr 201911 Apr 2019

Activity: Participation in or organisation ofWorkshop, seminar or course (Participation in/Organisation of)

Prizes

APART-Stipendium

Johann Brauchart (Recipient), 24 Oct 2008

Prize: Prizes / Medals / Awards

Lise-Meitner-Programm

Johann Brauchart (Recipient) & Peter Grabner (Recipient), 1 Oct 2016

Prize: Prizes / Medals / Awards

Oberwolfach Leibniz Fellows Programme (OWLF)

Johann Brauchart (Recipient), 28 Sep 2008

Prize: Prizes / Medals / Awards

Projects 1995 2022

Special Research Area (SFB) F55 Quasi-Monte Carlo Methods: Theory and Applications

Grabner, P., Tichy, R., Kusner, W. B., Ziefle, J., Brauchart, J., Iaco, M. R. & Aistleitner, C.

1/02/1431/01/22

Project: Research project

Analytic Combinatorics: Analytic Combinatorics and Probabilistic Number Theory

Wagner, S., Madritsch, M., Aistleitner, C., Barat, G., Thuswaldner, J., Grabner, P., Van De Woestijne, C. E., Heuberger, C., Brauchart, J., Berkes, I., Filipin, A., Zeiner, M. & Tichy, R.

1/01/0631/07/12

Project: Research project

Concrete Mathematics: Fractals, Digital Functions, and Point Distributions (START Y96-MAT)

Brauchart, J., Teufl, E., Krön, B., Grabner, P., Schweitzer, G., Metz, V., Safer, T., Lamberger, M. & Steinsky, B.

1/10/9830/09/05

Project: Research project