R
R.H. De Staelen
Researcher at Ghent University
Publications - 12
Citations - 275
R.H. De Staelen is an academic researcher from Ghent University. The author has contributed to research in topics: Nonlinear system & Weak solution. The author has an hindex of 8, co-authored 12 publications receiving 223 citations.
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Journal ArticleDOI
Numerically pricing double barrier options in a time-fractional Black–Scholes model
TL;DR: The solvability, stability and convergence of the proposed numerical scheme are proved using a Fourier analysis, and the results are demonstrated on two examples.
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A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives
TL;DR: A general nonlinear wave equation with Riesz space-fractional derivatives that generalizes various classical hyperbolic models, including the sine-Gordon and the Klein–Gordon equations from relativistic quantum mechanics is investigated.
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On a class of non-linear delay distributed order fractional diffusion equations
TL;DR: This study covers the unique solvability, convergence and stability of the resulted numerical solution by means of the discrete energy method and the derivation of a linearized difference scheme with convergence order O ( ź + ( Δ α ) 4 + h 4 ) in L ∞ -norm.
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A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations
TL;DR: This work investigates numerically a nonlinear hyperbolic partial differential equation with space fractional derivatives of the Riesz type and proposes a finite-difference method based on fractional centered differences that is capable of preserving the discrete energy of the system.
Journal ArticleDOI
Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement
R.H. De Staelen,Marián Slodička +1 more
TL;DR: In this article, a semilinear parabolic problem with an unknown time-convolution kernel is considered, and a numerical algorithm based on Rothe's method is designed and proved convergence of iterates towards the exact solution.