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A framework for performing dynamic mesh adaptation with the discontinuous Galerkin method (DGM) is presented. Adaptations include modifications of the local mesh step size (h-adaptation) and the local degree of the approximating polynomials…

Computational Physics · Physics 2013-01-29 Sascha M. Schnepp , Thomas Weiland

We present a new implementation of the hybrid antisymmetrized Coupled Channels (haCC) method in the framework of the tRecX [A. Scrinzi, Comp. Phys. Comm., 270:108146, 2022.]. The method represents atomic and molecular multi-electron…

Computational Physics · Physics 2024-05-02 Hareesh Chundayil , Vinay P. Majety , Armin Scrinzi

We perform a short review of the history of quantum mechanics, with a focus on the historical problems with describing ionization theoretically in the context of quantum mechanics. The essentials of the theory of resonances are presented.…

Quantum Physics · Physics 2021-03-10 Patrik Pirkola

The real-space multiple-scattering (RSMS) approach is applied to model non-resonant inelastic scattering from deep core electron levels over a broad energy spectrum. This approach is applicable to aperiodic or periodic systems alike and…

Other Condensed Matter · Physics 2009-11-11 J. A. Soininen , A. L. Ankudinov , J. J. Rehr

The time-dependent restricted-active-space self-consistent-field (TD-RASSCF) method is formulated based on the TD variational principle. In analogy with the configuration-interaction singles (CIS), singles-and-doubles (CISD),…

Quantum Physics · Physics 2014-06-26 Haruhide Miyagi , Lars Bojer Madsen

The technique of complex scaling for time harmonic wave type equations relies on a complex coordinate stretching to generate exponentially decaying solutions. In this work, we use a Galerkin method with ansatz functions with infinite…

Numerical Analysis · Mathematics 2019-07-24 Lothar Nannen , Markus Wess

In gamma-ray astronomy and cosmic-ray physics, the continuous approximation of inverse Compton scattering (ICS) is widely adopted to model the evolution of electron energy. However, when the initial electron energy approaches $\sim100$ TeV,…

High Energy Astrophysical Phenomena · Physics 2026-04-21 Junji Xia , Xingjian Lv , Kun Fang , Siming Liu

Mitigating the impact of waves leaving a numerical domain has been a persistent challenge in numerical modeling. Reducing wave reflection at the domain boundary is crucial for accurate simulations. Absorbing layers, while common, often…

Numerical Analysis · Mathematics 2024-11-19 Yassine Tissaoui , James F. Kelly , Simone Marras

This work is concerned with a unique combination of high order local absorbing boundary conditions (ABC) with a general curvilinear Finite Element Method (FEM) and its implementation in Isogeometric Analysis (IGA) for time-harmonic acoustic…

Numerical Analysis · Mathematics 2019-03-27 Tahsin Khajah , Vianey Villamizar

Optimization of Reconfigurable Intelligent Surfaces (RIS) via a previously introduced method is effective, but time-consuming, because multiport impedance or scatter matrices are required for each transmitter and receiver position, which…

Optimization and Control · Mathematics 2025-01-31 Hans-Dieter Lang , Michel A. Nyffenegger , Heinz Mathis , Xingqi Zhang

We present end-to-end simulations of SCALES, the third generation thermal-infrared diffraction limited imager and low/med-resolution integral field spectrograph (IFS) being designed for Keck. The 2-5 micron sensitivity of SCALES enables…

Instrumentation and Methods for Astrophysics · Physics 2021-10-29 Zackery Briesemeister , Steph Sallum , Andrew Skemer , R. Deno Stelter , Philip Hinz , Timothy Brandt

This contribution investigates the connection between isogeometric analysis and integral equation methods for full-wave electromagnetic problems up to the low-frequency limit. The proposed spline-based integral equation method allows for an…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Maximilian Nolte , Riccardo Torchio , Sebastian Schöps , Jürgen Dölz , Felix Wolf , Albert E. Ruehli

The paper proposes a hybrid method for calculating scattering processes that combines the $J$-matrix method with exterior complex scaling as an absorbing boundary condition. It represents the wave function as a finite sum of oscillator…

Nuclear Theory · Physics 2010-12-28 Y. Bidasyuk , W. Vanroose , J. Broeckhove , F. Arickx , V. Vasilevsky

We present a wave-function based method to solve the time-dependent many-electron Schr\"odinger equation (TDSE) with special emphasis on strong-field ionization phenomena. The theory builds on the configuration-interaction (CI) approach…

Quantum Physics · Physics 2014-12-11 Sebastian Bauch , Lasse Kragh Sørensen , Lars Bojer Madsen

Density matrix embedding theory (DMET) is a fully quantum-mechanical embedding method which shows great promise as a method of defeating the inherent exponential cost scaling of multiconfigurational wave function-based calculations by…

Chemical Physics · Physics 2019-02-07 Matthew R. Hermes , Laura Gagliardi

The high-precision solution of the radial Dirac equation is fundamental to relativistic quantum chemistry, essential for reliable pseudopotential generation and all-electron electronic structure methods. However, standard basis-set…

Numerical Analysis · Mathematics 2026-04-14 Sheng Chen , Sihong Shao , Shuai Wu

Owing to its high brilliance, infrared and terahertz synchrotron radiation (IR/THz-SR) has emerged as a powerful tool for spectroscopy under extreme (i.e., technically more difficult) experimental conditions such as high pressure, high…

Strongly Correlated Electrons · Physics 2015-06-11 Shin-ichi Kimura , Hidekazu Okamura

We present an efficient implementation of the Bethe-Salpeter equation (BSE) method for obtaining core-level spectra including x-ray absorption (XAS), x-ray emission (XES), and both resonant and non-resonant inelastic x-ray scattering…

Computational Physics · Physics 2016-01-29 K. Gilmore , John Vinson , E. L. Shirley , D. Prendergast , C. D. Pemmaraju , J. J. Kas , F. D. Vila , J. J. Rehr

In this paper we develop a methodology for the mesoscale simulation of strong electrolytes. The methodology is an extension of the Fluctuating Immersed Boundary (FIB) approach that treats a solute as discrete Lagrangian particles that…