Publications of Pawan Kumar Goyal

Goyal, P. K. & Redmann, M. (2019)Time-Limited H₂-Optimal Model Order ReductionApplied Mathematics and Computation, 355, 184–197doi: 10.1016/j.amc.2019.02.065.

Pontes Duff, I., Goyal, P. K., & Benner, P. (2019)Balanced Truncation for a Special Class of Bilinear Descriptor SystemsIEEE Control Systems Letters, 3 (3), 535–540doi: 10.1109/LCSYS.2019.2911904.

Benner, P., Goyal, P. K., & Gugercin, S. (2018)H₂-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control SystemsSIAM Journal on Matrix Analysis and Applications, 39 (2), 983–1032doi: 10.1137/16M1098280.

Ahmad, M. I., Benner, P., & Goyal, P. K. (2017)Krylov Subspace-Based Model Reduction for a Class of Bilinear Descriptor SystemsJournal of Computational and Applied Mathematics, 315, 303–318doi: 10.1016/j.cam.2016.11.009.

Ahmad, M. I., Benner, P., Goyal, P. K., & Heiland, J. (2017)Moment-Matching Based Model Reduction for Navier–Stokes Type Quadratic-Bilinear Descriptor SystemsZeitschrift für Angewandte Mathematik und Mechanik, 97 (10), 1252–1267doi: 10.1002/zamm.201500262.

Bremer, J., Goyal, P. K., Feng, L., Benner, P., & Sundmacher, K. (2017)POD-DEIM for Efficient Reduction of a Dynamic 2D Catalytic Reactor ModelComputers & Chemical Engineering, 106, 777–784doi: 10.1016/j.compchemeng.2017.02.032.

Benner, P. & Goyal, P. K. (2016)Multipoint Interpolation of Volterra Series and H₂-Model Reduction for a Family of Bilinear Descriptor SystemsSystems & Control Letters, 97, 1–11doi: 10.1016/j.sysconle.2016.08.008.

Pontes Duff, I., Goyal, P. K., & Benner, P. (2022)Data-Driven Identification of Rayleigh-Damped Second-Order SystemsRealization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas255–272Cham: Springer International Publishingdoi: 10.1007/978-3-030-95157-3_14.

Benner, P. & Goyal, P. K. (2018)An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes EquationsReduced-Order Modeling for Simulation and Optimization1–19Cham: Springer International Publishingdoi: 10.1007/978-3-319-75319-5_1.

Benner, P., Goyal, P. K., & Redmann, M. (2017)Truncated Gramians for Bilinear Systems and their Advantages in Model Order ReductionModel Reduction of Parametrized Systems285–300Cham: Springer International Publishingdoi: 10.1007/978-3-319-58786-8_18.

Fitzer, U., Goyal, P. K., Schuetz, A., Zawra, I., Hohlfeld, D., & Bechtold, T. (2024)Comparison of Model Order Reduction Methods for a Linear Finite Element Model of an Electrically Stimulated NeuronIn: 2024 25th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, EuroSimE 2024doi: 10.1109/EuroSimE60745.2024.10491473.

Peterson, L., Bremer, J., Goyal, P. K., Gosea, I. V., Benner, P., & Sundmacher, K. (2024)Learning Reduced-Order Models for Dynamic CO2 Methanation using Operator InferenceIn: Proceedings of the 34th European Symposium on Computer Aided Process Engineering / 15th International Symposium on Process Systems Engineering (ESCAPE34/PSE24).

Benner, P., Goyal, P. K., Heiland, J., & Pontes Duff, I. (2023)A Quadratic Decoder Approach to Nonintrusive Reduced-Order Modeling of Nonlinear Dynamical SystemsIn: Proceedings in Applied Mathematics and Mechanics, e202200049doi: 10.1002/pamm.202200049.

Bremer, J., Goyal, P. K., Feng, L., Benner, P., & Sundmacher, K. (2016)Nonlinear Model Order Reduction for Catalytic Tubular ReactorsIn: 26th European Symposium on Computer Aided Process Engineering, 2373–2378doi: 10.1016/B978-0-444-63428-3.50400-8.

Goyal, P. K. & Benner, P. (2016)An Iterative Model Order Reduction Scheme for a Special Class of Bilinear Descriptor Systems Appearing in Constraint Circuit SimulationIn: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering: Volume II, 4196–4212.

Goyal, P. K., Ahmad, M. I., & Benner, P. (2015)Model Reduction of Quadratic-Bilinear Descriptor Systems via Carleman BilinearizationIn: Proceedings of 2015 European Control Conference (ECC 2015), 1177–1182doi: 10.1109/ECC.2015.7330699.

Benner, P., Goyal, P. K., & Pontes Duff, I. (2020)Balanced Truncation for Linear System with Quadratic Output: Theory, Error Bounds and NumericsIn: XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, 327–328.

Benner, P., Goyal, P. K., & Pontes Duff, I. (2020)Automatic Generation of Minimal and Reduced Models for Structured Parametric Dynamical SystemsIn: XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, 199–200.

Benner, P. & Goyal, P. K. (2016)Algebraic Gramians for Quadratic-Bilinear Systems and their Application in Model Order ReductionIn: Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems, 81–83.

Peterson, L., Bremer, J., Goyal, P. K., Gosea, I. V., Benner, P., & Sundmacher, K.Learning reduced-order models for dynamic CO2 methanation using operator inferencePresented at: ESCAPE34 - PSE24Florence, Italy, June 2, 2024.