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Is there an ordinary differential equation in $\mathbb{R}^d$ induced by a gradient vector field with unbounded solutions, for which the difference equations obtained by using the forward Euler method ...

I am interested in open and current issues in numerical analysis, there are good references in this respect. Thanks for your response

when applying a Finite Difference scheme for an IVP, two factors come to mind when considering stability: One factor would be the condition number of the approximation operator. The other factor ...

I am doing a Von Neumann analysis on a staggered finite difference scheme (for Maxwell's Equations). The finite difference scheme is: $$ \mathbf{u}_v|^{n+2}_{i,j} - \mathbf{u}_v|^{n}_{i,j} = - A \frac{...

I would like to numerically compute the spectral abscissa of an unbounded linear operator $A$ on a Hilbert space. To give you an idea my operator has the form: $$Af(x,y) = a(y) \partial_x f(x,y) - b(x)...