Allen-Cahn equation - Globe Thesis

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1.	Study On Solutions Of Two Types Of Nonlinear Elliptic Partial Differential Equations
2.	Local Discontinuous Galerkin Finite Element Methods For Allen-Cahn Equation
3.	Meshfree Collocation Methods For Three Kinds Of Nonlinear Reaction Diffusion Equations
4.	Effective Numerical Methods For Two Types Of High Order Partial Differential Equations
5.	Nondegeneracy Of Symmetry Solution To The Allen-Cahn Equation
6.	Generalized Polynomial Chaos For Stochastic Parabolic Equation
7.	Discontinuous Galerkin Based Isogeometric Analysis And Applications
8.	Traveling Fronts Of Pyramidal Shapes And General Pyramidal Shapes In The Bisable Allen-Cahn Equation
9.	Local Discontinuous Galerkin Methods And Fast Solvers For Phase Field Models
10.	Study Of Theory And Application For High-order Preserving Energy Dissipation Method
11.	Some Numerical Methods And Applications Of The Allen-Cahn Equation Of Phase Field Model
12.	Spectral Methods For The Allen-Cahn Equation And Cahn-Hilliard Equation
13.	A Posteriori Error Estimates And An Adaptive Finite Element Method For The Allen-Cahn Equation
14.	On A Class Of Toda Type Equations
15.	The Development,analysis And Algorithm For The Thermodynamically Consistent Phase Field Model
16.	Efficient Numerical Methods And Applications Of Several Fractional Partial Differential Equations And Peridynamic Models
17.	Finite Element Method And Time Discretization For Allen-Cahn Equation
18.	Some New Results On Elliptic And Parabolic Equations
19.	Error Estimates And Bound Preserving Schemes Of Discontinuous Galerkin Methods For Nonlinear Equations
20.	Finite Element Numerical Simulation For Fractional Phase Field Problems
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