Allgemeine Informationen

Veranstaltungsname	Vorlesung: 03-M-NPDE-1 Numerical Methods for Partial Differential Equations
Untertitel
Veranstaltungsnummer	03-M-NPDE-1
Semester	WiSe 2025/2026
Aktuelle Anzahl der Teilnehmenden	31
Heimat-Einrichtung	Mathematik
Veranstaltungstyp	Vorlesung in der Kategorie Lehre
Nächster Termin	Mittwoch, 10.12.2025 12:00 - 14:00, Ort: MZH 2340
Art/Form
Englischsprachige Veranstaltung	Ja
ECTS-Punkte	9

Lehrende

Prof. Dr. Andreas Rademacher

Tutor/-innen

Räume und Zeiten

MZH 2340: Mittwoch: 12:00 - 14:00, wöchentlich (14x); Mittwoch: 14:00 - 16:00, wöchentlich (14x); Donnerstag: 12:00 - 14:00, wöchentlich (14x)

Modulzuordnungen

Universität Bremen
- Mathematics - Master Mathematics (Single Major Subject) without Application Subject, 2. Version gültig ab WiSe 2023/2024
  - Free Choice
    - 03-MAT-GS-FW - General Studies - Freie Wahl (gültig ab WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
  - Mathematics - Area of Specialization - Algebra - Compulsory Modules
    - 03-MAT-MA-D-A-ALG - Diversification A (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Analysis, Numerical Analysis or Statistics/Stochastics
    - 03-MAT-MA-D-B-ALG - Diversification B (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Analysis, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Analysis - Compulsory Modules
    - 03-MAT-MA-D-A-ANA - Diversification A (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
    - 03-MAT-MA-D-B-ANA - Diversification B (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Statistics/Stochastics - Compulsory Modules
    - 03-MAT-MA-D-A-STS - Diversification A (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
    - 03-MAT-MA-D-B-STS - Diversification B (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
  - Mathematics - Area of Specialization - Algebra - Compulsory Elective Modules
    - 03-MAT-MA-D-C-ALG - Diversification C (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Analysis, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Analysis - Compulsory Elective Modules
    - 03-MAT-MA-D-C-ANA - Diversification C (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Statistics/Stochastics - Compulsory Elective Modules
    - 03-MAT-MA-D-C-STS - Diversification C (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
  - Mathematics - Area of Specialization - Numerical Analysis - Compulsory Modules
    - 03-MAT-MA-SP-A-NUM - Specialization A (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Numerical Analysis
    - 03-MAT-MA-SP-B-NUM - Specialization B (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Numerical Analysis
  - Mathematics - Area of Specialization - Numerical Analysis - Compulsory Elective Modules
    - 03-MAT-MA-SP-C-NUM - Specialization C (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Numerical Analysis
- Mathematik - Bachelor Mathematik (Vollfach), 4. Version gültig ab WiSe 2024/2025
  - General Studies - Freie Wahl
    - 03-MAT-GS-FW - General Studies - Freie Wahl (gültig ab WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
- Mathematik - Bachelor Mathematik (Vollfach), 5. Version gültig ab WiSe 2025/2026
  - General Studies - Freie Wahl
    - 03-MAT-GS-FW - General Studies - Freie Wahl (gültig ab WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
- Industriemathematik - Bachelor Industriemathematik (Vollfach), 4. Version gültig ab WiSe 2025/2026
  - General Studies - Freie Wahl
    - 03-MAT-GS-FW - General Studies - Freie Wahl (gültig ab WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
- Mathematics - Master Mathematics (Single Major Subject) with Application Subject, 5. Version WiSe 2025/2026 - WiSe 2027/2028
  - Mathematics - Area of Specialization - Algebra - Compulsory Modules
    - 03-MAT-MA-D-A-ALG - Diversification A (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Analysis, Numerical Analysis or Statistics/Stochastics
    - 03-MAT-MA-D-B-ALG - Diversification B (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Analysis, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Analysis - Compulsory Modules
    - 03-MAT-MA-D-A-ANA - Diversification A (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
    - 03-MAT-MA-D-B-ANA - Diversification B (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Statistics/Stochastics - Compulsory Modules
    - 03-MAT-MA-D-A-STS - Diversification A (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
    - 03-MAT-MA-D-B-STS - Diversification B (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
  - Mathematics - Area of Specialization - Algebra - Compulsory Elective Modules
    - 03-MAT-MA-D-C-ALG - Diversification C (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Analysis, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Analysis - Compulsory Elective Modules
    - 03-MAT-MA-D-C-ANA - Diversification C (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Statistics/Stochastics - Compulsory Elective Modules
    - 03-MAT-MA-D-C-STS - Diversification C (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
  - Mathematics - Area of Specialization - Numerical Analysis - Compulsory Modules
    - 03-MAT-MA-SP-A-NUM - Specialization A (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Numerical Analysis
    - 03-MAT-MA-SP-B-NUM - Specialization B (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Numerical Analysis
  - Mathematics - Area of Specialization - Numerical Analysis - Compulsory Elective Modules
    - 03-MAT-MA-SP-C-NUM - Specialization C (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Numerical Analysis
- Industrial Mathematics and Data Analysis - Master Industrial Mathematics and Data Analysis (Single Major Subject) with Focus on Industrial Mathematics, 4. Version gültig ab SoSe 2025
  - Foundations
    - 03-MAT-MA-NPDE - Numerical Methods for Partial Differential Equations (gültig ab WiSe 2023/2024)
      - Lecture and Exercise on Numerical Methods for Partial Differential Equations
- Industrial Mathematics and Data Analysis - Master Industrial Mathematics and Data Analysis (Single Major Subject) with Focus on Data Analysis, 4. Version gültig ab SoSe 2025
  - Foundations
    - 03-MAT-MA-NPDE - Numerical Methods for Partial Differential Equations (gültig ab WiSe 2023/2024)
      - Lecture and Exercise on Numerical Methods for Partial Differential Equations
- Prozessorientierte Materialforschung (ProMat) - Masterstudiengang Prozessorientierte Materialforschung, 4. Version gültig ab WiSe 2025/2026
  - Basismodule
    - 04-PT-MA-PM-B1 - Mathematik (gültig ab WiSe 2025/2026)
      - Mathematik

Kommentar/Beschreibung

The course is dedicated to the numerical solution of partial differential equations. The focus is on finite differences and finite element methods.

Partial differential equations are a main component in the modelling of physical, chemical or biological phenomena in several spatial dimensions or in space and time. They also often occur in mathematical problems in geometry or calculus of variations. The lecture deals with the discretisation of partial differential equations and the estimation of the error between continuous and discrete solution. In particular, the finite difference and the finite element method are introduced and investigated. We first discuss the application of the methods to stationary elliptic problems. Later also time-dependent problems are considered. The connection of theory, numerical analysis and implementation is particularly important.

Anmeldemodus

Die Auswahl der Teilnehmenden wird nach der Eintragung manuell vorgenommen.

Nutzer/-innen, die sich für diese Veranstaltung eintragen möchten, erhalten nähere Hinweise und können sich dann noch gegen eine Teilnahme entscheiden.

Vorlesung: 03-M-NPDE-1 Numerical Methods for Partial Differential Equations - Details