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In this book wedescribe the basic elements of present computational
technologies that use the algorithmic languages C/C++. The emphasis
is on GNU compilers and libraries, FOSS for the solution of
computational mathematics problems and visualization of the
obtained data. At the beginning, a brief introduction to C is given
with emphasis on its easy use in scientific and engineering
computations.We describe the basic elements of the language, such
as variables, data types, executable statements, functions, arrays,
pointers, dynamic memory and file management. After that, we
present some observations on the C++ programming language.We
discuss the issues of program compiling, linking, and debugging. A
quick guide to Eclipse is also presented in the book. The main
features for editing, compiling, debugging and application
assembling are considered.As examples, wesolve the standard
problems of computational mathematics: operations with vectors and
matrices, linear algebra problems, solution of nonlinear equations,
numerical differentiation and integration, interpolation, initial
value problems for ODEs and so on. Finally, basic features
ofcomputational technologies are illustrated with model problems.
All programs are implemented in C/C++ with using the GSL library.
Gnuplot is employed to visualize the results of computations.
This book discusses questions of numerical solutions of applied
problems on parallel computing systems. Nowadays, engineering and
scientific computations are carried out on parallel computing
systems, which provide parallel data processing on a few computing
nodes. In the development of up-to-date applied software, this
feature of computers must be taken into account for the maximum
efficient usage of their resources. In constructing computational
algorithms, we should separate relatively independent subproblems
in order to solve them on a single computing node.
The main classes of inverse problems for equations of mathematical
physics and their numerical solution methods are considered in this
book which is intended for graduate students and experts in applied
mathematics, computational mathematics, and mathematical modelling.
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