We introduce an FFT-based solver for the combinatorial continuous maximum flow discretization applied to computing minimum cut through heterogeneous microstructures. Recently, computational methods were introduced effective crack energy of periodic and random media. These based on cut-maximum duality G. Strang, made use discretizations trigonometric polynomials finite elements. For problems gra...

Recently, it was shown that it is possible to sample classes of signals with finite rate of innovation. These sampling schemes, however, use kernels with infinite support and this leads to complex and instable reconstruction algorithms. In this paper, we show that many signals with finite rate of innovation can be sampled and perfectly reconstructed using kernels of compact support and a local ...

In models of complicated physical-chemical processes operator splitting is very often applied in order to achieve sufficient accuracy as well as efficiency of the numerical solution. The recently rediscovered weighted splitting schemes have the great advantage of being parallelizable on operator level, which allows us to reduce the computational time if parallel computers are used. In this pape...

In this work we propose an efficient finite volume approximation of twofluid flows. Our scheme is based on three ingredients. We first construct a conservative scheme that removes the pressure oscillations phenomenon at the interface. The construction relies on a random sampling at the interface [6, 5]. Secondly, we replace the exact Riemann solver by a faster relaxation Riemann solver with goo...

files. Chem. Eng. Prog. 1981, 77,4247. Skogestad, S.; Morari, M. Understanding the Dynamic Behavior of Distillation Columns. Znd. Eng. Chem. Res. 1988a, 27,1848-1862. Skogestad, S.; Morari, M. LV-Control of a High-Purity Distillation Column. Chem. Eng. Sci. 198813, 43 (I), 33-48. Strang, C. Linear Algebra and ita Applications; Harcourt Brace Jovanovich: New York, 1980. Weber, R.; Brosilow, C. B...

Mesoscopic models in the reaction-diffusion framework have gained recognition as a viable approach to describing chemical processes in cell biology. The resulting computational problem is a continuous-time Markov chain on a discrete and typically very large state space. Due to the many temporal and spatial scales involved many different types of computationally more effective multiscale models ...

We present a general Fourier-based method that provides an accurate prediction of the approximation error as a function of the sampling step T . Our formalism applies to an extended class of convolution-based signal approximation techniques, which includes interpolation, generalized sampling with prefiltering, and the projectors encountered in wavelet theory. We claim that we can predict the L-...

Interest in domestic violence work has been growing for many years in the restorative justice movement, particularly on an academic level. Resources and discussions that connected restorative justice and domestic violence were very few five years ago, but that is changing. Publications such as the collection Restorative Justice and Family Violence (ed. by Strang and Braithwaite), the multi-year...

We give an error analysis of Strang-type splitting integrators for nonlinear Schrödinger equations. For Schrödinger-Poisson equations with an H4-regular solution, a first-order error bound in the H1 norm is shown and used to derive a second-order error bound in the L2 norm. For the cubic Schrödinger equation with an H4-regular solution, first-order convergence in the H2 norm is used to obtain s...