Engineering Computation

PDEs & Finite Elements »

Mathematica Version 10 extends its numerical differential equation-solving capabilities to include the finite element method. Given a PDE, a domain, and boundary conditions, the finite element solution process - including grid and element generation - is fully automated. Stationary and transient solutions to a single PDE or a system of partial differential equations are supported for one, two, and three dimensions.

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PDEs & Finite Elements in Mathematica 10

Nonlinear Control Systems »

Mathematica Version 10 extends its control systems capabilities to fully embrace nonlinear systems. Affine and general nonlinear systems can be exactly represented. Not only does this allow for simulation of closed-loop systems at full fidelity, but it enables a new generation of advanced design and analysis techniques. Nonlinear control design using only linear techniques and no approximation can be accomplished using exact linearization. In addition, fully nonlinear designs enable asymptotic output tracking or disturbance rejection of modeled disturbances.

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Nonlinear Control Systems in Mathematica 10

Enhanced Signal Processing »

Mathematica Version 10 expands signal processing capabilities with new functionality and deeper integration. Signal processing functions now automatically work with time series and sound signals, making it easy to analyze real-life data widely available from file imports, connected devices, external services, etc. Major new additions include multiresolution peak analysis and advanced array resampling.

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        Signal Processing in Mathematica 10