Dektor, Alec
- Rank-adaptive tensor methods for high-dimensional nonlinear PDEs
2020/12/10 by Dektor, Alec, Rodgers, Abram, Venturi, Daniele · 9 citations
#Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)
- Adaptive integration of nonlinear evolution equations on tensor manifolds
2020/08/01 by Abram Rodgers, Alec Dektor, Rodgers, Abram +3 · 5 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Meteorological Phenomena and Simulations #Numerical Analysis (math.NA) #Quantum, superfluid, helium dynamics #Tensor decomposition and applications
- Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation
2024/11/24 by Alec Dektor, Dektor, Alec, Lukas Einkemmer +1 · 9 citations
Computer Science · Engineering · Mathematics · #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Image and Signal Denoising Methods #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques #Statistical and numerical algorithms
- Collocation methods for nonlinear differential equations on low-rank manifolds
2024/02/28 by Alec Dektor, Dektor, Alec · 6 citations
Engineering · #Advanced Numerical Analysis Techniques
- Coordinate-adaptive integration of PDEs on tensor manifolds
2023/08/04 by Dektor, Alec, Venturi, Daniele · 3 citations
#Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)
- Spectral methods for nonlinear functionals and functional differential equations
2020/03/25 by Venturi, Daniele, Dektor, Alec · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)