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During the last years, scientific computing has become an important research branch located between applied mathematics and applied sciences and engineering. Highly efficient numerical methods are based on adaptive methods, higher order discretizations, fast linear and non-linear iterative solvers, multi-level algorithms, etc. Such methods are integrated in the adaptive finite element software ALBERTA. It is a toolbox for the fast and flexible implementation of efficient software for real life applications, based on modern algorithms. ALBERTA also serves as an environment for improving existent, or developing new numerical methods in an interplay with mathematical analysis and it allows the direct integration of such new or improved methods in existing simulation software.

Computer algorithms. --- Computer software --- Finite element method --- Science --- Development. --- Computer programs. --- Data processing. --- Computer algorithms --- Data processing --- Computer programs --- Development --- Computer science. --- Computer software. --- Software engineering. --- Computational Science and Engineering. --- Mathematical Software. --- Mathematics of Computing. --- Software Engineering/Programming and Operating Systems. --- Computer software engineering --- Engineering --- Software, Computer --- Computer systems --- Informatics --- 519.63 --- 681.3 *G18 --- 681.3*G4 --- 681.3*G4 Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Algorithms --- Development of computer software --- Software development --- Electronic data processing --- Computer mathematics. --- Computer science—Mathematics. --- Computer mathematics --- Mathematics --- Science - Data processing --- Finite element method - Computer programs --- Computer software - Development --- Acqui 2006