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Explicit exponential Runge-Kutta methods for semilinear parabolic problems. (English) Zbl 1093.65052

MSC:
65J15 Numerical solutions to equations with nonlinear operators (do not use 65Hxx)
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
34G20 Nonlinear differential equations in abstract spaces
65L70 Error bounds for numerical methods for ordinary differential equations
35K55 Nonlinear parabolic equations
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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