26 citations to 10.1137/090772125 (Crossref Cited-By Service)
  1. Jiyong Li, “Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation”, Applied Numerical Mathematics, 172, 2022, 1  crossref
  2. Elena Kopylova, “On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities”, J Dyn Diff Equat, 30, no. 1, 2018, 107  crossref
  3. Andres Contreras, Dmitry E. Pelinovsky, Yusuke Shimabukuro, “L2orbital stability of Dirac solitons in the massive Thirring model”, Communications in Partial Differential Equations, 41, no. 2, 2016, 227  crossref
  4. Weizhu Bao, Yongyong Cai, Yue Feng, “Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation”, IMA Journal of Numerical Analysis, 44, no. 2, 2024, 654  crossref
  5. Nabile Boussaid, Scipio Cuccagna, “On Stability of Standing Waves of Nonlinear Dirac Equations”, Communications in Partial Differential Equations, 37, no. 6, 2012, 1001  crossref
  6. Scipio Cuccagna, Masaya Maeda, “On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential”, SIAM J. Math. Anal., 51, no. 6, 2019, 4311  crossref
  7. Weizhu Bao, Yongyong Cai, Jia Yin, “Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential”, SIAM J. Numer. Anal., 59, no. 2, 2021, 1040  crossref
  8. Andrew Comech, “Solutions with Compact Time Spectrum to Nonlinear Klein–Gordon and Schrödinger Equations and the Titchmarsh Theorem for Partial Convolution”, Arnold Math J., 5, no. 2-3, 2019, 315  crossref
  9. Alexander Komech, Elena Kopylova, Attractors of Hamiltonian Nonlinear Partial Differential Equations, 2021  crossref
  10. Feng Liao, Fazhan Geng, Tingchun Wang, “Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein–Gordon–Dirac system”, Communications in Nonlinear Science and Numerical Simulation, 118, 2023, 107064  crossref
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