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1. Nonlinear forced vibration in a subcritical regime of a porous functionally graded pipe conveying fluid with a retaining clip.

3. Existence and exponential stability of solutions for a Balakrishnan–Taylor quasilinear wave equation with strong damping and localized nonlinear damping.

4. Validated integration of semilinear parabolic PDEs.

6. Exponential decay of solutions to an inertial model for a wave equation with viscoelastic damping and time varying delay.

7. On the Nature of Local Bifurcations of the Kuramoto–Sivashinsky Equation in Various Domains.

9. Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations.

10. Harmonic approximations of analytic functions.

11. Uniform in time error estimates for fully discrete numerical schemes of a data assimilation algorithm

12. Postprocessing Galerkin method applied to a data assimilation algorithm: a uniform in time error estimate

13. Second-Kind Equilibrium States of the Kuramoto–Sivashinsky Equation with Homogeneous Neumann Boundary Conditions.

14. Existence of solution for elliptic equations with supercritical Trudinger–Moser growth.

15. Kernel Embedding Based Variational Approach for Low-Dimensional Approximation of Dynamical Systems.

16. Quartic-trigonometric tension B-spline Galerkin method for the solution of the advection-diffusion equation.

17. Rigorous Numerics for Partial Differential Equations: the Kuramoto-Sivashinsky equation

18. Image Morphing in Deep Feature Spaces: Theory and Applications.

19. Positive solutions of nonlinear elliptic equations involving supercritical Sobolev exponents without Ambrosetti and Rabinowitz condition.

20. Convergence rates of approximations of incompressible flows through granular porous media.

21. Eigendecompositions of Transfer Operators in Reproducing Kernel Hilbert Spaces.

22. Variational Approach for Learning Markov Processes from Time Series Data.

23. A steepest descent algorithm for the computation of traveling dissipative solitons.

24. Structure preserving approximation of dissipative evolution problems.

26. Numerical solution of systems of fractional delay differential equations using a new kind of wavelet basis.

27. Data-Driven Model Reduction and Transfer Operator Approximation.

29. Fourier-Taylor Approximation of Unstable Manifolds for Compact Maps: Numerical Implementation and Computer-Assisted Error Bounds.

30. Dynamic mode decomposition for financial trading strategies.

31. The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories.

32. Approximate explicit solutions of Orr-Sommerfeld equations and heat transfer in a geometry with variable cross section by He's methods and comparison with the ADM and DTM.

34. Dissipativity of θ-methods for a class of nonlinear neutral delay integro-differential equations.

35. A modified quasi-boundary value method for regularizing of a backward problem with time-dependent coefficient.

39. Postprocessing Galerkin method applied to a data assimilation algorithm: a uniform in time error estimate

45. Positive feedback control of Rayleigh-Bénard convection

46. Parallel simulation of high power semiconductor lasers

47. Improving the modulation bandwidth in semiconductor lasers by passive feedback

48. Numerical bifurcation analysis of traveling wave model of multisection semiconductor lasers

49. Steady approximate inertial manifolds of exponential order for semilinear parabolic equations

50. Rigorous numerics for partial differential equations : the Kuramoto-Sivashinsky equation

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