Wolfgang Pauli Institute (WPI) Vienna

Home WPI in a nutshell Practical Information Events People WPI Projects
Login Thematic Programs Pauli Fellows Talks Research Groups

Working group "Efficient numerical methods for quantum systems"

Location: WPI, OMP 1, Seminar Room 08.135 Tue, 7. Mar (Opening: 9:00) - Fri, 10. Mar 17
Organisation(s)
WPI
Organiser(s)
Mechthild Thalhammer (U. Innsbruck)
Norbert J Mauser (WPI c/o U.Wien & CNRS)

Talks in the framework of this event


Casas Fernando (U. Jaume I Castellón) WPI, OMP 1, Seminar Room 08.135 Tue, 7. Mar 17, 16:15
Time dependent perturbation theory in matrix mechanics and time averaging
Click here for further information
  • Thematic program: Classical and Quantum Transport (2016/2017)
  • Event: Working group "Efficient numerical methods for quantum systems" (2017)

Blanes Sergio (U. Politècnica de València) WPI, OMP 1, Seminar Room 08.135 Tue, 7. Mar 17, 17:15
Time average on the numerical integration of non-autonomous differential equations
Click here for further information
  • Thematic program: Classical and Quantum Transport (2016/2017)
  • Event: Working group "Efficient numerical methods for quantum systems" (2017)

Zhang Yong (WPI c/o Courant & NJIT) WPI, OMP 1, Seminar Room 08.135 Wed, 8. Mar 17, 13:45
Analysis-based fast algorithms for convolution-type nonlocal potential in Nonlinear Schrödinger equation
Convolution-type potential are common and important in many science and engineering fields. Efficient and accurate evaluation of such nonlocal potentials are essential in practical simulations.In this talk, I will focus on those arising from quantum physics/chemistry and lightning-shield protection, including Coulomb, dipolar and Yukawa potentials that are generated by isotropic and anisotropic smooth and fast-decaying density. The convolution kernel is usually singular or discontinuous at the origin and/or at the far field, and density might be anisotropic, which together present great challenges for numerics in both accuracy and efficiency. The state-of-art fast algorithms include Wavelet based Method(WavM), kernel truncation method(KTM), NonUniform-FFT based method(NUFFT) and Gaussian-Sumbased method(GSM). Gaussian-sum/exponential-sum approximation and kernel truncation technique, combined with finite Fourier series and Taylor expansion, finally lead to a O(NlogN) fast algorithm achieving spectral accuracy. Applications to NLSE are reviewed.
  • Thematic program: Classical and Quantum Transport (2016/2017)
  • Event: Working group "Efficient numerical methods for quantum systems" (2017)

Impressum webmaster [Printable version]