Numerical computation and mathematical software form the backbone of modern scientific inquiry, facilitating the approximation of real numbers, the solution of complex mathematical models, and the ...

Spectral methods are very efficient numerical algorithms for solving partial differential equations in relatively simple geometries. The numerical errors introduced by spectral algorithms typically ...

TACC is helping students master leading technologies such as AI through a series of academic courses aimed at thriving in a changing computational landscape. TACC's Joe Stubbs lectures on intelligent ...

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The basis of natural sciences is the modelling of phenomena and solving the resulting models. The Master’s Programme in Theoretical and Computational Methods will give you a strong basis in the ...

In the early years of space exploration, scientists and engineers dreamed of sending vehicles to Mars that could land on the planet’s surface and explore its terrain. However, one of their biggest ...

This is a preview. Log in through your library . Abstract We analyze the convergence of multigrid methods applied to finite element equations of second order with singularities caused by reentrant ...

We present efficient partial differential equation (PDE) methods for continuous-time mean-variance portfolio allocation problems when the underlying risky asset follows a stochastic volatility process ...

The financial industry increasingly relies on large volumes of numerical data as financial products become more complex. As a result, analysts and financial engineers have turned to computational ...