General information

Course name	Lecture: 03-M-NPDE-1 Numerical Methods for Partial Differential Equations
Subtitle
Course number	03-M-NPDE-1
Semester	WiSe 2025/2026
Current number of participants	30
Home institute	Mathematik
Courses type	Lecture in category Teaching
First date	Wednesday, 15.10.2025 12:00 - 14:00, Room: MZH 2340
Type/Form
Englischsprachige Veranstaltung	Ja
ECTS points	9

Lecturers

Prof. Dr. Andreas Rademacher

Tutors

Rooms and times

MZH 2340: Wednesday: 12:00 - 14:00, weekly (14x); Wednesday: 14:00 - 16:00, weekly (14x); Thursday: 12:00 - 14:00, weekly (14x)

Module assignments

Universität Bremen
- Mathematics - Mathematics without Application Subject (MPO 2022), 2. Version valid from WiSe 2023/2024
  - Free Choice
    - 03-MAT-GS-FW - General Studies - Freie Wahl (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from WiSe 2023/2024)
      - Lecture and Exercise from the Area of Numerical Analysis
    - 03-MAT-MA-SP-B-NUM - Specialization B (Numerical Analysis) (valid from 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) (valid from WiSe 2023/2024)
      - Lecture and Exercise from the Area of Numerical Analysis
- Mathematik - Mathematik (BPO 2022), 4. Version WiSe 2024/2025 - SoSe 2027
  - General Studies - Freie Wahl
    - 03-MAT-GS-FW - General Studies - Freie Wahl (valid from WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
- Mathematik - Mathematik (BPO 2022), 5. Version valid from WiSe 2025/2026
  - General Studies - Freie Wahl
    - 03-MAT-GS-FW - General Studies - Freie Wahl (valid from WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
- Industriemathematik - Industriemathematik (BPO 2022), 4. Version WiSe 2025/2026
  - General Studies - Freie Wahl
    - 03-MAT-GS-FW - General Studies - Freie Wahl (valid from WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
- Mathematics - Mathematics with Application Subject (MPO 2022), 5. Version WiSe 2025/2026 - SoSe 2027
  - Mathematics - Area of Specialization - Algebra - Compulsory Modules
    - 03-MAT-MA-D-A-ALG - Diversification A (Algebra) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from 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) (valid from WiSe 2023/2024)
      - Lecture and Exercise from the Area of Numerical Analysis
    - 03-MAT-MA-SP-B-NUM - Specialization B (Numerical Analysis) (valid from 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) (valid from 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 SoSe 2025 - WiSe 2025/2026
  - Foundations
    - 03-MAT-MA-NPDE - Numerical Methods for Partial Differential Equations (valid from 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 SoSe 2025 - WiSe 2025/2026
  - Foundations
    - 03-MAT-MA-NPDE - Numerical Methods for Partial Differential Equations (valid from WiSe 2023/2024)
      - Lecture and Exercise on Numerical Methods for Partial Differential Equations
- Prozessorientierte Materialforschung (ProMat) - Prozessorientierte Materialforschung (MPO 2018), 4. Version valid from WiSe 2025/2026
  - Basismodule
    - 04-PT-MA-PM-B1 - Mathematik (valid from WiSe 2025/2026)
      - Mathematik

Comment/Description

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.

Registration mode

After enrolment, participants will manually be selected.

Potential participants are given additional information before enroling to the course.

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