ICIAM Research Areas Classification

00

Invited Speakers

01

Computing [including: computational science and engineering, scientific computing, parallel computing, high performance computing, information technology, software engineering, the Web]

010:

General

011:

Knowledge and information systems

012:

Numerics, algorithms

013:

Data analysis and visualisation

014:

Collaboration tools

015:

None of the above, but in this section

02

Numerical Analysis [including: numerical linear algebra, numerical methods for ODEs, DAEs, and PDEs, mesh generation]

020:

Numerical linear algebra

021:

Numerical methods for interpolation and approximation

022:

Numerical methods for quadrature

023:

Numerical methods for integral equations

024:

Numerical methods for ODEs and DAEs

025:

Numerical methods for PDEs: evolution problems

026:

Numerical methods for PDEs: stationary problems

027:

Mesh generation, adaptive methods, multigrid

028:

Alternative discretisation methods

029:

None of the above, but in this section

03

Nonlinear Analysis and Dynamical Systems [including: bifurcations, nonlinear oscillations, hysteresis, solitons and multivariate solitons, chaos]

030:

Integrable systems, solitons, control theory

031:

Statistical methods

032:

Nonlinear time-series

033:

Nonlinear PDEs and ODEs, oscillations

034:

Geometric aspects, symmetries

035:

Classical and quantum chaos

036:

Model systems, diffusion, biological systems

037:

Global structure, hyperbolicity

038:

Lyapunov stability

039:

None of the above, but in this section

04

Partial Differential Equations linear and non-linear

040:

Reaction-diffusion equations, steady-state solutions, bifurcation

041:

Asymptotic solutions, asymptotic domain decomposition

042:

Regularity theory, well-posedness

043:

Iterative methods, functional differential equations

044:

Blow-up problems

045:

Free-boundary problems

046:

Conservation laws, symmetries

047:

Inverse problems, ill-posed problems

048:

Spectral problems, stability, scattering

049:

None of the above, but in this section

05

Applied Analysis [including: integral equations, functional equations, Fourier analysis, wavelets, asymptotics, perturbation methods, special functions, evolution problems]

050:

Wave propagation, scattering

051:

Coupled systems

052:

Asymptotics, perturbation theory

053:

Complementarity

054:

Wavelets

055:

None of the above, but in this section

06

Optimization [including: control theory, systems theory, operations research, stochastic optimization]

060:

General

061:

Optimization with PDEs

062:

Control and robustness for nonlinear dynamical systems

063:

Algorithms and applications of nonlinear optimization

064:

Complementarity, equilibrium problems, variational inequalities

065:

Ill-conditioned, inverse and saddle-point problems

066:

Scheduling, inventory, graphs and discrete optimization

067:

Global, multi-objective and robust optimization methods

068:

Security and defence

069:

None of the above, but in this section

07

Discrete Mathematics [including: integer programming, networks]

070:

General

071:

Coding theory

072:

Networks, graphs

073:

None of the above, but in this section

08

Probability and Statistics [including: stochastic PDE, telecommunications, financial mathematics]

080:

General

081:

Statistical Inference

082:

Linear models

083:

Design of experiments

084:

Data analysis, data mining, inverse problems

085:

Computational methods

086:

Monte Carlo methods

087:

Stochastics, processes, analysis

088:

Finance

089:

None of the above, but in this section

09

Solid Mechanics [including: material properties, composite materials, soil mechanics, particulate flow, plasticity, structures]

090:

Crystals

091:

Manufacturing/industry

092:

Material interfaces, composites, microstructure, smart materials

093:

Granular material

094:

Waves, vibrations, cracks, shocks

095:

Body dynamics

096:

Theoretical topics, special computations

097:

None of the above, but in this section

10

Fluid Mechanics [including: turbulence, aeronautics]

100:

Porous media

101:

Waves, free surfaces, stratified fluids

102:

Stabilitiy theory

103:

Incompressible flows and non-Newtonian flows

104:

Compressible flows

105:

Fluid-strucuture interaction, moving boundary

106:

Computational fluid dynamics

107:

Convection, heat and mass transfer, mixing

108:

Films, jets, surface tension

11

Chemistry and Materials [including: molecular modelling, polymers, chemical engineering]

110:

Ab initio computations

111:

Molecular modelling

112:

Polymers

113:

Chemical engineering

114:

None of the above, but in this section

12

Bio-Mathematics [including: agricultural applications, medical applications]

120:

General

121:

Ecology, epidemiology

122:

Biophysics

123:

Tumor and cardiac modelling

124:

DNA sequencing, gene technology

125:

Other medical applications

126:

None of the above, but in this section

13

Physics and Electrical Engineering [including: electromagnetics, semiconductors, circuit analysis]

130:

General

131:

Electromagnetics and photonics

132:

Semiconductor device simulation

133:

Circuit analysis

134:

None of the above, but in this section

14

Computational Sciences [including: meteorology, climate modelling, earthquake, sciences, cosmology]

140:

General

141:

Meteorology,

142:

Climate modelling,

143:

Earthquake prediction

144:

Tsunami prediction

145:

Astrophysics

146:

Cosmology

147:

None of the above, but in this section

15

Modelling and Simulation for Industry [including: combustion theory, heat transfer, engineering applications, inverse problems]

150:

General

151:

Manufacturing

152:

Minerals/metals

153:

Combustion

154:

Microscale, porous media

155:

Inverse problems

156:

Fluids

157:

General

158:

Security/defence

159:

None of the above, but in this section

16

Pure Mathematics

160:

General

161:

Abstract Algebra and Number Theory

162:

Geometry and Topology

163:

Analysis, including real, complex, functional and harmonic analysis

164:

Logic and Category Theory

165:

None of the above, but in this section

17

Mathematics and Computing Education, Culture and History

170:

History of mathematics and computing

171:

Mathematics, computer science education

172:

Computational science education

173:

Recreational mathematics

174:

None of the above, but in this section