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1. Low Regularity Integrators for the Conservative Allen–Cahn Equation with a Nonlocal Constraint.

2. Maximum bound principle for matrix-valued Allen-Cahn equation and integrating factor Runge-Kutta method.

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3. Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation.

4. Second-Order Semi-Lagrangian Exponential Time Differencing Method with Enhanced Error Estimate for the Convective Allen–Cahn Equation.

5. On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation.

6. Optimal Parameters for Third Order Runge–Kutta Exponential Integrators for Convection–Diffusion Problems.

7. A splitting/polynomial chaos expansion approach for stochastic evolution equations.

8. Ensemble Time-Stepping Algorithm for the Convection-Diffusion Equation with Random Diffusivity.

9. On the relationship between Semi-Lagrangian and Lagrange-Galerkin schemes.

10. Stability of algorithms for a two domain natural convection problem and observed model uncertainty.