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Sobolev Cubatures and Hybrid Surrogate Models for PDE Learning Problems: Addressing Numerical Stiffness and the Gibbs Phenomenon

Mitigating the Gibbs phenomenon in the numerical solution of partial differential equations (PDEs) with discontinuous solutions presents a significant challenge in scientific computing and numerical analysis. The spurious oscillations that arise near the discontinuities severely limit the efficiency of a wide range of standard methods.
openaire   +1 more source

Batch Bayesian auto-tuning for nonlinear Kalman estimators. [PDF]

Sci Rep
Freitas Iglesias C, Bolic M.
europepmc   +1 more source

Secure localization of land vehicles under GPS spoofing attack with decomposition Kalman filter. [PDF]

Sci Rep
Zhao M, Han Z, Wang E, Liu J.
europepmc   +1 more source

Adaptive control of DC-DC power converter: design and experimental investigation with constant power load. [PDF]

Sci Rep
Nizami TK, Gangula SD, Udumula RR, Chakravarty A, Mangaraj M, Ahmad F, Veerendra AS.   +6 more
europepmc   +1 more source

A New Efficient Explicit Deferred Correction Framework: Analysis and Applications to Hyperbolic PDEs and Adaptivity. [PDF]

Commun Appl Math Comput
Micalizzi L, Torlo D.
europepmc   +1 more source

A Robust Interacting Multi-Model Multi-Bernoulli Mixture Filter for Maneuvering Multitarget Tracking under Glint Noise. [PDF]

Sensors (Basel)
Yu B, Gu H, Su W.
europepmc   +1 more source

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An adaptive numerical cubature algorithm for simplices

ACM Transactions on Mathematical Software, 2003
A globally adaptive algorithm for numerical cubature of a vector of functions over a collection of n -dimensional simplices is described. The algorithm is based on a subdivision strategy that chooses for subdivision at each stage the subregion (of the input simplices) with the largest estimated error. This subregion
Alan Genz, Ronald Cools
exaly   +2 more sources

Extended homogeneous bivariate orthogonal polynomials: symbolic and numerical Gaussian cubature formula

Numerical Algorithms
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jilali Abouir, Brahim Benouahmane
exaly   +3 more sources