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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