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teaching:ft1920:praktikum:start [2019/10/16 16:12] ipa more papers |
teaching:ft1920:praktikum:start [2021/03/02 13:28] (current) |
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- | {{ :teaching:ft1920:praktikum:files:al-mohy_higham_-_computing_the_action_of_the_matrix_exponential_with_an_application_to_exponential_integrators.pdf |}}====== Exponential Integrators with PyTorch ====== | + | ====== Exponential Integrators with PyTorch ====== |
===== Organisation ===== | ===== Organisation ===== | ||
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==== Introduction ==== | ==== Introduction ==== | ||
- | * {{teaching:ft1920:praktikum:files:niesen_and_wright_-_algorithm_919_a_krylov_subspace_algorithm_for_ev.pdf|Niesen, Wright - Algorithm 919: A Krylov Subspace Algorithm for Evaluating the φ-Functions Appearing in Exponential Integrators}} Good introduction, idea of time stepping | + | * {{teaching:ft1920:praktikum:files:niesen_and_wright_-_algorithm_919_a_krylov_subspace_algorithm_for_eva.pdf|Niesen, Wright - Algorithm 919: A Krylov Subspace Algorithm for Evaluating the φ-Functions Appearing in Exponential Integrators}} Good introduction, idea of time stepping |
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* {{teaching:ft1920:praktikum:files:al-mohy_higham_-_computing_the_action_of_the_matrix_exponential_with_an_application_to_exponential_integrators.pdf| Al-Hohy, Higham - Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators}} computing $e^A B$, computing $e^{tA} B$ over a time intervall | * {{teaching:ft1920:praktikum:files:al-mohy_higham_-_computing_the_action_of_the_matrix_exponential_with_an_application_to_exponential_integrators.pdf| Al-Hohy, Higham - Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators}} computing $e^A B$, computing $e^{tA} B$ over a time intervall | ||
* {{hochbruck_and_lubich_-_1997_-_on_krylov_subspace_approximations_to_the_matrix_ex.pdf| Hochbruck, Lubich - On Krylov subspace approximations to the Matrix Exponential Operator}} Error bounds | * {{hochbruck_and_lubich_-_1997_-_on_krylov_subspace_approximations_to_the_matrix_ex.pdf| Hochbruck, Lubich - On Krylov subspace approximations to the Matrix Exponential Operator}} Error bounds | ||
- | * {{teaching:ft1920:praktikum:files:saad_-_analysis_of_some_krylov_subspace_approximations_to.pdf|Saad - Analysis of some Krylov Subspace Approximations to the Matrix Exponential Operator}} error bounds | + | * {{teaching:ft1920:praktikum:files:saad_-_analysis_of_some_krylov_subspace_approximations_to.pdf|Saad - Analysis of some Krylov Subspace Approximations to the Matrix Exponential Operator}} Error bounds |