Cui, Shengzhu; Tao, Zhanjing; Zhu, Jun A new fifth-order finite volume central WENO scheme for hyperbolic conservation laws on staggered meshes. (English) Zbl 07571449 Adv. Appl. Math. Mech. 14, No. 5, 1059-1086 (2022). MSC: 65M60 35L65 PDF BibTeX XML Cite \textit{S. Cui} et al., Adv. Appl. Math. Mech. 14, No. 5, 1059--1086 (2022; Zbl 07571449) Full Text: DOI OpenURL
Hong, Jialin; Hou, Baohui; Li, Qiang; Sun, Liying Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations. (English) Zbl 07568553 J. Comput. Phys. 467, Article ID 111453, 24 p. (2022). MSC: 65Mxx 60Hxx 65Pxx PDF BibTeX XML Cite \textit{J. Hong} et al., J. Comput. Phys. 467, Article ID 111453, 24 p. (2022; Zbl 07568553) Full Text: DOI OpenURL
Chen, Yue; Gong, Yuezheng; Hong, Qi; Wang, Chunwu A novel class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation. (English) Zbl 07568042 Numer. Math., Theory Methods Appl. 15, No. 3, 768-792 (2022). MSC: 65M06 65M70 PDF BibTeX XML Cite \textit{Y. Chen} et al., Numer. Math., Theory Methods Appl. 15, No. 3, 768--792 (2022; Zbl 07568042) Full Text: DOI OpenURL
Butcher, John C.; Podhaisky, Helmut Isomeric trees and the order of Runge-Kutta methods. (English) Zbl 07567538 J. Comput. Appl. Math. 415, Article ID 114480, 8 p. (2022). MSC: 65L06 PDF BibTeX XML Cite \textit{J. C. Butcher} and \textit{H. Podhaisky}, J. Comput. Appl. Math. 415, Article ID 114480, 8 p. (2022; Zbl 07567538) Full Text: DOI OpenURL
Fu, Yayun; Xu, Zhuangzhi Explicit high-order conservative exponential time differencing Runge-Kutta schemes for the two-dimensional nonlinear Schrödinger equation. (English) Zbl 07566246 Comput. Math. Appl. 119, 141-148 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{Y. Fu} and \textit{Z. Xu}, Comput. Math. Appl. 119, 141--148 (2022; Zbl 07566246) Full Text: DOI OpenURL
Ai, Jingqi; Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang \(\mathrm{L}^2\) error estimate to smooth solutions of high order Runge-Kutta discontinuous Galerkin method for scalar nonlinear conservation laws with and without sonic points. (English) Zbl 07565244 SIAM J. Numer. Anal. 60, No. 4, 1741-1773 (2022). MSC: 65M12 65M15 PDF BibTeX XML Cite \textit{J. Ai} et al., SIAM J. Numer. Anal. 60, No. 4, 1741--1773 (2022; Zbl 07565244) Full Text: DOI OpenURL
Li, Xin; Zhang, Luming High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation. (English) Zbl 07560216 Adv. Comput. Math. 48, No. 4, Paper No. 41, 22 p. (2022). MSC: 65Mxx PDF BibTeX XML Cite \textit{X. Li} and \textit{L. Zhang}, Adv. Comput. Math. 48, No. 4, Paper No. 41, 22 p. (2022; Zbl 07560216) Full Text: DOI OpenURL
Al-Shimmary, Abbas; Hussain, Amina Kassim; Radhi, Sajeda Kareem; Hussain, Ahmed Hadi The improved \(6^{th}\) order Runge-Kutta method for solving initial value problems. (English) Zbl 07555751 Int. J. Math. Comput. Sci. 17, No. 3, 1219-1225 (2022). MSC: 65L05 PDF BibTeX XML Cite \textit{A. Al-Shimmary} et al., Int. J. Math. Comput. Sci. 17, No. 3, 1219--1225 (2022; Zbl 07555751) Full Text: Link OpenURL
Preuss, Adam; Lipoth, Jessica; Spiteri, Raymond J. When and how to split? A comparison of two IMEX splitting techniques for solving advection-diffusion-reaction equations. (English) Zbl 07553111 J. Comput. Appl. Math. 414, Article ID 114418, 18 p. (2022). MSC: 65L04 65L05 65L06 65M20 65Y20 PDF BibTeX XML Cite \textit{A. Preuss} et al., J. Comput. Appl. Math. 414, Article ID 114418, 18 p. (2022; Zbl 07553111) Full Text: DOI OpenURL
Samuel, D. J. Numerical investigations of thermal radiation and activation energy imparts on chemically reactive Maxwell fluid flow over an exothermal stretching sheet in a porous medium. (English) Zbl 07549888 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 148, 20 p. (2022). MSC: 76-XX 80-XX PDF BibTeX XML Cite \textit{D. J. Samuel}, Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 148, 20 p. (2022; Zbl 07549888) Full Text: DOI OpenURL
Mohdeb, Nadia; Mehidi, Noureddine Homoclinic orbits in a degenerate differential system and their preservation after discretization by Euler’s method. (English) Zbl 07546783 Palest. J. Math. 11, No. 1, 651-663 (2022). MSC: 34C37 39A05 65L06 65P99 PDF BibTeX XML Cite \textit{N. Mohdeb} and \textit{N. Mehidi}, Palest. J. Math. 11, No. 1, 651--663 (2022; Zbl 07546783) Full Text: Link OpenURL
Shaidurov, Vladimir V.; Novikov, Anton E. Difference schemes for second-order ordinary differential equations with corrector and predictor properties. (English) Zbl 07543680 Russ. J. Numer. Anal. Math. Model. 37, No. 3, 175-187 (2022). MSC: 65-XX 65L06 65L20 PDF BibTeX XML Cite \textit{V. V. Shaidurov} and \textit{A. E. Novikov}, Russ. J. Numer. Anal. Math. Model. 37, No. 3, 175--187 (2022; Zbl 07543680) Full Text: DOI OpenURL
Wang, Wansheng; Mao, Mengli; Huang, Yi Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations. (English) Zbl 07542682 J. Comput. Appl. Math. 413, Article ID 114306, 21 p. (2022). MSC: 65M20 65L06 65L70 65M15 65M50 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Comput. Appl. Math. 413, Article ID 114306, 21 p. (2022; Zbl 07542682) Full Text: DOI OpenURL
Mahatekar, Yogita; Deshpande, Amey S. A generalized NPCM for solving multi-term fractional differential equations. (English) Zbl 07541725 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 115, 17 p. (2022). MSC: 65L06 34A08 PDF BibTeX XML Cite \textit{Y. Mahatekar} and \textit{A. S. Deshpande}, Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 115, 17 p. (2022; Zbl 07541725) Full Text: DOI OpenURL
Mabood, F.; Fatunmbi, E. O.; Benos, L.; Sarris, I. E. Entropy generation in the magnetohydrodynamic Jeffrey nanofluid flow over a stretching sheet with wide range of engineering application parameters. (English) Zbl 07541708 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 98, 18 p. (2022). MSC: 76W05 76T20 76A05 76V05 76M20 80A19 80A21 PDF BibTeX XML Cite \textit{F. Mabood} et al., Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 98, 18 p. (2022; Zbl 07541708) Full Text: DOI OpenURL
Wang, Yuanbin; Zhu, Weidong Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading. (English) Zbl 07540489 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106536, 20 p. (2022). MSC: 74H45 74H60 74K10 74B20 74H10 74S20 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{W. Zhu}, Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106536, 20 p. (2022; Zbl 07540489) Full Text: DOI OpenURL
Jan, Muhammad Naeem; Zaman, Gul; Ali, Nigar; Ahmad, Imtiaz; Shah, Zahir Optimal control application to the epidemiology of HBV and HCV co-infection. (English) Zbl 07539601 Int. J. Biomath. 15, No. 3, Article ID 2150101, 36 p. (2022). MSC: 92D30 34A34 34D23 49J15 49J20 PDF BibTeX XML Cite \textit{M. N. Jan} et al., Int. J. Biomath. 15, No. 3, Article ID 2150101, 36 p. (2022; Zbl 07539601) Full Text: DOI OpenURL
Sun, Geng; Gan, Siqing; Liu, Hongyu; Shang, Zaijiu Symmetric-adjoint and symplectic-adjoint Runge-Kutta methods and their applications. (English) Zbl 07538552 Numer. Math., Theory Methods Appl. 15, No. 2, 304-335 (2022). MSC: 65L06 37M15 65P10 PDF BibTeX XML Cite \textit{G. Sun} et al., Numer. Math., Theory Methods Appl. 15, No. 2, 304--335 (2022; Zbl 07538552) Full Text: DOI OpenURL
Ahmat, Muyassar; Qiu, Jianxian SSP IMEX Runge-Kutta WENO scheme for generalized Rosenau-KdV-RLW equation. (English) Zbl 07537604 J. Math. Study 55, No. 1, 1-21 (2022). MSC: 65M60 35L65 PDF BibTeX XML Cite \textit{M. Ahmat} and \textit{J. Qiu}, J. Math. Study 55, No. 1, 1--21 (2022; Zbl 07537604) Full Text: DOI OpenURL
Wang, Jingyue; Liu, Ning; Wang, Haotian; Guo, Lixin Research on bifurcation and chaos characteristics of planet gear transmission system with mixed elastohydrodynamic lubrication (EHL) friction. (English) Zbl 07533151 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 1, 1-14 (2022). MSC: 70-XX 74-XX PDF BibTeX XML Cite \textit{J. Wang} et al., Int. J. Nonlinear Sci. Numer. Simul. 23, No. 1, 1--14 (2022; Zbl 07533151) Full Text: DOI OpenURL
Zhai, Wenjuan; Fu, Shuhuan; Zhou, Tianchong; Xiu, Chun Exponentially-fitted and trigonometrically-fitted implicit RKN methods for solving \(y^{\prime\prime}=f(t,y)\). (English) Zbl 07532888 J. Appl. Math. Comput. 68, No. 2, 1449-1466 (2022). MSC: 65L05 65L06 65M20 65N40 PDF BibTeX XML Cite \textit{W. Zhai} et al., J. Appl. Math. Comput. 68, No. 2, 1449--1466 (2022; Zbl 07532888) Full Text: DOI OpenURL
Akram, Muhammad; Saqib, Muhammad; Bashir, Shahida; Allahviranloo, Tofigh An efficient numerical method for solving \(m\)-polar fuzzy initial value problems. (English) Zbl 07530579 Comput. Appl. Math. 41, No. 4, Paper No. 157, 42 p. (2022). MSC: 03E72 65L05 65L06 PDF BibTeX XML Cite \textit{M. Akram} et al., Comput. Appl. Math. 41, No. 4, Paper No. 157, 42 p. (2022; Zbl 07530579) Full Text: DOI OpenURL
Izem, Nouh; Seaid, Mohammed A well-balanced Runge-Kutta discontinuous Galerkin method for multilayer shallow water equations with non-flat bottom topography. (English) Zbl 07528513 Adv. Appl. Math. Mech. 14, No. 3, 725-758 (2022). MSC: 35L65 35L40 65M60 85A30 86A05 PDF BibTeX XML Cite \textit{N. Izem} and \textit{M. Seaid}, Adv. Appl. Math. Mech. 14, No. 3, 725--758 (2022; Zbl 07528513) Full Text: DOI OpenURL
Marciniak, Andrzej; Szyszka, Barbara; Hoffmann, Tomasz An interval version of the Kuntzmann-Butcher method for solving the initial value problem. (English) Zbl 07527927 Comput. Methods Differ. Equ. 10, No. 1, 44-60 (2022). MSC: 65G30 65G40 65L05 65L06 65Y04 PDF BibTeX XML Cite \textit{A. Marciniak} et al., Comput. Methods Differ. Equ. 10, No. 1, 44--60 (2022; Zbl 07527927) Full Text: DOI OpenURL
Cui, Shengzhu; Zhu, Jun A new finite volume multi-resolution central WENO scheme for Navier-Stokes equations on staggered meshes. (English) Zbl 07526129 Comput. Methods Appl. Mech. Eng. 393, Article ID 114822, 22 p. (2022). MSC: 65M60 35L65 PDF BibTeX XML Cite \textit{S. Cui} and \textit{J. Zhu}, Comput. Methods Appl. Mech. Eng. 393, Article ID 114822, 22 p. (2022; Zbl 07526129) Full Text: DOI OpenURL
Zhang, Hong; Yan, Jingye; Qian, Xu; Song, Songhe Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations. (English) Zbl 07526127 Comput. Methods Appl. Mech. Eng. 393, Article ID 114817, 31 p. (2022). MSC: 65L06 65M12 35B50 35K55 PDF BibTeX XML Cite \textit{H. Zhang} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114817, 31 p. (2022; Zbl 07526127) Full Text: DOI OpenURL
Nan, Caixia; Song, Huailing The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation. (English) Zbl 07518106 J. Comput. Phys. 456, Article ID 111028, 19 p. (2022). MSC: 65Mxx 65Lxx 35Qxx PDF BibTeX XML Cite \textit{C. Nan} and \textit{H. Song}, J. Comput. Phys. 456, Article ID 111028, 19 p. (2022; Zbl 07518106) Full Text: DOI OpenURL
Arefmanesh, Ali; Arani, Mehdi Madandar; Arani, Ali Akbar Abbasian Dynamics of a bubble in a power-law fluid confined within an elastic solid. (English) Zbl 07516866 Eur. J. Mech., B, Fluids 94, 29-36 (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{A. Arefmanesh} et al., Eur. J. Mech., B, Fluids 94, 29--36 (2022; Zbl 07516866) Full Text: DOI OpenURL
Cano, B.; Reguera, N. How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems. (English) Zbl 07515296 BIT 62, No. 2, 431-463 (2022). MSC: 65M20 65L06 65M12 PDF BibTeX XML Cite \textit{B. Cano} and \textit{N. Reguera}, BIT 62, No. 2, 431--463 (2022; Zbl 07515296) Full Text: DOI OpenURL
Fu, Yayun; Shi, Yanhua; Zhao, Yanmin Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation. (English) Zbl 07513115 Int. J. Comput. Math. 99, No. 5, 877-894 (2022). MSC: 35R11 65M70 PDF BibTeX XML Cite \textit{Y. Fu} et al., Int. J. Comput. Math. 99, No. 5, 877--894 (2022; Zbl 07513115) Full Text: DOI OpenURL
Bayleyegn, Teshome; Faragó, István; Havasi, Ágnes On the consistency order of Runge-Kutta methods combined with active Richardson extrapolation. (English) Zbl 07511625 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 101-108 (2022). MSC: 65L06 65B05 65L20 PDF BibTeX XML Cite \textit{T. Bayleyegn} et al., Lect. Notes Comput. Sci. 13127, 101--108 (2022; Zbl 07511625) Full Text: DOI OpenURL
Xu, Yuan; Zhang, Qiang Superconvergence analysis of the Runge-Kutta discontinuous Galerkin method with upwind-biased numerical flux for two-dimensional linear hyperbolic equation. (English) Zbl 07508617 Commun. Appl. Math. Comput. 4, No. 1, 319-352 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{Q. Zhang}, Commun. Appl. Math. Comput. 4, No. 1, 319--352 (2022; Zbl 07508617) Full Text: DOI OpenURL
Chen, Bingzhen; Zhai, Wenjuan Optimal three-stage implicit exponentially-fitted RKN methods for solving second-order ODEs. (English) Zbl 07506746 Calcolo 59, No. 1, Paper No. 14, 18 p. (2022). MSC: 65L05 65L06 65M20 65N40 62H12 PDF BibTeX XML Cite \textit{B. Chen} and \textit{W. Zhai}, Calcolo 59, No. 1, Paper No. 14, 18 p. (2022; Zbl 07506746) Full Text: DOI OpenURL
Taddesse, Taye Melaku; Mathew, Joseph Development and scaling of turbulent, twin round jets. (English) Zbl 07501261 J. Fluid Mech. 939, Paper No. A13, 17 p. (2022). MSC: 76F10 76F50 76F65 PDF BibTeX XML Cite \textit{T. M. Taddesse} and \textit{J. Mathew}, J. Fluid Mech. 939, Paper No. A13, 17 p. (2022; Zbl 07501261) Full Text: DOI OpenURL
Southworth, Ben S.; Krzysik, Oliver; Pazner, Will Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs. II: Nonlinearities and DAEs. (English) Zbl 07495537 SIAM J. Sci. Comput. 44, No. 2, A636-A663 (2022). MSC: 65M22 65M20 PDF BibTeX XML Cite \textit{B. S. Southworth} et al., SIAM J. Sci. Comput. 44, No. 2, A636--A663 (2022; Zbl 07495537) Full Text: DOI OpenURL
Beljadid, Abdelaziz; Joundy, Youssef; Rouah, Hamza; Taik, Ahmed Transition to chaos in five-dimensional porous-medium thermal-hydrodynamic model with low Prandtl number. (English) Zbl 07491261 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2250021, 22 p. (2022). MSC: 37N10 65P20 70K55 65L06 76S05 PDF BibTeX XML Cite \textit{A. Beljadid} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2250021, 22 p. (2022; Zbl 07491261) Full Text: DOI OpenURL
Sato Martín de Almagro, Rodrigo T. Convergence of Lobatto-type Runge-Kutta methods for partitioned differential-algebraic systems of index \(2\). (English) Zbl 1485.65127 BIT 62, No. 1, 45-67 (2022). MSC: 65P10 65L80 65L06 70G45 70Hxx PDF BibTeX XML Cite \textit{R. T. Sato Martín de Almagro}, BIT 62, No. 1, 45--67 (2022; Zbl 1485.65127) Full Text: DOI arXiv OpenURL
Zhang, Gui-Lai Convergence, consistency and zero stability of impulsive one-step numerical methods. (English) Zbl 07488793 Appl. Math. Comput. 423, Article ID 127017, 13 p. (2022). MSC: 65Lxx 34Axx 34Kxx PDF BibTeX XML Cite \textit{G.-L. Zhang}, Appl. Math. Comput. 423, Article ID 127017, 13 p. (2022; Zbl 07488793) Full Text: DOI OpenURL
Xu, Yuan; Zhao, Di; Zhang, Qiang Local error estimates for Runge-Kutta discontinuous Galerkin methods with upwind-biased numerical fluxes for a linear hyperbolic equation in one-dimension with discontinuous initial data. (English) Zbl 07488721 J. Sci. Comput. 91, No. 1, Paper No. 11, 30 p. (2022). MSC: 65M60 65M22 65N30 65M12 65M15 PDF BibTeX XML Cite \textit{Y. Xu} et al., J. Sci. Comput. 91, No. 1, Paper No. 11, 30 p. (2022; Zbl 07488721) Full Text: DOI OpenURL
Chouchoulis, Jeremy; Schütz, Jochen; Zeifang, Jonas Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws. (English) Zbl 1486.65098 J. Sci. Comput. 90, No. 3, Paper No. 96, 24 p. (2022). MSC: 65M06 65L06 65M20 65M12 35L65 PDF BibTeX XML Cite \textit{J. Chouchoulis} et al., J. Sci. Comput. 90, No. 3, Paper No. 96, 24 p. (2022; Zbl 1486.65098) Full Text: DOI arXiv OpenURL
Wibisono, Indra; Yanuar; Gunawan Hybrid Hermite TENO scheme with a simple smoothness indicator for compressible flow simulations. (English) Zbl 07483466 Results Appl. Math. 13, Article ID 100234, 11 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65L06 65N08 35L65 76L05 76N99 PDF BibTeX XML Cite \textit{I. Wibisono} et al., Results Appl. Math. 13, Article ID 100234, 11 p. (2022; Zbl 07483466) Full Text: DOI OpenURL
Bragin, Michael D. High-order bicompact schemes for the quasilinear multidimensional diffusion equation. (English) Zbl 1486.65095 Appl. Numer. Math. 174, 112-126 (2022). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65M20 65N08 65L06 PDF BibTeX XML Cite \textit{M. D. Bragin}, Appl. Numer. Math. 174, 112--126 (2022; Zbl 1486.65095) Full Text: DOI OpenURL
Southworth, Ben S.; Krzysik, Oliver; Pazner, Will; De Sterck, Hans Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs. I: The linear setting. (English) Zbl 07482211 SIAM J. Sci. Comput. 44, No. 1, A416-A443 (2022). MSC: 65M60 65M20 65M22 PDF BibTeX XML Cite \textit{B. S. Southworth} et al., SIAM J. Sci. Comput. 44, No. 1, A416--A443 (2022; Zbl 07482211) Full Text: DOI arXiv OpenURL
Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate Stochastic Runge-Kutta-Munthe-Kaas methods in the modelling of perturbed rigid bodies. (English) Zbl 07480227 Adv. Appl. Math. Mech. 14, No. 2, 528-538 (2022). MSC: 65C30 60H35 PDF BibTeX XML Cite \textit{M. Muniz} et al., Adv. Appl. Math. Mech. 14, No. 2, 528--538 (2022; Zbl 07480227) Full Text: DOI OpenURL
Niu, Cuixia; Ma, Heping A high-order accurate multidomain Legendre-Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves. (English) Zbl 1483.78006 Appl. Math. Lett. 128, Article ID 107906, 8 p. (2022). MSC: 78M22 78A25 78A40 65N35 65L06 44A15 42C10 35Q60 PDF BibTeX XML Cite \textit{C. Niu} and \textit{H. Ma}, Appl. Math. Lett. 128, Article ID 107906, 8 p. (2022; Zbl 1483.78006) Full Text: DOI OpenURL
Constantinescu, Emil M. Implicit extensions of an explicit multirate Runge-Kutta scheme. (English) Zbl 1483.65121 Appl. Math. Lett. 128, Article ID 107871, 7 p. (2022). MSC: 65L06 65L05 65M20 PDF BibTeX XML Cite \textit{E. M. Constantinescu}, Appl. Math. Lett. 128, Article ID 107871, 7 p. (2022; Zbl 1483.65121) Full Text: DOI arXiv OpenURL
Liu, Hailiang; Yin, Peimeng High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation. (English) Zbl 07474399 J. Comput. Appl. Math. 407, Article ID 114015, 16 p. (2022). MSC: 65N30 65L06 65N12 35K35 PDF BibTeX XML Cite \textit{H. Liu} and \textit{P. Yin}, J. Comput. Appl. Math. 407, Article ID 114015, 16 p. (2022; Zbl 07474399) Full Text: DOI OpenURL
Liu, Yong; Lu, Jianfang; Shu, Chi-Wang An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems. (English) Zbl 1484.65226 SIAM J. Sci. Comput. 44, No. 1, A230-A259 (2022). MSC: 65M60 65L06 65N30 35L03 35B05 76N10 35Q31 PDF BibTeX XML Cite \textit{Y. Liu} et al., SIAM J. Sci. Comput. 44, No. 1, A230--A259 (2022; Zbl 1484.65226) Full Text: DOI OpenURL
Engel, Maximilian; Kuehn, Christian; Petrera, Matteo; Suris, Yuri Discretized fast-slow systems with canards in two dimensions. (English) Zbl 1484.39016 J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022). Reviewer: Jörg Härterich (Bochum) MSC: 39A28 39A12 34E15 34E20 37M15 37M20 37M21 37G10 65L06 PDF BibTeX XML Cite \textit{M. Engel} et al., J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022; Zbl 1484.39016) Full Text: DOI arXiv OpenURL
Hofmann, S.; Borzì, A. A sequential quadratic Hamiltonian algorithm for training explicit RK neural networks. (English) Zbl 1480.49004 J. Comput. Appl. Math. 405, Article ID 113943, 17 p. (2022). MSC: 49J15 49K15 49M05 65K10 92B20 68T05 PDF BibTeX XML Cite \textit{S. Hofmann} and \textit{A. Borzì}, J. Comput. Appl. Math. 405, Article ID 113943, 17 p. (2022; Zbl 1480.49004) Full Text: DOI OpenURL
Israwi, Samer; Kalisch, Henrik; Katsaounis, Theodoros; Mitsotakis, Dimitrios A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis. (English) Zbl 1481.35331 Nonlinearity 35, No. 1, 750-786 (2022). MSC: 35Q35 76B15 35C08 35B65 35B45 35B40 65M60 65L06 65N30 65M12 65M15 PDF BibTeX XML Cite \textit{S. Israwi} et al., Nonlinearity 35, No. 1, 750--786 (2022; Zbl 1481.35331) Full Text: DOI arXiv OpenURL
Jiang, Chaolong; Cui, Jin; Qian, Xu; Song, Songhe High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation. (English) Zbl 1481.65134 J. Sci. Comput. 90, No. 1, Paper No. 66, 27 p. (2022). MSC: 65M06 65M70 65L06 35Q55 35Q41 PDF BibTeX XML Cite \textit{C. Jiang} et al., J. Sci. Comput. 90, No. 1, Paper No. 66, 27 p. (2022; Zbl 1481.65134) Full Text: DOI arXiv OpenURL
Luo, Dongmi; Li, Shiyi; Huang, Weizhang; Qiu, Jianxian; Chen, Yibing A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. II: ALE framework. (English) Zbl 1480.65266 J. Sci. Comput. 90, No. 1, Paper No. 46, 35 p. (2022). MSC: 65M60 65L06 65N30 65N50 35L65 76T10 76T30 76N15 PDF BibTeX XML Cite \textit{D. Luo} et al., J. Sci. Comput. 90, No. 1, Paper No. 46, 35 p. (2022; Zbl 1480.65266) Full Text: DOI arXiv OpenURL
Senu, Norazak; Ahmad, Nur Amirah; Othman, Mohamed; Ibrahim, Zarina Bibi Numerical study for periodical delay differential equations using Runge-Kutta with trigonometric interpolation. (English) Zbl 07453287 Comput. Appl. Math. 41, No. 1, Paper No. 25, 20 p. (2022). MSC: 65L05 65L06 PDF BibTeX XML Cite \textit{N. Senu} et al., Comput. Appl. Math. 41, No. 1, Paper No. 25, 20 p. (2022; Zbl 07453287) Full Text: DOI OpenURL
de la Hoz, Francisco; Kumar, Sandeep; Vega, Luis Vortex filament equation for a regular polygon in the hyperbolic plane. (English) Zbl 1483.35206 J. Nonlinear Sci. 32, No. 1, Paper No. 9, 34 p. (2022). MSC: 35Q55 28A80 65M06 65M20 65N06 65L06 PDF BibTeX XML Cite \textit{F. de la Hoz} et al., J. Nonlinear Sci. 32, No. 1, Paper No. 9, 34 p. (2022; Zbl 1483.35206) Full Text: DOI arXiv OpenURL
Ramos, Higinio; Rufai, Mufutau Ajani A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems. (English) Zbl 1481.65111 J. Comput. Appl. Math. 404, Article ID 113419, 21 p. (2022). MSC: 65L10 65L06 PDF BibTeX XML Cite \textit{H. Ramos} and \textit{M. A. Rufai}, J. Comput. Appl. Math. 404, Article ID 113419, 21 p. (2022; Zbl 1481.65111) Full Text: DOI OpenURL
Zhou, Lingling; Xia, Yinhua Arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for linear convection-diffusion equations. (English) Zbl 07435365 J. Sci. Comput. 90, No. 1, Paper No. 21, 31 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{L. Zhou} and \textit{Y. Xia}, J. Sci. Comput. 90, No. 1, Paper No. 21, 31 p. (2022; Zbl 07435365) Full Text: DOI OpenURL
Li, Tingting; Lu, Jianfang; Shu, Chi-Wang Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations. (English) Zbl 1481.65145 J. Comput. Appl. Math. 400, Article ID 113711, 26 p. (2022). MSC: 65M06 65L06 65M20 65N25 65M12 35K10 PDF BibTeX XML Cite \textit{T. Li} et al., J. Comput. Appl. Math. 400, Article ID 113711, 26 p. (2022; Zbl 1481.65145) Full Text: DOI OpenURL
Fatunmbi, E. O.; Salawu, S. O.; Ajilore, J. O. Thermophoretic analysis and non-uniform heat source in hydromagnetic micropolar fluid flow passing an inclined sheet in a porous medium. (English) Zbl 07556645 J. Niger. Math. Soc. 40, No. 3, 301-320 (2021). MSC: 76A05 76W05 76S05 76M20 80A19 PDF BibTeX XML Cite \textit{E. O. Fatunmbi} et al., J. Niger. Math. Soc. 40, No. 3, 301--320 (2021; Zbl 07556645) Full Text: Link OpenURL
Murua, Ander From Runge-Kutta methods to Hopf algebras of rooted trees. (English) Zbl 07533225 Makhlouf, Abdenacer (ed.), Algebra and applications 2. Combinatorial algebra and Hopf algebras. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 179-219 (2021). MSC: 16T05 05E16 PDF BibTeX XML Cite \textit{A. Murua}, in: Algebra and applications 2. Combinatorial algebra and Hopf algebras. London: ISTE; Hoboken, NJ: John Wiley \& Sons. 179--219 (2021; Zbl 07533225) Full Text: DOI OpenURL
Huang, Bin; Xiao, Aiguo; Zhang, Gengen Implicit-explicit Runge-Kutta-Rosenbrock methods with error analysis for nonlinear stiff differential equations. (English) Zbl 07533069 J. Comput. Math. 39, No. 4, 599-620 (2021). MSC: 65L04 65L20 65L06 PDF BibTeX XML Cite \textit{B. Huang} et al., J. Comput. Math. 39, No. 4, 599--620 (2021; Zbl 07533069) Full Text: DOI OpenURL
Hong, Jialin; Huang, Chuying; Wang, Xu Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions. (English) Zbl 07528288 IMA J. Numer. Anal. 41, No. 2, 1608-1638 (2021). MSC: 65-XX PDF BibTeX XML Cite \textit{J. Hong} et al., IMA J. Numer. Anal. 41, No. 2, 1608--1638 (2021; Zbl 07528288) Full Text: DOI OpenURL
Radhakrishnamacharya, G.; Muthu, P.; Varunkumar, M. Mathematical model of fluid flow and solute transfer in a permeable channel with slip velocity at the boundaries. (English) Zbl 07525756 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 4, 611-622 (2021). MSC: 76D10 PDF BibTeX XML Cite \textit{G. Radhakrishnamacharya} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 4, 611--622 (2021; Zbl 07525756) Full Text: DOI OpenURL
Bochkarev, S. A. Natural vibrations of truncated conical shells of variable thickness. (English. Russian original) Zbl 07513578 J. Appl. Mech. Tech. Phys. 62, No. 7, 1222-1233 (2021); translation from Vychisl. Mekh. Splosh. Sred 13, No. 1, 402-413 (2020). MSC: 74H45 74K25 74S20 PDF BibTeX XML Cite \textit{S. A. Bochkarev}, J. Appl. Mech. Tech. Phys. 62, No. 7, 1222--1233 (2021; Zbl 07513578); translation from Vychisl. Mekh. Splosh. Sred 13, No. 1, 402--413 (2020) Full Text: DOI OpenURL
Makarova, M. A.; Malygina, A. S.; Pyshnograi, G. V.; Rudakov, G. O. Simulation of rheological properties of polyethylene melts under uniaxial tension. (English. Russian original) Zbl 07513564 J. Appl. Mech. Tech. Phys. 62, No. 7, 1063-1071 (2021); translation from Vychisl. Mekh. Splosh. Sred 13, No. 1, 73-82 (2020). MSC: 76A10 76M20 PDF BibTeX XML Cite \textit{M. A. Makarova} et al., J. Appl. Mech. Tech. Phys. 62, No. 7, 1063--1071 (2021; Zbl 07513564); translation from Vychisl. Mekh. Splosh. Sred 13, No. 1, 73--82 (2020) Full Text: DOI OpenURL
Mittal, R. C.; Goel, Rohit; Ahlawat, Neha An efficient numerical simulation of a reaction-diffusion malaria infection model using B-splines collocation. (English) Zbl 07512464 Chaos Solitons Fractals 143, Article ID 110566, 17 p. (2021). MSC: 92-XX 65-XX PDF BibTeX XML Cite \textit{R. C. Mittal} et al., Chaos Solitons Fractals 143, Article ID 110566, 17 p. (2021; Zbl 07512464) Full Text: DOI OpenURL
Ju, Lili; Li, Xiao; Qiao, Zhonghua; Yang, Jiang Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations. (English) Zbl 07512335 J. Comput. Phys. 439, Article ID 110405, 18 p. (2021). MSC: 65Mxx 35Kxx 35Qxx PDF BibTeX XML Cite \textit{L. Ju} et al., J. Comput. Phys. 439, Article ID 110405, 18 p. (2021; Zbl 07512335) Full Text: DOI OpenURL
Liu, Yun-Long; Shu, Chi-Wang; Zhang, A-Man Weighted ghost fluid discontinuous Galerkin method for two-medium problems. (English) Zbl 07510069 J. Comput. Phys. 426, Article ID 109956, 20 p. (2021). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{Y.-L. Liu} et al., J. Comput. Phys. 426, Article ID 109956, 20 p. (2021; Zbl 07510069) Full Text: DOI OpenURL
Sanderse, B.; Buist, J. F. H.; Henkes, R. A. W. M. A novel pressure-free two-fluid model for one-dimensional incompressible multiphase flow. (English) Zbl 07510045 J. Comput. Phys. 426, Article ID 109919, 18 p. (2021). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{B. Sanderse} et al., J. Comput. Phys. 426, Article ID 109919, 18 p. (2021; Zbl 07510045) Full Text: DOI OpenURL
Wu, Wenbin; Zhang, A-Man; Liu, Moubin A cell-centered indirect arbitrary-Lagrangian-Eulerian discontinuous Galerkin scheme on moving unstructured triangular meshes with topological adaptability. (English) Zbl 07505963 J. Comput. Phys. 438, Article ID 110368, 27 p. (2021). MSC: 65Mxx 76Mxx 76Nxx PDF BibTeX XML Cite \textit{W. Wu} et al., J. Comput. Phys. 438, Article ID 110368, 27 p. (2021; Zbl 07505963) Full Text: DOI OpenURL
Jaaffar, Nur Tasnem; Majid, Zanariah Abdul; Senu, Norazak Numerical computation of third order delay differential equations by using direct multistep method. (English) Zbl 1483.65113 Malays. J. Math. Sci. 15, No. 3, 369-385 (2021). MSC: 65L03 65L06 65L10 PDF BibTeX XML Cite \textit{N. T. Jaaffar} et al., Malays. J. Math. Sci. 15, No. 3, 369--385 (2021; Zbl 1483.65113) Full Text: Link OpenURL
Shallu; Kukreja, Vijay Kumar An efficient collocation algorithm with SSP-RK43 scheme to solve Rosenau-KdV-RLW equation. (English) Zbl 07490172 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 161, 18 p. (2021). MSC: 65Mxx 74-XX PDF BibTeX XML Cite \textit{Shallu} and \textit{V. K. Kukreja}, Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 161, 18 p. (2021; Zbl 07490172) Full Text: DOI OpenURL
Punith Gowda, R. J.; Jyothi, A. M.; Naveen Kumar, R.; Prasannakumara, B. C.; Sarris, I. E. Convective flow of second grade fluid over a curved stretching sheet with Dufour and Soret effects. (English) Zbl 1487.76006 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 226, 16 p. (2021). MSC: 76A05 76W05 76M20 80A19 PDF BibTeX XML Cite \textit{R. J. Punith Gowda} et al., Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 226, 16 p. (2021; Zbl 1487.76006) Full Text: DOI OpenURL
Joshi, Navneet; Upreti, Himanshu; Pandey, Alok Kumar; Kumar, Manoj Heat and mass transfer assessment of magnetic hybrid nanofluid flow via bidirectional porous surface with volumetric heat generation. (English) Zbl 07486500 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 64, 17 p. (2021). Reviewer: K. N. Shukla (Gurgaon) MSC: 76W05 76S05 76T20 76V05 76M20 80A19 PDF BibTeX XML Cite \textit{N. Joshi} et al., Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 64, 17 p. (2021; Zbl 07486500) Full Text: DOI OpenURL
Mandal, Iswar Chandra; Mukhopadhyay, Swati; Vajravelu, Kuppalapalle Melting heat transfer of MHD micropolar fluid flow past an exponentially stretching sheet with slip and thermal radiation. (English) Zbl 07486469 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 31, 18 p. (2021). MSC: 76W05 76T99 76A05 76M20 80A19 80A21 PDF BibTeX XML Cite \textit{I. C. Mandal} et al., Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 31, 18 p. (2021; Zbl 07486469) Full Text: DOI OpenURL
Ramachandramurthy, V.; Uma, D.; Kavitha, N. Linear and non-linear instability analysis of the onset of magnetoconvection in couplestress fluids with thermorheological effect. (English) Zbl 1483.76028 Mahanthesh, B. (ed.), Mathematical fluid mechanics. Advances in convective instabilities and incompressible fluid flow. Berlin: De Gruyter. De Gruyter Ser. Appl. Math. Eng. Inf. Sci. 7, 143-161 (2021). MSC: 76E25 76E06 76E30 76W05 76T20 76M20 80A19 PDF BibTeX XML Cite \textit{V. Ramachandramurthy} et al., De Gruyter Ser. Appl. Math. Eng. Inf. Sci. 7, 143--161 (2021; Zbl 1483.76028) Full Text: DOI OpenURL
Sun, Zheng; Shu, Chi-Wang Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. (English) Zbl 07479324 Commun. Appl. Math. Comput. 3, No. 4, 671-700 (2021). MSC: 65L06 65L20 65M12 65M20 PDF BibTeX XML Cite \textit{Z. Sun} and \textit{C.-W. Shu}, Commun. Appl. Math. Comput. 3, No. 4, 671--700 (2021; Zbl 07479324) Full Text: DOI arXiv OpenURL
Gupta, Ritu; Agarwal, Divya Cost analysis of \(N\)-policy vacation machine repair problem with optional repair. (English) Zbl 1482.90080 Int. J. Math. Oper. Res. 19, No. 3, 354-374 (2021). MSC: 90B25 90B22 65L06 PDF BibTeX XML Cite \textit{R. Gupta} and \textit{D. Agarwal}, Int. J. Math. Oper. Res. 19, No. 3, 354--374 (2021; Zbl 1482.90080) Full Text: DOI OpenURL
Xavier, Juliana C.; Rincon, Mauro A.; Alfaro Vigo, Daniel G. Error estimates for a fully discrete spectral scheme for nonlinear Boussinesq systems. (English) Zbl 07459673 Numer. Math. 149, No. 3, 679-716 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65L06 65N35 65M12 65M15 76B15 35Q35 35C08 PDF BibTeX XML Cite \textit{J. C. Xavier} et al., Numer. Math. 149, No. 3, 679--716 (2021; Zbl 07459673) Full Text: DOI OpenURL
Li, Shu-Jie Efficient steady flow computations with exponential multigrid methods. (English) Zbl 1486.65171 Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 10th international conference, NUMGRID 2020 / Delaunay 130, celebrating the 130th anniversary of Boris Delaunay, Moscow, Russia, November 25–27, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 143, 375-390 (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M60 65M06 65M50 65L06 65M12 65M15 65F10 65F08 PDF BibTeX XML Cite \textit{S.-J. Li}, Lect. Notes Comput. Sci. Eng. 143, 375--390 (2021; Zbl 1486.65171) Full Text: DOI OpenURL
Poullet, P.; Ramsamy, P.; Ricchiuto, M. Residual based method for sediment transport. (English) Zbl 1481.76148 Muñoz-Ruiz, María Luz (ed.) et al., Recent advances in numerical methods for hyperbolic PDE systems. NumHyp 2019. Selected papers based on the presentations at the 6th international conference on numerical methods for hyperbolic problems, Málaga, Spain, June 17–21, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 28, 193-206 (2021). MSC: 76M12 76T20 76B10 86A05 PDF BibTeX XML Cite \textit{P. Poullet} et al., SEMA SIMAI Springer Ser. 28, 193--206 (2021; Zbl 1481.76148) Full Text: DOI OpenURL
Michel-Dansac, Victor; Thomann, Andrea On high-precision \(L^\infty \)-stable IMEX schemes for scalar hyperbolic multi-scale equations. (English) Zbl 1482.65150 Muñoz-Ruiz, María Luz (ed.) et al., Recent advances in numerical methods for hyperbolic PDE systems. NumHyp 2019. Selected papers based on the presentations at the 6th international conference on numerical methods for hyperbolic problems, Málaga, Spain, June 17–21, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 28, 79-94 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65N06 65M20 65M12 65L06 35B45 PDF BibTeX XML Cite \textit{V. Michel-Dansac} and \textit{A. Thomann}, SEMA SIMAI Springer Ser. 28, 79--94 (2021; Zbl 1482.65150) Full Text: DOI OpenURL
Liu, Dongbing; Wang, Yong; Lin, Zongbing A class of linear multistep formula of differential quadrature method. (Chinese. English summary) Zbl 07448832 Math. Pract. Theory 51, No. 15, 256-263 (2021). MSC: 65L06 65L20 PDF BibTeX XML Cite \textit{D. Liu} et al., Math. Pract. Theory 51, No. 15, 256--263 (2021; Zbl 07448832) OpenURL
Wang, Haiyun; Yuan, An’an; Zhu, Hongqiang An \(hp\)-adaptive RKDG algorithm using troubled-cell indicators. (Chinese. English summary) Zbl 07448702 J. Yangzhou Univ., Nat. Sci. Ed. 24, No. 1, 11-15, 29 (2021). MSC: 65M60 65M50 65L05 65N30 35L65 PDF BibTeX XML Cite \textit{H. Wang} et al., J. Yangzhou Univ., Nat. Sci. Ed. 24, No. 1, 11--15, 29 (2021; Zbl 07448702) Full Text: DOI OpenURL
Chen, Jian’en; Zhang, Wei; Liu, Jun; Hu, Wenhua Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations. (English) Zbl 1480.74102 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 8, 1135-1154 (2021). MSC: 74H45 74K05 74H15 70K40 PDF BibTeX XML Cite \textit{J. Chen} et al., AMM, Appl. Math. Mech., Engl. Ed. 42, No. 8, 1135--1154 (2021; Zbl 1480.74102) Full Text: DOI OpenURL
Ben Amma, Bouchra; Melliani, Said; Chadli, Lalla Saadia Numerical solution of intuitionistic fuzzy differential equations by Runge-Kutta Verner method. (English) Zbl 07438699 Melliani, Said (ed.) et al., Recent advances in intuitionistic fuzzy logic systems and mathematics. Selected papers based on the presentations at the 6th international congress of the Moroccan Society of Applied Mathematics, Beni Mellal, Morocco, November 7–9, 2019. Cham: Springer. Stud. Fuzziness Soft Comput. 395, 53-69 (2021). MSC: 68-XX PDF BibTeX XML Cite \textit{B. Ben Amma} et al., Stud. Fuzziness Soft Comput. 395, 53--69 (2021; Zbl 07438699) Full Text: DOI OpenURL
Xin, Xuan; Ma, Qiang; Ding, Xiaohua The parallel waveform relaxation stochastic Runge-Kutta method for stochastic differential equations. (English) Zbl 07435222 J. Appl. Math. Comput. 66, No. 1-2, 439-463 (2021). MSC: 65C30 60H10 PDF BibTeX XML Cite \textit{X. Xin} et al., J. Appl. Math. Comput. 66, No. 1--2, 439--463 (2021; Zbl 07435222) Full Text: DOI OpenURL
Singh, Maneesh Kumar; Singh, Gautam; Natesan, Srinivasan A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature. (English) Zbl 1475.65053 J. Appl. Math. Comput. 66, No. 1-2, 221-243 (2021). MSC: 65L06 65L10 65L11 65L12 65L20 PDF BibTeX XML Cite \textit{M. K. Singh} et al., J. Appl. Math. Comput. 66, No. 1--2, 221--243 (2021; Zbl 1475.65053) Full Text: DOI OpenURL
Ahmat, Muyassar; Qiu, Jianxian Compact ETDRK scheme for nonlinear dispersive wave equations. (English) Zbl 1476.65234 Comput. Appl. Math. 40, No. 8, Paper No. 286, 18 p. (2021). MSC: 65M60 35L65 PDF BibTeX XML Cite \textit{M. Ahmat} and \textit{J. Qiu}, Comput. Appl. Math. 40, No. 8, Paper No. 286, 18 p. (2021; Zbl 1476.65234) Full Text: DOI OpenURL
Hartmann, Stefan; Gilbert, Rose Rogin Material parameter identification using finite elements with time-adaptive higher-order time integration and experimental full-field strain information. (English) Zbl 1481.74371 Comput. Mech. 68, No. 3, 633-650 (2021). MSC: 74H75 74S05 74S20 74D10 PDF BibTeX XML Cite \textit{S. Hartmann} and \textit{R. R. Gilbert}, Comput. Mech. 68, No. 3, 633--650 (2021; Zbl 1481.74371) Full Text: DOI OpenURL
Wu, Shuonan; Zhou, Zhi A parallel-in-time algorithm for high-order BDF methods for diffusion and subdiffusion equations. (English) Zbl 07427874 SIAM J. Sci. Comput. 43, No. 6, A3627-A3656 (2021). MSC: 65M20 65L06 65M12 65M15 65M60 65Y05 PDF BibTeX XML Cite \textit{S. Wu} and \textit{Z. Zhou}, SIAM J. Sci. Comput. 43, No. 6, A3627--A3656 (2021; Zbl 07427874) Full Text: DOI arXiv OpenURL
Daneshyar, Alireza; Sotoudeh, Payam; Ghaemian, Mohsen A shooting approach to the scaled boundary finite element equations of elastodynamics in the frequency domain. (English) Zbl 07427405 Comput. Methods Appl. Mech. Eng. 387, Article ID 114170, 27 p. (2021). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{A. Daneshyar} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114170, 27 p. (2021; Zbl 07427405) Full Text: DOI OpenURL
Mehmood, Mehwish; Hamid, Muhammad; Ashraf, Shumaila; Tian, Zhenfu Galerkin time discretization for transmission dynamics of HBV with non-linear saturated incidence rate. (English) Zbl 07425996 Appl. Math. Comput. 410, Article ID 126481, 18 p. (2021). MSC: 92Dxx 34Kxx 34Dxx PDF BibTeX XML Cite \textit{M. Mehmood} et al., Appl. Math. Comput. 410, Article ID 126481, 18 p. (2021; Zbl 07425996) Full Text: DOI OpenURL
saqib, Muhammad; Akram, Muhammad; Bashir, Shahida; Allahviranloo, Tofigh A Runge-Kutta numerical method to approximate the solution of bipolar fuzzy initial value problems. (English) Zbl 1476.65138 Comput. Appl. Math. 40, No. 4, Paper No. 151, 43 p. (2021). MSC: 65L06 34A07 65L05 65L20 PDF BibTeX XML Cite \textit{M. saqib} et al., Comput. Appl. Math. 40, No. 4, Paper No. 151, 43 p. (2021; Zbl 1476.65138) Full Text: DOI OpenURL
Ren, Quanwei; Tian, Hongjiong; Tian, Tianhai Deterministic implicit two-step Milstein methods for stochastic differential equations. (English) Zbl 07425321 Stat. Probab. Lett. 179, Article ID 109208, 11 p. (2021). MSC: 60H35 60H10 65C30 65L06 PDF BibTeX XML Cite \textit{Q. Ren} et al., Stat. Probab. Lett. 179, Article ID 109208, 11 p. (2021; Zbl 07425321) Full Text: DOI OpenURL
Shahmoradi, M.; Ahmadian, D.; Ranjbar, M. Mean-square stability of 1.5 strong convergence orders of diagonally drift Runge-Kutta methods for a class of stochastic differential equations. (English) Zbl 1476.60072 Comput. Appl. Math. 40, No. 4, Paper No. 108, 17 p. (2021). MSC: 60G05 60G52 60G10 60G51 PDF BibTeX XML Cite \textit{M. Shahmoradi} et al., Comput. Appl. Math. 40, No. 4, Paper No. 108, 17 p. (2021; Zbl 1476.60072) Full Text: DOI OpenURL
Li, Shu-Cun; Tang, Huazhong Three discontinuous Galerkin methods for one- and two-dimensional nonlinear Dirac equations with a scalar self-interaction. (English) Zbl 1473.65206 Commun. Comput. Phys. 30, No. 4, 1150-1184 (2021). MSC: 65M60 35L05 81Q05 81-08 PDF BibTeX XML Cite \textit{S.-C. Li} and \textit{H. Tang}, Commun. Comput. Phys. 30, No. 4, 1150--1184 (2021; Zbl 1473.65206) Full Text: DOI arXiv OpenURL
Dendumrongsup, Nutchapol; Tartakovsky, Daniel M. Exponential time differencing for problems without natural stiffness separation. (English) Zbl 1473.65157 Comput. Geosci. 25, No. 5, 1667-1679 (2021). MSC: 65M20 65L06 76S05 PDF BibTeX XML Cite \textit{N. Dendumrongsup} and \textit{D. M. Tartakovsky}, Comput. Geosci. 25, No. 5, 1667--1679 (2021; Zbl 1473.65157) Full Text: DOI OpenURL
Vela-Martín, Alberto; Avila, Marc Deformation of drops by outer eddies in turbulence. (English) Zbl 07419983 J. Fluid Mech. 929, Paper No. A38, 22 p. (2021). MSC: 76T10 76F05 76D05 76F65 76M20 76M22 PDF BibTeX XML Cite \textit{A. Vela-Martín} and \textit{M. Avila}, J. Fluid Mech. 929, Paper No. A38, 22 p. (2021; Zbl 07419983) Full Text: DOI arXiv OpenURL
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on tetrahedral meshes. (English) Zbl 1474.65379 Commun. Comput. Phys. 29, No. 4, 1030-1058 (2021). MSC: 65M60 65M99 35L65 PDF BibTeX XML Cite \textit{J. Zhu} et al., Commun. Comput. Phys. 29, No. 4, 1030--1058 (2021; Zbl 1474.65379) Full Text: DOI OpenURL