Applied mathematics is used to study advanced methods for modeling in technology as well as natural and social sciences. The Division of Applied Mathematics (TIMA) conducts research in computational mathematics, mathematical statistics and optimization.

## Subject areas at the Division of Applied Mathematics (TIMA)

### Computational Mathematics

Computational mathematics develops and analyses numerical methods and algorithms for the solution of problems in science and engineering.

Important topics are well-posedness of the governing partial differential equations and convergence of the numerical approximation. Accuracy, stability, efficiency, software aspects and computer implementation are important.

**Contact**

### Mathematical Statistics

Mathematical statistics is the science of randomness and probabilities.

The research within the subject is divided into probability theory and statistical inference, where statistical inference (how to draw conclusions from random data) is based on probability theory.

### Contact

### Optimization

Optimization aims at finding the best solutions to difficult problems.

All large-scale and complex operations must be planned, especially where cost is a factor. In many cases, the problems are too difficult to solve for a human being. A common property for many of these problems is that they give large, difficult combinatorial models that require research to be resolved.

### Contact

## Research areas at the Division of Applied Mathematics (TIMA)

### Modern Multivariate Statistical Analysis

Nowadays there is a great need to analyse complex high-dimensional data. Modern theories must be developed through the knowledge of the classical methods of multivariate statistics.

### Numerical Solutions of Time-Dependent Partial Differential Equations

Well-posedness of the governing partial differential equations lead to effective and accurate numerical methods for the analysis of physical processes in science and engineering.

### Operations Research Methods for Scheduling and Resource Allocation Problems

In this research project, we are developing mathematical models and solution methods for practically relevant but computationally challenging problems in scheduling and resource allocation.

### Decision support for railway crew planning

For our society to fully reap the benefits of sustainable train travel, careful resource planning is essential. Passengers need to be able to rely on that trains are on time and train operators need to make efficient use of their vehicles and crew.

### Optimization of Snow Removal in Cities

Snow removal in a city is a major undertaking that requires route planning and efficient driving schedules. It is a difficult and complex optimization problem and research is needed to be able to get good solutions.

### Research collaboration in Mathematics with low income countries and regions

The Department of Mathematics contributes to the development of capacity for higher education and research in low income countries and regions through collaborative projects in Africa and Asia.

## Doctoral studies

### Doctoral studies in Mathematical Sciences

Within mathematical sciences we study questions of a mathematical character, either from a purely theoretical perspective or directed towards practical applications. In either case the mathematical problem and its properties is the main focus.

### Research School in Interdisciplinary Mathematics

The Department of Mathematics offers a doctoral programme for students with a strong mathematical interest who are interested to apply mathematics on practical problems in different fields such as engineering, business, computer science and industry.

### PhD courses at the Department of Mathematics

The Department of Mathematics offers PhD courses in Mathematical Sciences, which includes five specialisations: Computational Mathematics, Interdisciplinary Mathematics, Mathematics, Mathematical Statistics and Optimization.

PhD courses at the Department of Mathematics

## Contacts at the Division of Applied Mathematics (TIMA)

### Head of Division

### Director of Studies

### Administrator

### Address

#### Visiting address

Department of Mathematics, B Building, entrance 21-25, Campus Valla

#### Postal address

Department of Mathematics

581 83 Linköping

Sweden

## Seminars

### Seminars in Computational Mathematics

The seminars in Computational Mathematics are organised by the Department of Mathematics.

### Seminars in Interdisciplinary Mathematics

The aim of the seminars is to obtain knowledge about interesting mathematical application problems. We invite people from different companies and university institutions to discuss problems and technical challenges they have in their operations.

### Seminars in Mathematical Statistics

The seminars are organised by the Department of Mathematics and form part of the seminar series "Seminars in Statistics and Mathematical Statistics". The topic is probability theory, random processes, statistical theory, and applied statistics.

## New Publications

### 2023

### 2022

## Related content

### Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.

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