1 citations · 3 across the 4 of their papers we have counts for
10 papers
Numerical approximation of the Schrödinger equation with concentrated potential
Lehel Banjai, María López-Fernández
We present a family of algorithms for the numerical approximation of the Schrödinger equation with potential concentrated at a finite set of points. Our methods belong to the so-ca…
Variable Order, Directional H2-Matrices for Helmholtz Problems with Complex Frequency
Steffen Börm, Maria Lopez-Fernandez, Stefan Sauter
The sparse approximation of high-frequency Helmholtz-type integral operators has many important physical applications such as problems in wave propagation and wave scattering. The…
Efficient high order algorithms for fractional integrals and fractional differential equations
Lehel Banjai, María López-Fernández
We propose an efficient algorithm for the approximation of fractional integrals by using Runge--Kutta based convolution quadrature. The algorithm is based on a novel integral repre…
Fast and oblivious algorithms for dissipative and 2D wave equations
Lehel Banjai, María López-Fernández, Achim Schädle
The use of time-domain boundary integral equations has proved very effective and efficient for three dimensional acoustic and electromagnetic wave equations. In even dimensions and…
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
Angel Castro, Diego Cordoba, Charles Fefferman +2
The Muskat problem models the evolution of the interface given by two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach the linear stability of th…
Approximating travelling waves by equilibria of non local equations
Jose M. Arrieta, Maria Lopez-Fernandez, Enrique Zuazua
We consider an evolution equation of parabolic type in R having a travelling wave solution. We perform an appropriate change of variables which transforms the equation into a non l…