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Showing 2024 · math.NAShow all
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math.NA2024
Can Symmetric Positive Definite (SPD) coarse spaces perform well for indefinite Helmholtz problems?
Victorita Dolean, Mark Fry, Matthias Langer
Wave propagation problems governed by the Helmholtz equation remain among the most challenging in scientific computing, due to their indefinite nature. Domain decomposition methods…
math.NA2024★ 1 cited
Accelerating Dimensionality Reduction in Wave-Resistance Problems through Geometric Operators
Stamatios Stamatatelopoulos, Shahroz Khan, Panagiotis Kaklis
Reducing the dimensionality and uncertainty of design spaces is a key prerequisite for shape optimisation in computationally intensive fluid problems. However, running these analys…
math.NA2024★ 3 cited
How sharp are error bounds? --lower bounds on quadrature worst-case errors for analytic functions
Takashi Goda, Yoshihito Kazashi, Ken'ichiro Tanaka
Numerical integration over the real line for analytic functions is studied. Our main focus is on the sharpness of the error bounds. We first derive two general lower estimates for…