# Fingerprint Dive into the research topics where Karsten Matthies is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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### Mathematics

Homogenization

Solitary Waves

Ludwig Boltzmann

Traveling Wave

Linear Boltzmann Equation

Periodic Media

Averaging

Collision

Regularity

Reaction-diffusion Equations

Justification

Rayleigh

Homoclinic Orbit

Tagged Particle

High Energy

Approximation

Forcing

Backward Error Analysis

Bogdanov-Takens Bifurcation

Ordinary differential equation

Initial conditions

Exponential Bound

Oscillating Coefficients

Arbitrary

Symmetry

Dynamical system

Nonautonomous Equation

Elliptic PDE

Periodic Coefficients

Discretization Scheme

Hard Spheres

Regularity Properties

Wave Packet

Numerical Scheme

Parabolic Partial Differential Equations

Nonlinear Waves

Kinetic Theory

Modified Equations

Coupled Oscillators

Elliptic Systems

Kolmogorov Equation

Long-time Behavior

Linear Order

Error Bounds

Error term

Lattice Model

Dislocation

Annihilation

Elliptic Operator

Probability Measure

### Engineering & Materials Science

Boltzmann equation

Solitons

Partial differential equations

Ordinary differential equations

Hamiltonians

Mechanics

Kinetic theory

Gases

Error analysis

Drag coefficient

Dynamical systems

Nonlinear equations

Differential equations

Phase transitions

Kinetics

Microstructure

Screw dislocations

Trees (mathematics)

Eigenvalues and eigenfunctions

Materials science