ANALYSIS OF TWO PARAREAL ALGORITHMS FOR TIME-PERIODIC PROBLEMS ∗ [PDF]
, 2013 . The parareal algorithm, which permits us to solve evolution problems in a time parallel fashion, has created a lot of attention over the past decade. The algorithm has its roots in the multiple shooting method for boundary value problems, which in the ...
Bo Song +3 more
core +1 more source
Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation
Alexandria Engineering Journal, 2020 In this paper, a new scheme based on the exponential fitting technique is presented for solving the nonlinear time-fractional Swift-Hohenberg equation, where the first and second-order derivatives are replaced by Caputo fractional derivative.
W.K. Zahra, M.A. Nasr, Dumitru Baleanu
doaj
Error estimates for the Euler discretization of an optimal control problem with first-order state constraints [PDF]
, 2017 International audienceWe study the error introduced in the solution of an optimal control problem with first order state constraints, for which the trajectories are approximated with a classical Euler scheme.
Bonnans, Joseph Frederic, Festa, Adriano
core +2 more sources
Spectral Decay of Time and Frequency Limiting Operator
, 2014 For fixed $c,$ the Prolate Spheroidal Wave Functions (PSWFs) $\psi_{n, c}$ form a basis with remarkable properties for the space of band-limited functions with bandwidth $c$. They have been largely studied and used after the seminal work of D. Slepian, H.
Bonami, Aline, Karoui, Abderrazek
core +2 more sources
Higher order numerical methods for solving fractional differential equations [PDF]
, 2013 The final publication is available at Springer via http://dx.doi.org/10.1007/s10543-013-0443-3In this paper we introduce higher order numerical methods for solving fractional differential equations. We use two approaches to this problem.
C. Lubich +21 more
core +1 more source
Demonstratio MathematicaThis article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj +1 more source
Higher order numerical method for a semilinear system of singularly perturbed differential equations [PDF]
, 2021 In this paper, a system of singularly perturbed second order semilinear differential equations with prescribed boundary conditions is considered. To solve this problem, a parameter-uniform numerical method is constructed which consists of a classical ...
Ayyadurai Tamilselvan +1 more
core +1 more source
Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]
, 2015 The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
core +2 more sources
A Parallel Method for Population Balance Equations Based on the Method of Characteristics [PDF]
, 2012 In this paper, we present a parallel scheme to solve the population balance equations based on the method of characteristics and the finite element discretization.
Li, Yu, Lin, Qun, Xie, Hehu
core +1 more source
A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]
, 2018 In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar +2 more
core +2 more sources