Discrete transparent boundary conditions for the numerical solution of Fresnel's equation:
Abstract: "The paper presents a construction scheme of deriving transparent, i. e. reflection-free, boundary conditions for the numerical solution of Fresnel's equation (being formally equivalent to Schrödinger's equation). These boundary conditions appear to be of a nonlocal Cauchy t...
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1993
|
| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1993,24 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | Abstract: "The paper presents a construction scheme of deriving transparent, i. e. reflection-free, boundary conditions for the numerical solution of Fresnel's equation (being formally equivalent to Schrödinger's equation). These boundary conditions appear to be of a nonlocal Cauchy type. As it turns out, each kind of linear implicit discretization induces its own discrete transparent boundary conditions." |
| Beschreibung: | 33 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Schmidt, Frank |d 1959- |e Verfasser |0 (DE-588)1079145931 |4 aut | |
| 245 | 1 | 0 | |a Discrete transparent boundary conditions for the numerical solution of Fresnel's equation |c Frank Schmidt ; Peter Deuflhard |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1993 | |
| 300 | |a 33 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1993,24 | |
| 520 | 3 | |a Abstract: "The paper presents a construction scheme of deriving transparent, i. e. reflection-free, boundary conditions for the numerical solution of Fresnel's equation (being formally equivalent to Schrödinger's equation). These boundary conditions appear to be of a nonlocal Cauchy type. As it turns out, each kind of linear implicit discretization induces its own discrete transparent boundary conditions." | |
| 650 | 4 | |a Schrödinger equation | |
| 700 | 1 | |a Deuflhard, Peter |d 1944-2019 |e Verfasser |0 (DE-588)108205983 |4 aut | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1993,24 |w (DE-604)BV004801715 |9 1993,24 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006158297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006158297 | |
Datensatz im Suchindex
| _version_ | 1808137735850950656 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
2
DERIVATION
OF
TRANSPARENT
BOUNDARY
CONDITIONS
2
2.1
ADAPTIVE
ROTHE
METHOD
IN
THE
DIRECTION
OF
PROPAGATION
.
3
2.2
BOUNDARY
VALUE
PROBLEMS
IN
THE
TRANSVERSAL
PLANE
.
4
2.3
RECURSIVE
GENERATION
OF
BOUNDARY
DOMAIN
FUNCTIONS
.
7
3
ANALYSIS
OF
THE
CONSTRUCTED
BOUNDARY
CONDITIONS
9
3.1
PLANE
WAVE
SOLUTION
.
9
3.2
UNIFORM
MESH
AND
CONSTANT
COEFFICIENTS
.
10
3.3
CONSERVATION
OF
ENERGY
.
14
4
NUMERICAL
REALIZATION
18
5
APPLICATION
23 |
| any_adam_object | 1 |
| author | Schmidt, Frank 1959- Deuflhard, Peter 1944-2019 |
| author_GND | (DE-588)1079145931 (DE-588)108205983 |
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| author_role | aut aut |
| author_sort | Schmidt, Frank 1959- |
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| building | Verbundindex |
| bvnumber | BV009253717 |
| ctrlnum | (OCoLC)32423578 (DE-599)BVBBV009253717 |
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| id | DE-604.BV009253717 |
| illustrated | Illustrated |
| indexdate | 2024-08-23T00:55:18Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006158297 |
| oclc_num | 32423578 |
| open_access_boolean | |
| owner | DE-12 DE-188 |
| owner_facet | DE-12 DE-188 |
| physical | 33 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Schmidt, Frank 1959- Verfasser (DE-588)1079145931 aut Discrete transparent boundary conditions for the numerical solution of Fresnel's equation Frank Schmidt ; Peter Deuflhard Berlin Konrad-Zuse-Zentrum für Informationstechnik 1993 33 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1993,24 Abstract: "The paper presents a construction scheme of deriving transparent, i. e. reflection-free, boundary conditions for the numerical solution of Fresnel's equation (being formally equivalent to Schrödinger's equation). These boundary conditions appear to be of a nonlocal Cauchy type. As it turns out, each kind of linear implicit discretization induces its own discrete transparent boundary conditions." Schrödinger equation Deuflhard, Peter 1944-2019 Verfasser (DE-588)108205983 aut Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1993,24 (DE-604)BV004801715 1993,24 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006158297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schmidt, Frank 1959- Deuflhard, Peter 1944-2019 Discrete transparent boundary conditions for the numerical solution of Fresnel's equation Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Schrödinger equation |
| title | Discrete transparent boundary conditions for the numerical solution of Fresnel's equation |
| title_auth | Discrete transparent boundary conditions for the numerical solution of Fresnel's equation |
| title_exact_search | Discrete transparent boundary conditions for the numerical solution of Fresnel's equation |
| title_full | Discrete transparent boundary conditions for the numerical solution of Fresnel's equation Frank Schmidt ; Peter Deuflhard |
| title_fullStr | Discrete transparent boundary conditions for the numerical solution of Fresnel's equation Frank Schmidt ; Peter Deuflhard |
| title_full_unstemmed | Discrete transparent boundary conditions for the numerical solution of Fresnel's equation Frank Schmidt ; Peter Deuflhard |
| title_short | Discrete transparent boundary conditions for the numerical solution of Fresnel's equation |
| title_sort | discrete transparent boundary conditions for the numerical solution of fresnel s equation |
| topic | Schrödinger equation |
| topic_facet | Schrödinger equation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006158297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT schmidtfrank discretetransparentboundaryconditionsforthenumericalsolutionoffresnelsequation AT deuflhardpeter discretetransparentboundaryconditionsforthenumericalsolutionoffresnelsequation |