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Computational mathematics involves mathematical research in areas of science where computing plays a central and essential role, emphasizing algorithms, numerical methods, and symbolic computations. Mathematical models arise in a wide variety of fields, including weather forecasting, engineering, business and finance, science, and medicine. The application of computer methods to simulate such models has revolutionized these fields and is one of the most significant achievements of the computer age. Developing and analyzing such models so that the computer simulations can be carried out efficiently and accurately involves more than classical mathematics and elementary computer science.
Computational Mathematics brings together research and reviews in numerical analysis, control theory, and the interplay of modeling and computational mathematics. It contains contributions in computational mathematics from worldwide that are useful to the applied scientists or engineers. Because of the growing complexity of the models and the exploding power of computers, however, there is now a significant demand for specialists who thoroughly understand the theoretical issues in computational mathematics. These specialists must be able to design new algorithms which cope with the computational demands of the simulations, and to develop robust software to implement these algorithms. It will deploy effectively a wide range of mathematical and computational techniques to solve large problems in science, industry and commerce; to develop, enhance and maintain the relevant software tools; and to communicate results of complex modeling and simulation to readers.
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