Alexander Rieder

Alexander Rieder is a Research Fellow and University Assistant in Computational Mathematics at TU Wien's Institute of Analysis and Scientific Computing. His work focuses on numerical methods for partial differential equations, particularly boundary element methods (BEM), finite element methods (FEM), and their applications in wave propagation and fractional calculus. He holds a PhD from TU Wien (2017) and has held postdoctoral positions at TU Wien and the University of Vienna. Notable achievements include the TU Best Paper Award 2020 for his contributions to numerical analysis.

Education:

• Bachelor of Science (BSc), Mathematics, TU Wien (1989)
• Diploma in Mathematics, TU Wien (2011)
• Doctorate (Dr.techn.), TU Wien (2017)

Research Interests: Alexander specializes in fractional differential operators, hp-adaptive FEM/BEM, and time-domain boundary integral equations. His projects include developing open-source libraries for advanced BEM simulations and studying wave propagation in composite media. Recent work emphasizes convolution quadrature for semigroups and nonlinear wave equations.

Teaching: Current courses include Numerics of Partial Differential Equations and Numerical Computation. He oversees seminars on differential equations and computational mathematics, emphasizing practical implementation and theoretical rigor.

Projects: Leading the Advanced BEM for Wave Propagation initiative, he designs algorithms to reduce computational effort while improving accuracy in wave simulations. The project also develops an open-source software library for broader academic use.