
Detailed proof of Nazarov's inequality
The purpose of this note is to provide a detailed proof of Nazarov's ine...
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On the randomized Euler schemes for ODEs under inexact information
We analyse errors of randomized explicit and implicit Euler schemes for ...
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Unified Compact Numerical Quadrature Formulas for Hadamard Finite Parts of Singular Integrals of Periodic Functions
We consider the numerical computation of finiterange singular integrals...
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Differentiable Implicit Layers
In this paper, we introduce an efficient backpropagation scheme for non...
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Phasebounded finite element method for twofluid incompressible flow systems
An understanding of the hydrodynamics of multiphase processes is essenti...
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Revisiting the Role of Euler Numerical Integration on Acceleration and Stability in Convex Optimization
Viewing optimization methods as numerical integrators for ordinary diffe...
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Speeding up the Euler scheme for killed diffusions
Let X be a linear diffusion taking values in (ℓ,r) and consider the stan...
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A note about Euler's inequality and automated reasoning with dynamic geometry
Using implicit loci in GeoGebra Euler's R≥ 2r inequality can be investigated in a novel way. Some unavoidable side effects of the implicit locus computation introduce unexpected algebraic curves. By using a mixture of symbolic and numerical methods a possible approach is sketched up to investigate the situation.
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