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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.

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An adaptive stepsize approach to solve numerically ODE with stiffness using complementarity ...

Let us considered the following system of ODEs \begin{align*} \dfrac{dX}{dt} = f(X), \tag{1.1} \end{align*} where the unknown $X\in \mathcal{D} \subset \mathbb{R}^l$ and it is stiff. However, for …
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