- Discrete-to-continuum limit for nonlinear reaction-diffusion systems via EDP convergence for gradient systems
2025/04/09 by Heinze, Georg, Mielke, Alexander, Stephan, Artur · 2 citations
#35A15 #35A35 #35K57 #47J35 #65M08 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)
- A Cahn--Hilliard--Willmore phase field model for non-oriented interfaces
2024/12/20 by Bretin, Elie, Chambolle, Antonin, Masnou, Simon · 1 citation
#35A15 #35A35 #53E10 #53E40 #65M32 #74N20 #FOS: Mathematics #Optimization and Control (math.OC)
- A posteriori error estimates for the wave equation with mesh change in the leapfrog method
2024/11/25 by Marcus J. Grote, Grote, Marcus J., Omar Lakkis +3 · 1 citation
Engineering · Mathematics · #35A35 #35L05 #65J10 #65M22 #65M60 #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #G.1.8 #G.4 #Numerical Analysis (math.NA) #Numerical methods in inverse problems
- Convergence rates for Poisson learning to a Poisson equation with measure data
2024/07/09 by Bungert, Leon, Calder, Jeff, Mihailescu, Max +2 · 2 citations
#05C80 #35A35 #35J05 #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Probability (math.PR)
- Non-diffusive neural network method for hyperbolic conservation laws
2024/05/23 by Lorin, Emmanuel, Novruzi, Arian · 1 citation
#35A35 #35D30 #35L02 #35L65 #65M55 #FOS: Mathematics #Numerical Analysis (math.NA)
- Continuity of the spatial gradient of weak solutions to very singular parabolic equations involving the one-Laplacian
2023/06/12 by Tsubouchi, Shuntaro · 1 citation
#35A35 #35B65 #35K92 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Algebraic calming for the 2D Kuramoto-Sivashinsky equations
2023/04/20 by Enlow, Matthew, Larios, Adam, Wu, Jiahong · 2 citations
#35A35 #35B65 #35K25 #35K58 #65M70 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
- Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators
2022/09/22 by Debrouwere, Andreas, Kalmes, Thomas · 1 citation
#35A35 #35E20 #46A63 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
- Neural network approximation of coarse-scale surrogates in numerical homogenization
2022/09/06 by Kröpfl, Fabian, Maier, Roland, Peterseim, Daniel · 1 citation
#35A35 #35J15 #65N30 #68T07 #FOS: Mathematics #Numerical Analysis (math.NA)
- Compositional Sparsity, Approximation Classes, and Parametric Transport Equations
2022/07/13 by Dahmen, Wolfgang · 4 citations
#35A35 #35B30 #35L04 #41A25 #41A46 #41A63 #FOS: Mathematics #Numerical Analysis (math.NA)
- Upper and lower estimates for rate of convergence in the Chernoff product formula for semigroups of operators
2021/04/02 by Galkin, Oleg E., Remizov, Ivan D. · 2 citations
#35A35 #41A25 #47D03 #47D06 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
- Many-particle limit for a system of interaction equations driven by\n Newtonian potentials
2020/08/25 by Marco Di Francesco, Di Francesco, Marco, Antonio Esposito +3 · 1 citation
Materials Science · Mathematics · Medicine · #35A35 #35F55. Secondary: 82C22 #35Q70 #35R09 #Analysis of PDEs (math.AP) #Blood properties and coagulation #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Material Dynamics and Properties #Primary: 35A24
- Efficient Approximation of Solutions of Parametric Linear Transport\n Equations by ReLU DNNs
2020/01/30 by Fabian Laakmann, Laakmann, Fabian, Philipp Petersen +1 · 1 citation
Engineering · Physics and Astronomy · #35A35 #35Q49 #41A25 #41A46 #65N30 #68T05 #Analysis of PDEs (math.AP) #Energy Load and Power Forecasting #FOS: Mathematics #Functional Analysis (math.FA) #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
- A Theoretical Analysis of Deep Neural Networks and Parametric PDEs
2019/03/31 by Kutyniok, Gitta, Petersen, Philipp, Raslan, Mones +1 · 6 citations
#35A35 #35J99 #41A25 #41A46 #65N30 #68T05 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA)
- Approximations to the solution of Cauchy problem for a linear evolution\n equation via the space shift operator (second-order equation example)
2016/05/12 by Ivan D. Remizov, Remizov, Ivan D. · 1 citation
Mathematics · #35A35 #35C99 #35K15 #35K30 #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Physical sciences #Mathematical Physics (math-ph) #advanced mathematical theories
- A note on Aubin-Lions-Dubinskii lemmas
2013/05/27 by Chen, Xiuqing, Jüngel, Ansgar, Liu, Jian-Guo · 3 citations
#35A35 #46B50 #FOS: Mathematics #Functional Analysis (math.FA)
- Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion
2009/08/19 by Artstein, Zvi, Gear, C. William, Kevrekidis, Ioannis G. +2 · 1 citation
#34C29 #34E13 #34E15 #35A35 #65L05 #65N22. #Dynamical Systems (math.DS) #FOS: Mathematics #Numerical Analysis (math.NA)
- A Study of the Navier-Stokes Equations with the Kinematic and Navier Boundary Conditions
2008/12/31 by Chen, Gui-Qiang, Qian, Zhongmin · 1 citation
#35A35 #35B35 #35P05 #35Q30 #36M60 #58C35 #76D03 #76D05 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Vanishing Viscosity Method for Transonic Flow
2006/10/07 by Chen, Gui-Qiang, Slemrod, Marshall, Wang, Dehua · 1 citation
#35A35 #35D05 #35M10 #76G25 #76H05 #76L05 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)