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1.Parallel methods for weakly singular Volterra integral equations on GPUs

作者：Dajana Conte ; ^{dajconte@unisa.it} ; Beatrice Paternoster ^{beapat@unisa.it}

关键词：Waveform relaxation ; General purpose GPU computing ; Parallel computing ; Large systems of weakly singular Volterra integral equations

刊名：Applied Numerical Mathematics

出版年：2017

2.Numeric solution of Volterra integral equations of the first kind with discontinuous kernels

作者：Ildar Muftahov^a ; Aleksandr Tynda^b ; Denis Sidorov^a ; ^c ; ^{contact.dns@gmail.com" class="auth_mail" title="E-mail the corresponding author}

关键词：Volterra integral equations ; Discontinuous kernels ; Direct quadrature method ; Regularization ; Evolving dynamical systems ; Midpoint quadrature

刊名：Journal of Computational and Applied Mathematics

出版年：2017

3.High order exponentially fitted methods for Volterra integral equations with periodic solution

作者：A. Cardone ; ^{ancardone@unisa.it} ; R. D'Ambrosio ^{rdambrosio@unisa.it} ; B. Paternoster ^{beapat@unisa.it}

关键词：Volterra integral equations ; Exponential fitting ; Periodic ; Direct quadrature

刊名：Applied Numerical Mathematics

出版年：2017

4.A spectral iterative method for solving nonlinear singular Volterra integral equations of Abel type

作者：A. Shoja^a ; ^{Ahmadshoja1@yahoo.com} ; A.R. Vahidi^b ; E. Babolian^a

关键词：Iterative method ; Spectral method ; Fractional differential equation ; Volterra integral equation ; Collocation method

刊名：Applied Numerical Mathematics

出版年：2017

5.Analytical and computational methods for a class of nonlinear singular integral equations

作者：Sonia Seyed Allaei^a ; ^b ; ^{soniase@gmail.com} ; Teresa Diogo^b ; ^{tdiogo@math.ist.utl.pt} ; Magda Rebelo^c ; ^{msjr@fct.unl.pt}

关键词：Nonlinear Volterra integral equation ; Weakly singular kernel ; Hammerstein equations ; Iterative solution ; Product integration method

刊名：Applied Numerical Mathematics

出版年：2017

6.A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations

作者：P.K. Sahu ; S. Saha Ray ; ^{santanusaharay@yahoo.com}

关键词：Hammerstein&ndash ; Volterra integral equation ; Fuzzy delay integral equation ; Bernoulli polynomials ; Bernoulli wavelets

刊名：Fuzzy Sets and Systems

出版年：2017

7.Convergence analysis of the Jacobi-collocation method for nonlinear weakly singular Volterra integral equations

作者：S. Sohrabi ; ^{s.sohrabi@urmia.ac.ir} ; H. Ranjbar ^{hamidranjbar80@yahoo.com} ; M. Saei ^{masumeh.saei303@gmail.com}

关键词：Collocation method ; Jacobi polynomials ; Nonlinear Volterra integral equation ; Weakly singular ; Convergence analysis

刊名：Applied Mathematics and Computation

出版年：2017

8.A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays

作者：Elcin Gokmen^a ; ^{egokmen@mu.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; Gamze Yuksel^a ; ^{ngamze@mu.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; Mehmet Sezer^b ; ^{mehmet.sezer@cbu.edu.tr" class="auth_mail" title="E-mail the corresponding author}

关键词：Integro functional equations ; Taylor polynomials ; Approximate solutions ; Collocation method

刊名：Journal of Computational and Applied Mathematics

出版年：2017

9.Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions

作者：Esmail Hesameddini ; ^{hesameddini@sutech.ac.ir} ; Mehdi Shahbazi ^{me.shahbazi@sutech.ac.ir}

关键词：45G10 ; 65R20 ; 68U20 ; 65C20

刊名：Journal of Computational and Applied Mathematics

出版年：2017

10.A new upper estimation for the blow-up time of solutions of a Volterra integral equation and its application to the modeling of the formation of shear bands

作者：Tomasz Małolepszy ^{t.malolepszy@wmie.uz.zgora.pl}

关键词：Volterra integral equation ; Blow-up solutions ; Estimation of the blow-up time ; Formation of shear bands

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

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