Direct methods for sparse matrices
Direct methods for sparse matrices
One-step and extrapolation methods for differential- algebraic systems
Numerische Mathematik
Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
LAPACK's user's guide
Journal of Computational Physics
Running air pollution models on massively parallel machines
Parallel Computing
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
Parallel and sequential methods for ordinary differential equations
Parallel and sequential methods for ordinary differential equations
Explicit methods for stiff ODEs from atmospheric chemistry
NUMDIFF-7 Selected papers of the seventh conference on Numerical treatment of differential equations
Parallel computation in atmospheric chemical modeling
Parallel Computing
The current state and the future directions in air quality modelling
Systems Analysis Modelling Simulation - Special issue on environmental modelling and simulation
Efficient implementation of fully implicit methods for atmospheric chemical kinetics
Journal of Computational Physics
Improved Quasi-Steady-State-Approximation Methods for Atmospheric Chemistry Integration
SIAM Journal on Scientific Computing
Applied numerical linear algebra
Applied numerical linear algebra
Performance and portability of an air quality model
Parallel Computing - Special issue on applications: parallel computing in regional weather modeling
Using partitioned ode solvers in large air pollution models
Systems Analysis Modelling Simulation - Special issue on air pollution modelling
Solving Index-1 DAEs in MATLAB and Simulink
SIAM Review
Proceedings of the on Numerical methods for differential equations
Studying variations of pollution levels in a given region of Europe during a long time-period
Systems Analysis Modelling Simulation - Special issue on air pollution modelling
Numerical Linear Algebra for High Performance Computers
Numerical Linear Algebra for High Performance Computers
Large Scale Computations in Air Pollution Modelling
Large Scale Computations in Air Pollution Modelling
Modeling the Long-Range Transport of Air Pollutants
IEEE Computational Science & Engineering
WNAA '96 Proceedings of the First International Workshop on Numerical Analysis and Its Applications
Running an Advection-Chemistry Code on Message Passing Computers
Proceedings of the 5th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
Parallel matrix computations in air pollution modelling
Parallel Computing - Parallel matrix algorithms and applications
Parallel runs of a large air pollution model on a grid of Sun computers
Mathematics and Computers in Simulation
Studying the sensitivity of pollutants' concentrations caused by variations of chemical rates
Journal of Computational and Applied Mathematics
Large-scale computations with the unified danish eulerian model
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Influence of climatic changes on pollution levels in the Balkan Peninsula
Computers & Mathematics with Applications
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Air pollution, especially the reduction of the air pollution to some acceptable levels, is a highly relevant environmental problem, which is becoming more and more important. This problem can successfully be studied only when high-resolution comprehensive mathematical models are developed and used on a routine basis. However, such models are very time-cousuming, even when modern high-speed computers are available. Indeed, if an air pollution model is to be applied on a large space domain by using fine grids, then its discretization will always lead to huge computational problems. Assume, for example, that the space domain is discretized by using a (480×480) grid and that the number of chemical species studied by the model is 35. Then ODE systems containing 8064000 equations have to be treated at every time-step (the number of time-steps being typically several thousand). If a three-dimensional version of the air pollution model is to be used, then the above quantity must be multiplied by the number of layers. Moreover, hundreds and even thousands of simulation runs have to be carried out in most of the studies related to policy making. Therefore, it is extremely difficult to treat such large computational problems. This is true even when the fastest computers that are available at present are used. The computing time needed to run such a model causes, of course, great difficulties. However, there is another difficulty which is at least as important as the problem with the computing time. The models need a great amount of input data (meteorological, chemical and emission data). Furthermore, the model produces huge files of output data, which have to be stored for future uses (for visualization and animation of the results). Finally, huge sets of measurement data (normally taken at many stations located in different countries) have to be used in the efforts to validate the model results. The necessity to handle efficiently huge data sets, containing input data, output data and measurement data, will be discussed in this paper.