Construction of discrete transparent boundary conditions for Schrödinger type equations:
Abstract: "We present a general technique for constructing nonlocal transparent boundary conditions for time-discretized one-dimensional Schrödinger type equations. The main tool of construction is the discrete counterpart to Mikusiński's continuous algebraic operator approach. Existing te...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1997
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| Series: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1997,60 |
| Subjects: | |
| Summary: | Abstract: "We present a general technique for constructing nonlocal transparent boundary conditions for time-discretized one-dimensional Schrödinger type equations. The main tool of construction is the discrete counterpart to Mikusiński's continuous algebraic operator approach. Existing techniques are simplified and generalized. Both adaptive time-steps and time-dependent exterior potentials are taken into account." |
| Physical Description: | 14 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Construction of discrete transparent boundary conditions for Schrödinger type equations |c Frank Schmidt |
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| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1997,60 | |
| 520 | 3 | |a Abstract: "We present a general technique for constructing nonlocal transparent boundary conditions for time-discretized one-dimensional Schrödinger type equations. The main tool of construction is the discrete counterpart to Mikusiński's continuous algebraic operator approach. Existing techniques are simplified and generalized. Both adaptive time-steps and time-dependent exterior potentials are taken into account." | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Finite element method | |
| 650 | 4 | |a Schrödinger equation | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1997,60 |w (DE-604)BV004801715 |9 1997,60 | |
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| id | DE-604.BV017189891 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:08:10Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010360820 |
| oclc_num | 39184661 |
| open_access_boolean | |
| owner | DE-703 DE-188 |
| owner_facet | DE-703 DE-188 |
| physical | 14 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Schmidt, Frank 1959- Verfasser (DE-588)1079145931 aut Construction of discrete transparent boundary conditions for Schrödinger type equations Frank Schmidt Berlin Konrad-Zuse-Zentrum für Informationstechnik 1997 14 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1997,60 Abstract: "We present a general technique for constructing nonlocal transparent boundary conditions for time-discretized one-dimensional Schrödinger type equations. The main tool of construction is the discrete counterpart to Mikusiński's continuous algebraic operator approach. Existing techniques are simplified and generalized. Both adaptive time-steps and time-dependent exterior potentials are taken into account." Boundary value problems Finite element method Schrödinger equation Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1997,60 (DE-604)BV004801715 1997,60 |
| spellingShingle | Schmidt, Frank 1959- Construction of discrete transparent boundary conditions for Schrödinger type equations Boundary value problems Finite element method Schrödinger equation |
| title | Construction of discrete transparent boundary conditions for Schrödinger type equations |
| title_auth | Construction of discrete transparent boundary conditions for Schrödinger type equations |
| title_exact_search | Construction of discrete transparent boundary conditions for Schrödinger type equations |
| title_full | Construction of discrete transparent boundary conditions for Schrödinger type equations Frank Schmidt |
| title_fullStr | Construction of discrete transparent boundary conditions for Schrödinger type equations Frank Schmidt |
| title_full_unstemmed | Construction of discrete transparent boundary conditions for Schrödinger type equations Frank Schmidt |
| title_short | Construction of discrete transparent boundary conditions for Schrödinger type equations |
| title_sort | construction of discrete transparent boundary conditions for schrodinger type equations |
| topic | Boundary value problems Finite element method Schrödinger equation |
| topic_facet | Boundary value problems Finite element method Schrödinger equation |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT schmidtfrank constructionofdiscretetransparentboundaryconditionsforschrodingertypeequations |