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1. Convergent Sixth-order Compact Finite Difference Method for Variable-Coefficient Elliptic PDEs in Curved Domains
   2025/01/17 by Han, Bin, J.S. SIM, Sim, Jiwoon · 3 citations
   Engineering · Mathematics · #35J25 #65N06 #65N12 #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
2. High order finite-difference ghost-point methods for elliptic problems in domains with curved boundaries
   2024/05/22 by Armando Coco, Coco, Armando, Giovanni Russo +1 · 2 citations
   Engineering · Mathematics · #65N06 #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #G.1.8 #Numerical Analysis (math.NA) #Numerical methods in inverse problems
3. A multilayer shallow water model for polydisperse reactive sedimentation
   2024/02/26 by Julio Careaga, Careaga, Julio, Víctor Osores +1 · 1 citation
   Earth and Planetary Sciences · Engineering · #65N06 #76T20 #Enhanced Oil Recovery Techniques #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geological formations and processes #Hydraulic Fracturing and Reservoir Analysis #Numerical Analysis (math.NA)
4. Connections Between Finite Difference and Finite Element Approximations for a Convection-Diffusion Problem
   2024/02/05 by Bacuta, Constantin, Bacuta, Cristina · 1 citation
   #35K57 #35Q35 #65F #65H10 #65N06 #65N12 #65N22 #65N30 #74S05 #76R10 #76R50 #FOS: Mathematics #Numerical Analysis (math.NA)
5. Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics
   2023/11/15 by Cornalba, Federico, Fischer, Julian · 1 citation
   #35R60 #60H15 #65C05 #65N06 #82C22 #82M36 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
6. Node Subsampling for Multilevel Meshfree Elliptic PDE Solvers
   2023/03/16 by Lawrence, Andrew P., Nielsen, Morten E., Fornberg, Bengt · 1 citation
   #65N06 #65N22 (Primary) 65F10 #65N50 #65N55 (Secondary) #FOS: Mathematics #Numerical Analysis (math.NA)
7. Optimal performance of a tontine overlay subject to withdrawal constraints
   2022/11/18 by Peter Forsyth, Forsyth, Peter A., Kenneth R. Vetzal +3 · 1 citation
   Business, Management and Accounting · Health Professions · Social Sciences · #35Q93 #65N06 #65N12 #91G #Computational Finance (q-fin.CP) #FOS: Economics and business #Financial Literacy, Pension, Retirement Analysis #Global Health Care Issues #Insurance, Mortality, Demography, Risk Management
8. Parameter-robust Braess-Sarazin-type smoothers for linear elasticity problems
   2022/04/22 by He, Yunhui, Li, Yu · 1 citation
   #65F10 #65N06 #65N55 #FOS: Mathematics #Numerical Analysis (math.NA)
9. A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: Pointwise error estimates under Hölder regularity
   2021/09/20 by Rubing Han, Han, Rubing, Shuonan Wu +1 · 3 citations
   Computer Science · Mathematics · #35R11 #65N06 #65N12 #65N15 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Numerical methods in inverse problems
10. Modelling and simulation of a wave energy converter
    2021/02/03 by Bocchi, Edoardo, He, Jiao, Vergara-Hermosilla, Gaston · 1 citation
    #35L02 #35Q35 #65M06 #65N06 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
11. Non-overlapping block smoothers for the Stokes equations
    2020/08/20 by Claus, Lisa, Bolten, Matthias · 1 citation
    #65N06 #65N22 #FOS: Mathematics #Numerical Analysis (math.NA)
12. Approximation of an optimal control problem for the time-fractional Fokker-Planck equation
    2020/06/05 by Camilli, Fabio, Duisembay, Serikbolsyn, Tang, Qing · 1 citation
    #35R11 #65N06 #91A13 #FOS: Mathematics #Numerical Analysis (math.NA)
13. Simulation and Optimization of Mean First Passage Time Problems in 2-D using Numerical Embedded Methods and Perturbation Theory
    2019/11/16 by Iyaniwura, Sarafa, Wong, Tony, Ward, Michael J. +1 · 1 citation
    #35C20 #35J05 #35K05 #65M06 #65N06 #FOS: Mathematics #Numerical Analysis (math.NA)
14. Computing ground states of Bose-Einstein Condensates with higher order interaction via a regularized density function formulation
    2019/08/24 by Bao, Weizhu, Ruan, Xinran · 1 citation
    #35Q55 #65N06 #65N25 #90C30 #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Quantum Gases (cond-mat.quant-gas)
15. A Narrow-stencil finite difference method for approximating viscosity solutions of fully nonlinear elliptic partial differential equations with applications to Hamilton-Jacobi-Bellman equations
    2019/07/24 by Feng, Xiaobing, Lewis, Thomas · 1 citation
    #65N06 #65N12 #FOS: Mathematics #Numerical Analysis (math.NA)
16. On the monotonicity and discrete maximum principle of the finite difference implementation of C⁰-Q² finite element method
    2019/05/15 by Li, Hao, Zhang, Xiangxiong · 1 citation
    #65N06 #65N12 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
17. Structure preserving schemes for Fokker-Planck equations with nonconstant diffusion matrices
    2019/05/08 by Nadia Loy, Mattia Zanella, Loy, N. +1 · 1 citation
    Environmental Science · Physics and Astronomy · #35Q70 #35Q84 #65N06 #Adaptation and Self-Organizing Systems (nlin.AO) #Climate variability and models #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Opinion Dynamics and Social Influence #Theoretical and Computational Physics
18. Convergence Analysis of A Second-order Semi-implicit Projection Method for Landau-Lifshitz Equation
    2019/02/26 by Chen, Jingrun, Wang, Cheng, Xie, Changjian · 5 citations
    #35K61 #65N06 #65N12 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
19. Analysis and algorithms for ℓ_p-based semi-supervised learning on graphs
    2019/01/15 by Mauricio A. Flores, Flores, Mauricio, Jeff Calder +3 · 2 citations
    Computer Science · Engineering · Mathematics · #35D40 #35R02 #65N06 #68T05 #68W01 #Analysis of PDEs (math.AP) #Computer Vision and Pattern Recognition (cs.CV) #Domain Adaptation and Few-Shot Learning #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques #Statistical Methods and Inference
20. Architecture and performance of Devito, a system for automated stencil\n computation
    2018/07/09 by Fabio Luporini, Luporini, Fabio, Michael Lange +17 · 3 citations
    Computer Science · Engineering · #65N06 #68N20 #Computational Physics and Python Applications #FOS: Computer and information sciences #Mathematical Software (cs.MS) #Parallel Computing and Optimization Techniques #Reservoir Engineering and Simulation Methods
21. The game theoretic p-Laplacian and semi-supervised learning with few labels
    2017/11/28 by Calder, Jeff · 3 citations
    #35D40 #35J60 #65N06 #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Probability (math.PR)
22. Consistency of Lipschitz learning with infinite unlabeled data and\n finite labeled data
    2017/10/27 by Jeff Calder, Calder, Jeff · 3 citations
    Computer Science · Mathematics · #35D40 #35J60 #65N06 #Analysis of PDEs (math.AP) #Bayesian Methods and Mixture Models #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Statistical Methods and Inference
23. A Hybrid Solver of Size Modified Poisson-Boltzmann Equation by Domain Decomposition, Finite Element, and Finite Difference
    2016/10/19 by Ying, Jinyong, Xie, Dexuan · 1 citation
    #65N06 #65N30 #65N55 #92-08 #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)
24. A Numerical Approach for a General Class of the Spatial Segregation of Reaction-Diffusion Systems Arising in Population Dynamics
    2016/03/10 by Arakelyan, Avetik, Barkhudaryan, Rafayel · 1 citation
    #35R35 #65N06 #65N22 #92D25 #FOS: Mathematics #Numerical Analysis (math.NA)
25. Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids
    2016/02/15 by Feng, Xiaobing, Jensen, Max · 1 citation
    #35J60 #65N06 #65N12 #65N35 #FOS: Mathematics #Numerical Analysis (math.NA)
26. Optical flow with fractional order regularization: variational model and solution method
    2015/12/04 by Bardeji, Somayeh Gh., Figueiredo, Isabel N., Sousa, Ercília · 1 citation
    #65D18 #65K10 #65N06 #FOS: Mathematics #Numerical Analysis (math.NA)
27. Near-optimal perfectly matched layers for indefinite Helmholtz problems
    2015/07/22 by Druskin, Vladimir, Güttel, Stefan, Knizhnerman, Leonid · 1 citation
    #30E10 #35J05 #65D25 #65N06 #65N55 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)
28. The Closest Point Method and multigrid solvers for elliptic equations on surfaces
    2013/07/16 by Yujia Chen, Chen, Yujia, Colin B. Macdonald +1 · 3 citations
    Engineering · Physics and Astronomy · #58J05 #65N06 #65N55 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Scattering and Analysis #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
29. A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
    2011/09/11 by Sousa, Ercília, Li, Can · 2 citations
    #26A33 #45K05 #65N06 #65N12 #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)