2024
Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems.
Adv. Comput. Math., October, 2024
Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials.
J. Comput. Appl. Math., June, 2024
Local behaviors of Fourier expansions for functions of limited regularities.
Adv. Comput. Math., June, 2024
Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants.
CoRR, 2024
The root-exponential convergence of lightning plus polynomial approximation on corner domains.
CoRR, 2024
2023
A kernel-independent uniform fast multipole method based on barycentric rational interpolation.
Numer. Algorithms, August, 2023
An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel.
J. Comput. Appl. Math., August, 2023
On optimal convergence rates of Laguerre polynomial expansions for piecewise functions.
J. Comput. Appl. Math., June, 2023
An efficient quadrature rule for weakly and strongly singular integrals.
Appl. Math. Comput., June, 2023
Exact penalization for cardinality and rank-constrained optimization problems via partial regularization.
Optim. Methods Softw., March, 2023
Pointwise error estimates and local superconvergence of Jacobi expansions.
Math. Comput., February, 2023
On the best convergence rate of lightning plus polynomial approximation for x<sup>α</sup>.
CoRR, 2023
Barycentric Interpolation Based on Equilibrium Potential.
CoRR, 2023
Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel.
Appl. Math. Comput., 2023
2022
Sparse Solutions of a Class of Constrained Optimization Problems.
Math. Oper. Res., 2022
Fast and stable augmented Levin methods for highly oscillatory and singular integrals.
Math. Comput., 2022
A fast multipole method for Fredholm integral equations of the second kind with general kernel <i>K</i>(<i>x</i>, <i>y</i>)=<i>K</i>(<i>x</i> - <i>y</i>).
Comput. Math. Appl., 2022
2021
Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities.
SIAM J. Numer. Anal., 2021
Fast linear barycentric rational interpolation for singular functions via scaled transformations.
CoRR, 2021
Coupled crash mechanics and biomechanics of aircraft structures and passengers.
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Commun. Nonlinear Sci. Numer. Simul., 2021
A new constraint preconditioner based on the PGSS iteration method for non-Hermitian generalized saddle point problems.
Appl. Math. Comput., 2021
2020
Performance Output Tracking for Multidimensional Heat Equation Subject to Unmatched Disturbance and Noncollocated Control.
IEEE Trans. Autom. Control., 2020
On the Convergence Rate of Clenshaw-Curtis Quadrature for Jacobi Weight Applied to Functions with Algebraic Endpoint Singularities.
Symmetry, 2020
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities.
Numerische Mathematik, 2020
On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels.
Int. J. Comput. Math., 2020
Implosion of the Argentinian submarine ARA San Juan S-42 undersea: Modeling and simulation.
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Commun. Nonlinear Sci. Numer. Simul., 2020
2019
Approximation to Logarithmic-Cauchy Type Singular Integrals with Highly Oscillatory Kernels.
Symmetry, 2019
Hermite-Type Collocation Methods to Solve Volterra Integral Equations with Highly Oscillatory Bessel Kernels.
Symmetry, 2019
On fast multipole methods for Volterra integral equations with highly oscillatory kernels.
J. Comput. Appl. Math., 2019
On van der Corput-type lemmas for Bessel and Airy transforms and applications.
J. Comput. Appl. Math., 2019
Least-Element Time-Stepping Methods for Simulation of Linear Networks with Ideal Switches.
Circuits Syst. Signal Process., 2019
Levin methods for highly oscillatory integrals with singularities.
CoRR, 2019
Fast computation of the spectral differentiation by the fast multipole method.
Comput. Math. Appl., 2019
Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel.
Comput. Appl. Math., 2019
On convergence rates of prolate interpolation and differentiation.
Appl. Math. Lett., 2019
Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels.
Appl. Math. Comput., 2019
On evaluation of oscillatory transforms from position to momentum space.
Appl. Math. Comput., 2019
2018
On efficient computation of highly oscillatory retarded potential integral equations.
Int. J. Comput. Math., 2018
On optimal convergence rates of a two-dimensional fast multipole method.
Appl. Math. Lett., 2018
On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity.
Appl. Math. Lett., 2018
2017
Fast multipole methods for approximating a function from sampling values.
Numer. Algorithms, 2017
A Collocation Boundary Value Method for Linear Volterra Integral Equations.
J. Sci. Comput., 2017
Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications.
Int. J. Comput. Math., 2017
2016
On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity.
SIAM J. Numer. Anal., 2016
On the evaluation of highly oscillatory finite Hankel transform using special functions.
Numer. Algorithms, 2016
Sparse solutions of linear complementarity problems.
Math. Program., 2016
A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels.
J. Comput. Appl. Math., 2016
Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method.
Int. J. Comput. Math., 2016
An improved error bound on Gauss quadrature.
Appl. Math. Lett., 2016
2015
The Fast Implementation of Higher Order Hermite-Fejér Interpolation.
SIAM J. Sci. Comput., 2015
Modified asymptotic orders of the direct Filon method for a class of Volterra integral equations.
J. Comput. Appl. Math., 2015
An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application.
J. Comput. Appl. Math., 2015
Efficient computation of highly oscillatory integrals with Hankel kernel.
Appl. Math. Comput., 2015
On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals.
Adv. Comput. Math., 2015
2014
Efficient evaluation of oscillatory Bessel Hilbert transforms.
J. Comput. Appl. Math., 2014
Numerical evaluation of a class of highly oscillatory integrals involving Airy functions.
Appl. Math. Comput., 2014
Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind.
Appl. Math. Comput., 2014
2013
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems.
Math. Program., 2013
Computation of integrals with oscillatory and singular integrands using Chebyshev expansions.
J. Comput. Appl. Math., 2013
Efficient quadrature of highly oscillatory integrals with algebraic singularities.
J. Comput. Appl. Math., 2013
On fast algorithms for the evaluation of Legendre coefficients.
Appl. Math. Lett., 2013
On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel.
Appl. Math. Lett., 2013
Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels.
Appl. Math. Comput., 2013
On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels.
Appl. Math. Comput., 2013
2012
On the Convergence Rates of Gauss and Clenshaw-Curtis Quadrature for Functions of Limited Regularity.
SIAM J. Numer. Anal., 2012
On Error Bounds for Orthogonal Polynomial Expansions and Gauss-Type Quadrature.
SIAM J. Numer. Anal., 2012
On the convergence rates of Legendre approximation.
Math. Comput., 2012
2011
Implicit solution function of P<sub>0</sub> and Z matrix linear complementarity constraints.
Math. Program., 2011
New preconditioners based on symmetric-triangular decomposition for saddle point problems.
Computing, 2011
Computation of generalized differentials in nonlinear complementarity problems.
Comput. Optim. Appl., 2011
On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity.
Appl. Math. Comput., 2011
Efficient integration for a class of highly oscillatory integrals.
Appl. Math. Comput., 2011
2010
Correction to "Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number".
SIAM J. Numer. Anal., 2010
Error bounds for approximation in Chebyshev points.
Numerische Mathematik, 2010
Fast integration of highly oscillatory integrals with exotic oscillators.
Math. Comput., 2010
On the evaluation of Cauchy principal value integrals of oscillatory functions.
J. Comput. Appl. Math., 2010
On the calculation of highly oscillatory integrals with an algebraic singularity.
Appl. Math. Comput., 2010
2009
A parameter method for computing highly oscillatory integrals.
Comput. Math. Appl., 2009
Uniform approximations to Cauchy principal value integrals of oscillatory functions.
Appl. Math. Comput., 2009
Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals.
Appl. Math. Comput., 2009
2008
On generalized quadrature rules for fast oscillatory integrals.
Appl. Math. Comput., 2008
Solving Ordinary Differential Equations by Simplex Integrals.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008
Numerical Quadrature for Bessel Transformations with High Oscillations.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008
Solving Stiff Ordinary Differential Equation With One Simultaneous Implicit Equation.
Proceedings of the 2008 International Conference on Scientific Computing, 2008
2007
Perturbation Bounds of P-Matrix Linear Complementarity Problems.
SIAM J. Optim., 2007
Efficient Filon-type methods for (∫<sub>a</sub><sup>b</sup>f(x), e<sup>iωg(x)</sup>, dx).
Numerische Mathematik, 2007
2006
Computation of Error Bounds for P-matrix Linear Complementarity Problems.
Math. Program., 2006