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13 papers · 2 filters
On efficient weighted integration via a change of variables
Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota +1
In this paper, we study the approximation of -dimensional -weighted integrals over unbounded domains or using a special change of variables, s…
On the singular value decomposition of n-fold integration operators
Ronny Ramlau, Christoph Koutschan, Bernd Hofmann
In theory and practice of inverse problems, linear operator equations with compact linear forward operators having a non-closed range and mapping betwee…
On a boundary integral solution of a lateral planar Cauchy problem in elastodynamics
Roman Chapko, B. Tomas Johansson, Leonidas Mindrinos
A boundary integral based method for the stable reconstruction of missing boundary data is presented for the governing hyperbolic equation of elastodynamics in annular planar domai…
Isogeometric Simulation and Shape Optimization with Applications to Electrical Machines
Peter Gangl, Ulrich Langer, Angelos Mantzaflaris +1
Future e-mobility calls for efficient electrical machines. For different areas of operation, these machines have to satisfy certain desired properties that often depend on their de…
Sum-factorization techniques in Isogeometric Analysis
A. Bressan, S. Takacs
The fast assembling of stiffness and mass matrices is a key issue in isogeometric analysis, particularly if the spline degree is increased. We present two algorithms based on the i…
A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations
Philipp Grohs, Fabian Hornung, Arnulf Jentzen +1
Artificial neural networks (ANNs) have very successfully been used in numerical simulations for a series of computational problems ranging from image classification/image recogniti…