16 citations · 38 across the 8 of their papers we have counts for
9 papers
Transform before linearizing: robust Newton methods for singular -Laplace and -Stokes equations
Gonzalo G. De Diego, Fortino Garcia, Georg Stadler +1
For , the -Laplace equation and its -Stokes generalization are difficult to solve numerically. Newton's method converges rapidly only close to the solution, with itera…
Deterministic and Bayesian Characterization of Quantum Computing Devices
Zhichao Peng, Daniel Appelö, N. Anders Petersson +3
Motivated by the noisy and fluctuating behavior of current quantum computing devices, this paper presents a data-driven characterization approach for estimating transition frequenc…
Mathematical approaches for characterization, control, calibration and validation of a quantum computing device
Zhichao Peng, Daniel Appelo, N. Anders Petersson +2
Quantum computing has received significant amounts of interest from many different research communities over the last few years. Although there are many introductory texts that foc…
Extensions and Analysis of an Iterative Solution of the Helmholtz Equation via the Wave Equation
Fortino Garcia, Daniel Appelö, Olof Runborg
In this paper we extend analysis of the WaveHoltz iteration -- a time-domain iterative method for the solution of the Helmholtz equation. We expand the previous analysis of energy…
El-WaveHoltz: A Time-Domain Iterative Solver for Time-Harmonic Elastic Waves
Daniel Appelö, Fortino Garcia, Allen Alvarez Loya +1
We consider the application of the WaveHoltz iteration to time-harmonic elastic wave equations with energy conserving boundary conditions. The original WaveHoltz iteration for acou…
Optimal Control of Closed Quantum Systems via B-Splines with Carrier Waves
N. Anders Petersson, Fortino Garcia
We consider the optimal control problem of determining electromagnetic pulses for implementing logical gates in a closed quantum system, where the Hamiltonian models the dynamics o…
Quantum Physics without the Physics
N. Anders Petersson, Fortino Garcia, Daniel E. A. Appelo +3
This report explains the basic theory and common terminology of quantum physics without assuming any knowledge of physics. It was written by a group of applied mathematicians while…
Discrete Adjoints for Accurate Numerical Optimization with Application to Quantum Control
N. Anders Petersson, Fortino M. Garcia, Austin E. Copeland +2
This paper considers the optimal control problem for realizing logical gates in a closed quantum system. The quantum state is governed by Schrodinger's equation, which we formulate…
WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation
Daniel Appelo, Fortino Garcia, Olof Runborg
A new idea for iterative solution of the Helmholtz equation is presented. We show that the iteration which we denote WaveHoltz and which filters the solution to the wave equation w…