Workgroup on Numerics of Evolution Equations, Stiff and Singular Problems
Workgroup on Evolution Equations
Ao.Univ.-Prof.i.R. Dipl.-Ing. Dr.techn.Winfried Auzinger
Associate Professor of Numerics of Evolution Equations
Phone: +43 1 58801 10153 Call Winfried Auzinger
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Research interests
The activities of the workgroup comprise analysis and implementation of numerical integration algorithms for ODE systems and some classes of PDEs. The main focus is on evolution equations, stiff systems and singular and impulsive boundary value problems. Analysis of error structures, development of practical error estimators and adaptive integration are major issues. All this includes software development and the solution of various problems arising in applications.
Workgroup on Numerics of ODEs
Ao.Univ.Prof.in Mag.a rer.nat. Dr.in rer.nat.Gabriela Schranz-Kirlinger
Associate Professor of Numerics of ODEs
Phone: +43 1 58801 10158 Call Gabriela Schranz-Kirlinger
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Student Assistant
Research interests
This workgroup is focused on the numerical solution of differential equations, numerical analysis and research issues from the field of biomathematics.
Arbeitsgruppe Numerik von singulären ODEs und DAEs
Ao.Univ.-Prof.in.i.R. Dipl.-Ing. Dr.techn.Ewa Weinmüller
Associate Professor of Numerics of ODEs and DAEs
Phone: +43 1 58801 10155 Call Ewa Weinmüller
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Research interests
The main research focus is on numerical methods for classes of ODEs and DAEs relevant for applications especially singular and stiff problems that arise when studying e.g. turbulent flows, reaction-diffusion systems, nonlinear optics models, and shallow water phenomena. The research concentrates on the error analysis and the design of reliable algorithms. The techniques also apply to certain types of PDEs, which under self-similar transformation reduce to ODEs with singularities. The group has expertise in the numerical analysis and simulation for ODEs, DAEs, and PDEs, collocation methods, error control, adaptivity, and software development.