## Found 630 Documents (Results 1–100)

100
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### Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation. (English)Zbl 07620375

MSC:  65Mxx 65Lxx 35Kxx
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### Fourth-order structure-preserving method for the conservative Allen-Cahn equation. (English)Zbl 07612912

MSC:  65N06 65N12
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MSC:  35Rxx
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### Efficiently energy-dissipation-preserving ADI methods for solving two-dimensional nonlinear Allen-Cahn equation. (English)Zbl 07625621

MSC:  65-XX 76-XX
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### New two-derivative implicit-explicit Runge-Kutta methods for stiff reaction-diffusion systems. (English)Zbl 07605581

MSC:  65Lxx 65Mxx 35Kxx
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### An explicit stable finite difference method for the Allen-Cahn equation. (English)Zbl 07603710

MSC:  65M06 65N06 35C07
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### A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems. (English)Zbl 07578506

MSC:  65-XX 82-XX
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### Numerical solutions of the Allen-Cahn equation with the $$p$$-Laplacian. (English)Zbl 07576344

MSC:  65Mxx 35Jxx 35Bxx
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### Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme. (English)Zbl 07576332

MSC:  65Mxx 35Qxx 35Rxx
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### Comparison of different time discretization schemes for solving the Allen-Cahn equation. (English)Zbl 07565169

MSC:  65M60 65M22 65F10
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### A phase field-based systematic multiscale topology optimization method for porous structures design. (English)Zbl 07561066

MSC:  74Pxx 74Exx 74Sxx
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### Spatiotemporal pattern formations in stiff reaction-diffusion systems by new time marching methods. (English)Zbl 07555040

MSC:  65Lxx 65Mxx 35Kxx
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### Numerical analysis of energy-stable Crank-Nicolson finite difference schemes for the phase-field equation. (English)Zbl 07545044

MSC:  65Mxx 35Qxx 65Nxx
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### Mass-conserving stochastic partial differential equations and backward doubly stochastic differential equations. (English)Zbl 1491.60111

MSC:  60H15 60H10 37H10
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### A novel adaptive Crank-Nicolson-type scheme for the time fractional Allen-Cahn model. (English)Zbl 07534440

MSC:  65-XX 82-XX
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### An effective operator splitting scheme for two-dimensional conservative nonlocal Allen-Cahn equation. (English)Zbl 07523645

MSC:  65-XX 35-XX
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### The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation. (English)Zbl 07518106

MSC:  65Mxx 65Lxx 35Qxx
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### Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations. (English)Zbl 07518061

MSC:  65Mxx 35Qxx 35Kxx
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### Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models. (English)Zbl 07518050

MSC:  65Mxx 35Kxx 35Qxx
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### Asymptotic limits of viscous Cahn-Hilliard equation with homogeneous Dirichlet boundary condition. (English)Zbl 07496950

MSC:  35B40 35K35 35K58
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### Ground states of semilinear elliptic problems with applications to the Allen-Cahn equation on the sphere. (English)Zbl 1492.35113

MSC:  35J61 35J20
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### A conservative Allen-Cahn equation with a curvature-dependent Lagrange multiplier. (English)Zbl 07479000

MSC:  65-XX 35-XX
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### Fast algorithm for nonlocal Allen-Cahn equation with scalar auxiliary variable approach. (English)Zbl 07478993

MSC:  65Mxx 74-XX
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MSC:  65-XX
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### A novel sequential method to train physics informed neural networks for Allen Cahn and Cahn Hilliard equations. (English)Zbl 07464752

MSC:  65-XX 68-XX
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### Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations. (English)Zbl 07458302

MSC:  65Mxx 65Lxx 35Kxx
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### Convergence of the Allen-Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to $$90^\circ$$. (English)Zbl 1485.35020

Reviewer: Kelei Wang (Wuhan)
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### (Non)-convergence of solutions of the convective Allen-Cahn equation. (English)Zbl 07451783

MSC:  76T99 76M45 35Q35
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### Error analysis of the Crank-Nicolson SAV method for the Allen-Cahn equation on variable grids. (English)Zbl 07443241

MSC:  65-XX 35-XX
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### The analysis of an efficient numerical scheme for the Allen-Cahn equations using the Galerkin method. (English)Zbl 07443073

MSC:  65Mxx 65Lxx 35Kxx
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### Numerical error analysis for an energy-stable HDG method for the Allen-Cahn equation. (English)Zbl 07415975

MSC:  65Mxx 65Nxx 35Jxx
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### An efficient multi-level high-order algorithm for simulation of a class of Allen-Cahn stochastic systems. (English)Zbl 1489.65009

MSC:  65C05 60H15
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### Barycentric interpolation collocation method based on Crank-Nicolson scheme for the Allen-Cahn equation. (English)Zbl 07543303

MSC:  65M70 65L20
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### Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations. (English)Zbl 07512335

MSC:  65Mxx 35Kxx 35Qxx
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### Phase-field-based axisymmetric lattice Boltzmann method for two-phase electro-hydrodynamic flows. (English)Zbl 1485.76067

MSC:  76M28 76W05 76T10
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MSC:  82-XX
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### Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise. (English)Zbl 1476.65243

MSC:  65M60 60H15 60H35
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### Explicit hybrid numerical method for the Allen-Cahn type equations on curved surfaces. (English)Zbl 1488.65229

MSC:  65M06 65M22 35K57
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### Adaptive discontinuous Galerkin finite elements for advective Allen-Cahn equation. (English)Zbl 1476.65253

MSC:  65M60 35K57 65M15
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### Domain formation via phase separation for spherical biomembranes with small deformations. (English)Zbl 1479.35013

MSC:  35A15 35B40 35Q92
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### On obstacle problem for Brakke’s mean curvature flow. (English)Zbl 1479.35547

MSC:  35K93 53E10
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### Numerical investigation to the effect of initial guess for phase-field models. (English)Zbl 1475.65086

MSC:  65M06 68U10
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### Non-iterative compact operator splitting scheme for Allen-Cahn equation. (English)Zbl 1476.35126

MSC:  35K61 65M06 65M12
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MSC:  76-XX
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MSC:  76-XX
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### Reduction-consistent axisymmetric lattice Boltzmann equation method for $$N$$-phase fluids. (English)Zbl 07426159

MSC:  76-XX 82-XX
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### On the entropy of parabolic Allen-Cahn equation. (English)Zbl 1480.53108

MSC:  53E10 35K57
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### Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. (English)Zbl 07419706

MSC:  68Txx 65Mxx
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### A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen-Cahn equations. (English)Zbl 07410047

MSC:  65-XX 39-XX
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### Regularity of minimal and CMC stable hypersurfaces: a brief overview. (English)Zbl 1470.53004

Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 491-511 (2021).
MSC:  53-02 53C42 35-02
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### Simons cone and saddle solutions of the Allen-Cahn equation. (English)Zbl 1471.35162

Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 471-478 (2021).
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### On the stochastic Allen-Cahn equation on networks with multiplicative noise. (English)Zbl 1474.60163

Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 7, 24 p. (2021); corrigendum ibid. 2021, Paper No. 52, 4 p. (2021).
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