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SIAM Journal on Numerical ...
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OPTIMAL ANALYSIS OF NON-UNIFORM GALERKIN-MIXED FINITE ELEMENT APPROXIMATIONS TO THE GINZBURG-LANDAU EQUATIONS IN SUPERCONDUCTIVITY
Journal article
SIAM Journal on Numerical Analysis,2023, volume: 61, issue: 2, pages: 929-951
Authors:
Gao, Huadong
;
Sun, Weiwei
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Submit date:2023/06/30
Ginzburg-Landau equation
lowest-order approximation
mixed finite element
optimal error estimate
superconductivity
Optimal error analysis of Euler and Crank–Nicolson projection finite difference schemes for Landau–Lifshitz equation
Journal article
SIAM Journal on Numerical Analysis,2021, volume: 59, issue: 3, pages: 1639-1662
Authors:
An, Rong
;
Gao, Huadong
;
Sun, Weiwei
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View/Download:5/0
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Submit date:2021/09/17
Landau-Lifshitz equation
projection scheme
finite difference methods
optimal error estimate
micromagnetics
Analysis of Lowest-Order Characteristics-Mixed FEMs for Incompressible Miscible Flow in Porous Media
Journal article
SIAM Journal on Numerical Analysis,2021, volume: 59, issue: 4, pages: 1875-1895
Authors:
Sun, Weiwei
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View/Download:7/0
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Submit date:2021/09/17
modified method of characteristics
mixed finite element method
incompressible miscible flow
Deep neural networks algorithms for stochastic control problems on finite horizon: Convergence analysis
Journal article
SIAM Journal on Numerical Analysis,2021, volume: 59, issue: 1, pages: 525-557
Authors:
Huré, Côme
;
Pham, Huyén
;
Bachouch, Achref
;
Langrené, Nicolas
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View/Download:5/0
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Submit date:2022/08/29
Convergence analysis
Deep learning
Dynamic programming
Performance iteration
Regress-now
Statistical risk
Fast fourier-like mapped chebyshev spectral-galerkin methods for pdes with integral fractional laplacian in unbounded domains
Journal article
SIAM Journal on Numerical Analysis,2020, volume: 58, issue: 5, pages: 2435-2464
Authors:
Sheng, Changtao
;
Shen, Jie
;
Tang, Tao
;
Wang, Lilian
;
Yuan, Huifang
Adobe PDF(1385Kb)
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View/Download:46/8
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Submit date:2021/04/23
Biorthogonal basis functions
Dunford-Taylor formula
Integral fractional Laplacian
Mapped Chebyshev functions
Nonlocal/singular operators
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation
Journal article
SIAM Journal on Numerical Analysis,2020, volume: 58, issue: 4, pages: 2294–2314
Authors:
Liao, Honglin
;
Tang, Tao
;
Zhou, Tao
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View/Download:15/0
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Submit date:2021/08/05
Allen-Cahn equation
nonuniform BDF2 scheme
energy stability
discrete maximum principle
convergence analysis
Analysis of galerkin fems for mixed formulation of time-dependent ginzburg–landau equations under temporal gauge
Journal article
SIAM Journal on Numerical Analysis,2018, volume: 56, issue: 3, pages: 1291-1312
Authors:
Wu, Chengda
;
Sun, Weiwei
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View/Download:6/0
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Submit date:2021/05/12
Galerkin FEMs
Ginzburg–Landau equations
Nonclassical Ritz projection
Optimal error estimate
Temporal gauge
Maximal regularity of fully discrete finite element solutions of parabolic equations
Journal article
SIAM Journal on Numerical Analysis,2017, volume: 55, issue: 2, pages: 521-542
Authors:
Li, Buyang
;
Sun, Weiwei
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View/Download:4/0
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Submit date:2021/05/12
nonlinear parabolic equations
BDF methods
discrete maximal parabolic regularity
maximum-norm error analysis
energy technique
time-dependent norms
An efficient gradient projection method for stochastic optimal control problems
Journal article
SIAM Journal on Numerical Analysis,2017, volume: 55, issue: 6, pages: 2982-3005
Authors:
Gong, Bo
;
Liu, Wenbin
;
Tang, Tao
;
Zhao, Weidong
;
Zhou, Tao
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View/Download:25/0
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Submit date:2021/05/10
Backward stochastic differential equations
Conditional expectations
Gradient projection methods
Stochastic optimal control
Maximal regularity of fully discrete finite element solutions of parabolic equations
Journal article
SIAM Journal on Numerical Analysis,2017, volume: 55, issue: 2, pages: 521-542
Authors:
Li, Buyang
;
Sun, Weiwei
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View/Download:4/0
  |  
Submit date:2021/06/02
BDF methods
Discrete maximal parabolic regularity
Energy technique
Maximum-norm error analysis
Nonlinear parabolic equations
Time-dependent norms