Derakhshan, Mohammadhossein; Aminataei, Azim New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme. (English) Zbl 07739672 J. Difference Equ. Appl. 29, No. 6, 640-656 (2023). MSC: 65L05 65M06 35D05 65P20 65P40 PDF BibTeX XML Cite \textit{M. Derakhshan} and \textit{A. Aminataei}, J. Difference Equ. Appl. 29, No. 6, 640--656 (2023; Zbl 07739672) Full Text: DOI
Uzunca, Murat; Karasözen, Bülent Reduced-order modeling for Ablowitz-Ladik equation. (English) Zbl 07736745 Math. Comput. Simul. 213, 261-273 (2023). MSC: 65M06 65P10 37J05 37M15 76B15 PDF BibTeX XML Cite \textit{M. Uzunca} and \textit{B. Karasözen}, Math. Comput. Simul. 213, 261--273 (2023; Zbl 07736745) Full Text: DOI arXiv
Cartee, Elliot; Farah, Antonio; Nellis, April; Van Hook, Jacob; Vladimirsky, Alexander Quantifying and managing uncertainty in piecewise-deterministic Markov processes. (English) Zbl 07733138 SIAM/ASA J. Uncertain. Quantif. 11, 814-847 (2023). MSC: 60J27 49L20 35F21 35F61 60K40 65M06 65C40 PDF BibTeX XML Cite \textit{E. Cartee} et al., SIAM/ASA J. Uncertain. Quantif. 11, 814--847 (2023; Zbl 07733138) Full Text: DOI arXiv
Zhu, Ling-Yun; Yang, Wen-Ju; Gou, Xiang-Feng; Li, Zheng-Fa Dynamic characteristics of spur gear pair considering meshing impact and multi-state meshing. (English) Zbl 07726823 Meccanica 58, No. 4, 619-642 (2023). MSC: 74H99 74M20 74M15 74M10 74S20 70E55 PDF BibTeX XML Cite \textit{L.-Y. Zhu} et al., Meccanica 58, No. 4, 619--642 (2023; Zbl 07726823) Full Text: DOI
Conte, Dajana; Frasca-Caccia, Gianluca Exponentially fitted methods with a local energy conservation law. (English) Zbl 07723890 Adv. Comput. Math. 49, No. 4, Paper No. 49, 22 p. (2023). MSC: 65M20 65M06 65P10 PDF BibTeX XML Cite \textit{D. Conte} and \textit{G. Frasca-Caccia}, Adv. Comput. Math. 49, No. 4, Paper No. 49, 22 p. (2023; Zbl 07723890) Full Text: DOI arXiv
Coclite, Giuseppe Maria; De Tommasi, Domenico; Maddalena, Francesco; Romano, Marzia; Trentadue, Francesco Nonlinear energy localisation in a model of plane metamaterial. (English) Zbl 07722021 Nonlinear Dyn. 111, No. 13, 11885-11909 (2023). MSC: 74A70 74B20 70G70 35Q70 74S20 PDF BibTeX XML Cite \textit{G. M. Coclite} et al., Nonlinear Dyn. 111, No. 13, 11885--11909 (2023; Zbl 07722021) Full Text: DOI
Ebrahimi, Farzaneh; Abedi, Mostafa; Rahdan, Ali A robust three-stage central difference Kalman filter for nonlinear discrete-time systems considering faults and unknown inputs. (English) Zbl 07716523 Int. J. Control 96, No. 7, 1867-1884 (2023). MSC: 93E11 93C55 93C10 PDF BibTeX XML Cite \textit{F. Ebrahimi} et al., Int. J. Control 96, No. 7, 1867--1884 (2023; Zbl 07716523) Full Text: DOI
Yu, Xiao; Liu, Ming; Zheng, Zhaowen; Hu, Dongpo Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates. (English) Zbl 07713195 Int. J. Biomath. 16, No. 8, Article ID 2250131, 45 p. (2023). MSC: 37N25 37G10 39A28 92D30 PDF BibTeX XML Cite \textit{X. Yu} et al., Int. J. Biomath. 16, No. 8, Article ID 2250131, 45 p. (2023; Zbl 07713195) Full Text: DOI
Giesl, Peter; Hafstein, Sigurdur; Haraldsdottir, Magnea; Thorsteinsson, David; Kawan, Christoph Subgradient algorithm for computing contraction metrics for equilibria. (English) Zbl 07708233 J. Comput. Dyn. 10, No. 2, 281-303 (2023). MSC: 37M22 65P40 93D05 37C75 39A30 34D20 PDF BibTeX XML Cite \textit{P. Giesl} et al., J. Comput. Dyn. 10, No. 2, 281--303 (2023; Zbl 07708233) Full Text: DOI
Isojima, Shin; Suzuki, Seiichiro Ultradiscrete hard-spring equation and its phase plane analysis. (English) Zbl 07703462 Japan J. Ind. Appl. Math. 40, No. 2, 1083-1105 (2023). MSC: 37M15 37B15 39A23 34C15 PDF BibTeX XML Cite \textit{S. Isojima} and \textit{S. Suzuki}, Japan J. Ind. Appl. Math. 40, No. 2, 1083--1105 (2023; Zbl 07703462) Full Text: DOI
Son, Nguyen Khoa; Hieu, Le Trung; Tinh, Cao Thanh; Thuan, Do Duc New criteria for exponential stability of a class of nonlinear continuous-time difference systems with delays. (English) Zbl 07702671 Int. J. Control 96, No. 6, 1650-1660 (2023). MSC: 93D23 93C10 93C28 93C43 39A30 PDF BibTeX XML Cite \textit{N. K. Son} et al., Int. J. Control 96, No. 6, 1650--1660 (2023; Zbl 07702671) Full Text: DOI
Mehta, Akansha; Singh, Gurjinder; Ramos, Higinio Numerical solution of time dependent nonlinear partial differential equations using a novel block method coupled with compact finite difference schemes. (English) Zbl 07700508 Comput. Appl. Math. 42, No. 4, Paper No. 201, 25 p. (2023). MSC: 65M06 65N35 35F50 PDF BibTeX XML Cite \textit{A. Mehta} et al., Comput. Appl. Math. 42, No. 4, Paper No. 201, 25 p. (2023; Zbl 07700508) Full Text: DOI
Igonin, S.; Konstantinou-Rizos, S. Local Yang-Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 1516.37076 J. Phys. A, Math. Theor. 56, No. 27, Article ID 275202, 18 p. (2023). MSC: 37J70 37K35 39A36 35Q55 16T25 PDF BibTeX XML Cite \textit{S. Igonin} and \textit{S. Konstantinou-Rizos}, J. Phys. A, Math. Theor. 56, No. 27, Article ID 275202, 18 p. (2023; Zbl 1516.37076) Full Text: DOI arXiv
Wang, Lan; Kong, Linghua; Chen, Meng; Zhu, Pengfei; Guo, Huacheng Structure-preserving combined high-order compact schemes for multiple order spatial derivatives differential equations. (English) Zbl 07698879 J. Sci. Comput. 96, No. 1, Paper No. 8, 21 p. (2023). MSC: 65M06 65N06 65P10 65M12 65Z05 35Q55 35Q41 PDF BibTeX XML Cite \textit{L. Wang} et al., J. Sci. Comput. 96, No. 1, Paper No. 8, 21 p. (2023; Zbl 07698879) Full Text: DOI
Shahsavari, Samira; Ketabchi, Saeed Applications of the proximal difference-of-convex algorithm with extrapolation in optimal correction. (English) Zbl 07695067 J. Math. Model. 11, No. 1, 35-54 (2023). MSC: 90C26 90C32 90C25 34A34 15A39 PDF BibTeX XML Cite \textit{S. Shahsavari} and \textit{S. Ketabchi}, J. Math. Model. 11, No. 1, 35--54 (2023; Zbl 07695067) Full Text: DOI
Ahmed, Shady E.; San, Omer; Rasheed, Adil; Iliescu, Traian; Veneziani, Alessandro Physics guided machine learning for variational multiscale reduced order modeling. (English) Zbl 07693354 SIAM J. Sci. Comput. 45, No. 3, B283-B313 (2023). MSC: 68T05 62M10 62M20 62M45 65M06 76M30 76F20 PDF BibTeX XML Cite \textit{S. E. Ahmed} et al., SIAM J. Sci. Comput. 45, No. 3, B283--B313 (2023; Zbl 07693354) Full Text: DOI arXiv
Thi-Thao-Phuong Hoang; Pop, Iuliu Sorin Iterative methods with nonconforming time grids for nonlinear flow problems in porous media. (English) Zbl 1516.65082 Acta Math. Vietnam. 48, No. 1, 29-49 (2023). MSC: 65M55 65M60 65M06 65N30 65H10 65F10 65Y05 65M50 76S05 35K55 35Q35 PDF BibTeX XML Cite \textit{Thi-Thao-Phuong Hoang} and \textit{I. S. Pop}, Acta Math. Vietnam. 48, No. 1, 29--49 (2023; Zbl 1516.65082) Full Text: DOI
Babajanov, B. A.; Azamatov, A. Sh. Integration of the Kaup-Boussinesq type system with a self-consistent source via inverse scattering method. (English) Zbl 07686317 Uzb. Math. J. 67, No. 1, 15-23 (2023). MSC: 34K08 39A70 37K15 PDF BibTeX XML Cite \textit{B. A. Babajanov} and \textit{A. Sh. Azamatov}, Uzb. Math. J. 67, No. 1, 15--23 (2023; Zbl 07686317) Full Text: DOI
Bakhti, H.; Gasser, I.; Schuster, S.; Parfenov, E. Modelling, simulation and optimisation of parabolic trough power plants. (English) Zbl 1514.35343 Eur. J. Appl. Math. 34, No. 3, 592-615 (2023). MSC: 35Q35 35Q79 76R99 80A19 80A21 80A22 35C20 35F50 76M20 76M45 76-10 80-10 PDF BibTeX XML Cite \textit{H. Bakhti} et al., Eur. J. Appl. Math. 34, No. 3, 592--615 (2023; Zbl 1514.35343) Full Text: DOI
Konstantinou-Rizos, S. Birational solutions to the set-theoretical 4-simplex equation. (English) Zbl 07683343 Physica D 448, Article ID 133696, 15 p. (2023). MSC: 39A36 16T25 35Q55 37K35 PDF BibTeX XML Cite \textit{S. Konstantinou-Rizos}, Physica D 448, Article ID 133696, 15 p. (2023; Zbl 07683343) Full Text: DOI arXiv
Zhang, Gengen; Jiang, Chaolong; Huang, Hao Arbitrarily high-order energy-preserving schemes for the Zakharov-Rubenchik equations. (English) Zbl 1512.65187 J. Sci. Comput. 94, No. 2, Paper No. 32, 27 p. (2023). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65M70 65N35 65L06 65P10 47H10 35Q55 PDF BibTeX XML Cite \textit{G. Zhang} et al., J. Sci. Comput. 94, No. 2, Paper No. 32, 27 p. (2023; Zbl 1512.65187) Full Text: DOI arXiv
Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation. (English) Zbl 1514.35352 Adv. Comput. Math. 49, No. 2, Paper No. 22, 27 p. (2023). MSC: 35Q35 76D05 76E30 65M70 65M06 65N35 65N99 65F20 76M22 76M20 35R01 PDF BibTeX XML Cite \textit{M. W. Hess} et al., Adv. Comput. Math. 49, No. 2, Paper No. 22, 27 p. (2023; Zbl 1514.35352) Full Text: DOI arXiv
Cordero-Carrión, Isabel; Santos-Pérez, Samuel; Martínez-Vidallach, Clara Numerical evolution of the resistive relativistic magnetohydrodynamic equations: a minimally implicit Runge-Kutta scheme. (English) Zbl 1511.35087 Appl. Math. Comput. 443, Article ID 127774, 14 p. (2023). MSC: 35F50 35L60 35Q35 35Q75 65M06 65M12 76W05 76Y05 PDF BibTeX XML Cite \textit{I. Cordero-Carrión} et al., Appl. Math. Comput. 443, Article ID 127774, 14 p. (2023; Zbl 1511.35087) Full Text: DOI
Guo, Shimin; Mei, Liquan; Yan, Wenjing; Li, Ying Mass-, energy-, and momentum-preserving spectral scheme for Klein-Gordon-Schrödinger system on infinite domains. (English) Zbl 07676555 SIAM J. Sci. Comput. 45, No. 2, B200-B230 (2023). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M70 65M06 65N35 65H10 35C08 35M33 65Z05 35Q55 PDF BibTeX XML Cite \textit{S. Guo} et al., SIAM J. Sci. Comput. 45, No. 2, B200--B230 (2023; Zbl 07676555) Full Text: DOI
Wen, Xian; Yu, Xuhong; Wang, Zhongqing A Legendre dual-Petrov-Galerkin spectral element method for the Kawahara-type equations. (English) Zbl 1511.65111 Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3349-3372 (2023). MSC: 65M70 65M60 65M06 65N35 65N30 76B25 76B15 37K06 35C08 42C10 46E35 35Q35 35Q53 PDF BibTeX XML Cite \textit{X. Wen} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3349--3372 (2023; Zbl 1511.65111) Full Text: DOI
Levi, Mark; Zhou, Jing Arnold tongues in area-preserving maps. (English) Zbl 1512.70031 Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 32, 18 p. (2023). MSC: 70K42 70K60 35Q70 39A23 PDF BibTeX XML Cite \textit{M. Levi} and \textit{J. Zhou}, Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 32, 18 p. (2023; Zbl 1512.70031) Full Text: DOI arXiv
Mohanty, R. K.; Sharma, Divya A new 2-level compact off-step implicit method in exponential form for the solution of fourth order nonlinear parabolic equations. (English) Zbl 1512.65181 J. Math. Chem. 61, No. 5, 1165-1204 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65N06 65M12 65M22 35K55 35K52 35Q92 35Q53 PDF BibTeX XML Cite \textit{R. K. Mohanty} and \textit{D. Sharma}, J. Math. Chem. 61, No. 5, 1165--1204 (2023; Zbl 1512.65181) Full Text: DOI
Gander, Martin J.; Lunowa, Stephan B.; Rohde, Christian Non-overlapping Schwarz waveform-relaxation for nonlinear advection-diffusion equations. (English) Zbl 1516.65081 SIAM J. Sci. Comput. 45, No. 1, A49-A73 (2023). MSC: 65M55 65M08 65M06 65N08 65H10 65M12 35A01 35A02 35K55 35L65 76S05 35Q35 PDF BibTeX XML Cite \textit{M. J. Gander} et al., SIAM J. Sci. Comput. 45, No. 1, A49--A73 (2023; Zbl 1516.65081) Full Text: DOI
Li, Xiaowu; Tang, Yuelong Interpolated coefficient characteristic finite element method for semilinear convection-diffusion optimal control problems. (English) Zbl 1509.65100 Results Appl. Math. 17, Article ID 100357, 10 p. (2023). MSC: 65M60 65M25 65M06 65N30 65D05 65H10 49M25 35K55 35J60 35J61 76R50 PDF BibTeX XML Cite \textit{X. Li} and \textit{Y. Tang}, Results Appl. Math. 17, Article ID 100357, 10 p. (2023; Zbl 1509.65100) Full Text: DOI
Neelan, A. Arun Govind; Chandran, R. Jishnu; Diaz, Manuel A.; Bürger, Raimund An efficient three-level weighted essentially non-oscillatory scheme for hyperbolic equations. (English) Zbl 1509.65084 Comput. Appl. Math. 42, No. 2, Paper No. 70, 23 p. (2023). MSC: 65M08 65M06 65N08 65L06 65M12 35F61 35L50 76N15 76J20 76L05 76Q05 35Q31 PDF BibTeX XML Cite \textit{A. A. G. Neelan} et al., Comput. Appl. Math. 42, No. 2, Paper No. 70, 23 p. (2023; Zbl 1509.65084) Full Text: DOI
Chen, Hanshu; Zhao, Jian; Meng, Zeng; Chen, Guohai; Yang, Dixiong Stochastic dynamic analysis of nonlinear MDOF systems with chaotic motion under combined additive and multiplicative excitation. (English) Zbl 1515.60246 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107034, 23 p. (2023). MSC: 60H30 70L05 34A08 37D10 37H10 PDF BibTeX XML Cite \textit{H. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107034, 23 p. (2023; Zbl 1515.60246) Full Text: DOI
Jannelli, Alessandra; Manganaro, Natale; Rizzo, Alessandra Riemann problems for the nonhomogeneous Aw-Rascle model. (English) Zbl 1509.35157 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107010, 13 p. (2023). MSC: 35L60 35L45 76A30 90B20 PDF BibTeX XML Cite \textit{A. Jannelli} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107010, 13 p. (2023; Zbl 1509.35157) Full Text: DOI
Shen, Mingxuan; Fei, Chen Exponential stabilisation of highly nonlinear neutral stochastic systems by variable-delay feedback control. (English) Zbl 07650609 Adv. Contin. Discrete Models 2023, Paper No. 9, 16 p. (2023). MSC: 39-XX 34-XX PDF BibTeX XML Cite \textit{M. Shen} and \textit{C. Fei}, Adv. Contin. Discrete Models 2023, Paper No. 9, 16 p. (2023; Zbl 07650609) Full Text: DOI
Li, Qi; Zheng, Supei; Mei, Liquan Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model. (English) Zbl 1506.65171 Numer. Algorithms 92, No. 2, 1233-1259 (2023). MSC: 65M70 65M06 65N35 35K46 35K55 35R09 35Q35 82D60 PDF BibTeX XML Cite \textit{Q. Li} et al., Numer. Algorithms 92, No. 2, 1233--1259 (2023; Zbl 1506.65171) Full Text: DOI
Yang, Min; Chen, Guanggan The Poincaré maps of a slow-fast stochastic system. (English) Zbl 1509.37060 J. Differ. Equations 345, 130-160 (2023). MSC: 37H10 37D10 37C27 60D05 60H10 70K70 PDF BibTeX XML Cite \textit{M. Yang} and \textit{G. Chen}, J. Differ. Equations 345, 130--160 (2023; Zbl 1509.37060) Full Text: DOI
Wang, Shaoying; Wang, Zidong; Dong, Hongli; Chen, Yun Recursive state estimation for stochastic nonlinear non-Gaussian systems using energy-harvesting sensors: a quadratic estimation approach. (English) Zbl 1505.93261 Automatica 147, Article ID 110671, 10 p. (2023). MSC: 93E10 93C10 PDF BibTeX XML Cite \textit{S. Wang} et al., Automatica 147, Article ID 110671, 10 p. (2023; Zbl 1505.93261) Full Text: DOI
Gómez-Bueno, I.; Boscarino, S.; Castro, M. J.; Parés, C.; Russo, G. Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws. (English) Zbl 1506.65135 Appl. Numer. Math. 184, 18-48 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N06 65L06 76B15 76M12 76M20 PDF BibTeX XML Cite \textit{I. Gómez-Bueno} et al., Appl. Numer. Math. 184, 18--48 (2023; Zbl 1506.65135) Full Text: DOI arXiv
Ge, Zhihao; Lou, Hui Multiphysics finite element method for a nonlinear poroelasticity model with finite strain. (English) Zbl 1502.65119 Calcolo 60, No. 1, Paper No. 1, 35 p. (2023). MSC: 65M60 65M06 65N30 65M12 65H10 35D30 74F10 74L10 74B20 76S05 PDF BibTeX XML Cite \textit{Z. Ge} and \textit{H. Lou}, Calcolo 60, No. 1, Paper No. 1, 35 p. (2023; Zbl 1502.65119) Full Text: DOI
Lv, Yan; Wang, Wei Smoluchowski-Kramers approximation with state dependent damping and highly random oscillation. (English) Zbl 1505.34091 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 499-515 (2023). MSC: 34F05 34E15 37H10 60H10 34C15 PDF BibTeX XML Cite \textit{Y. Lv} and \textit{W. Wang}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 499--515 (2023; Zbl 1505.34091) Full Text: DOI
Zhou, Baoquan; Dai, Yucong Stationary distribution, extinction, density function and periodicity of an \(n\)-species competition system with infinite distributed delays and nonlinear perturbations. (English) Zbl 1506.37071 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 294-346 (2023). MSC: 37H10 37N25 60H10 35Q84 92B05 92D25 PDF BibTeX XML Cite \textit{B. Zhou} and \textit{Y. Dai}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 294--346 (2023; Zbl 1506.37071) Full Text: DOI
Yang, Huizi; Yang, Zhanwen; Liu, Shengqiang Numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR models. (English) Zbl 1502.65079 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 70-92 (2023). MSC: 65M06 65M12 65P40 92D30 92C60 92-08 35Q92 PDF BibTeX XML Cite \textit{H. Yang} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 70--92 (2023; Zbl 1502.65079) Full Text: DOI
Uzunca, Murat; Karasözen, Bülent; Aydın, Ayhan Global energy preserving model reduction for multi-symplectic PDEs. (English) Zbl 1510.35279 Appl. Math. Comput. 436, Article ID 127483, 21 p. (2023). MSC: 35Q53 35Q55 65M06 65P10 PDF BibTeX XML Cite \textit{M. Uzunca} et al., Appl. Math. Comput. 436, Article ID 127483, 21 p. (2023; Zbl 1510.35279) Full Text: DOI arXiv
Sun, Qingdong; Ren, Junchao Sliding mode preview tracking control of OSL nonlinear discrete-time systems. (English) Zbl 1510.93068 Circuits Syst. Signal Process. 41, No. 8, 4347-4369 (2022). MSC: 93B15 93C10 93C55 93B51 93B12 PDF BibTeX XML Cite \textit{Q. Sun} and \textit{J. Ren}, Circuits Syst. Signal Process. 41, No. 8, 4347--4369 (2022; Zbl 1510.93068) Full Text: DOI
Owolabi, Kolade M. Modelling and numerical synchronization of chaotic system with fractional-order operator. (English) Zbl 07678012 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 7-8, 1269-1287 (2022). MSC: 26A33 35K57 65L05 65M06 93C10 PDF BibTeX XML Cite \textit{K. M. Owolabi}, Int. J. Nonlinear Sci. Numer. Simul. 23, No. 7--8, 1269--1287 (2022; Zbl 07678012) Full Text: DOI
Shchukin, V. G.; Popov, V. N.; Shmagunov, O. A. Modeling of crystallization in a metal surface layer modified with nanoparticles under pulsed induction heating. (English. Russian original) Zbl 1509.80005 J. Appl. Mech. Tech. Phys. 63, No. 4, 574-583 (2022); translation from Prikl. Mekh. Tekh. Fiz. 63, No. 4, 27-38 (2022). MSC: 80A22 74F05 78A60 35K05 80M20 65F10 PDF BibTeX XML Cite \textit{V. G. Shchukin} et al., J. Appl. Mech. Tech. Phys. 63, No. 4, 574--583 (2022; Zbl 1509.80005); translation from Prikl. Mekh. Tekh. Fiz. 63, No. 4, 27--38 (2022) Full Text: DOI
Kappauf, Jonas; Bäuerle, Simon; Hetzler, Hartmut A combined FD-HB approximation method for steady-state vibrations in large dynamical systems with localised nonlinearities. (English) Zbl 1514.70026 Comput. Mech. 70, No. 6, 1241-1256 (2022). MSC: 70K40 70-08 PDF BibTeX XML Cite \textit{J. Kappauf} et al., Comput. Mech. 70, No. 6, 1241--1256 (2022; Zbl 1514.70026) Full Text: DOI
Heidarkhani, Shapour; Gharehgazlouei, Fariba; Avci, Mustafa A variational approach to discrete elliptic problems with a weight. (English) Zbl 1507.39006 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 5, 377-390 (2022). MSC: 39A27 39A12 35B38 PDF BibTeX XML Cite \textit{S. Heidarkhani} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 5, 377--390 (2022; Zbl 1507.39006) Full Text: Link
Shen, Yuan; Tian, Bo; Zhou, Tian-Yu; Gao, Xiao-Tian Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions. (English) Zbl 1508.35159 Chaos Solitons Fractals 164, Article ID 112460, 7 p. (2022). MSC: 35Q55 37K10 37K35 37K40 PDF BibTeX XML Cite \textit{Y. Shen} et al., Chaos Solitons Fractals 164, Article ID 112460, 7 p. (2022; Zbl 1508.35159) Full Text: DOI
Osman, Sheelan; Langlands, Trevor Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations. (English) Zbl 1503.65181 Fract. Calc. Appl. Anal. 25, No. 6, 2166-2192 (2022). MSC: 65M06 65M12 65M15 35R11 35K57 PDF BibTeX XML Cite \textit{S. Osman} and \textit{T. Langlands}, Fract. Calc. Appl. Anal. 25, No. 6, 2166--2192 (2022; Zbl 1503.65181) Full Text: DOI
Dimola, Nunzio; Coclite, Alessandro; Fanizza, Giuseppe; Politi, Tiziano Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics. (English) Zbl 07636106 Adv. Contin. Discrete Models 2022, Paper No. 60, 26 p. (2022). MSC: 74A70 74B20 70G70 35Q70 74S20 PDF BibTeX XML Cite \textit{N. Dimola} et al., Adv. Contin. Discrete Models 2022, Paper No. 60, 26 p. (2022; Zbl 07636106) Full Text: DOI arXiv
Pan, Deng; Lu, Runzhi State transition-based novel dynamic control algorithm for vehicle-following performance improvement. (State transition-based novel dynamic control algorithm for vehicle-following perfromance improvement.) (English) Zbl 1505.90036 Appl. Math. Modelling 110, 387-407 (2022). MSC: 90B20 93C10 93C40 PDF BibTeX XML Cite \textit{D. Pan} and \textit{R. Lu}, Appl. Math. Modelling 110, 387--407 (2022; Zbl 1505.90036) Full Text: DOI
Trung Hieu, Le; Huu anh Ngoc, Pham; Bao Tran, Thai; Dinh Huy, Nguyen Explicit criteria for exponential stability in mean square of stochastic difference systems with delays. (English) Zbl 1505.93215 IMA J. Math. Control Inf. 39, No. 4, 1143-1156 (2022). MSC: 93D23 93E03 39A50 93C10 93C43 PDF BibTeX XML Cite \textit{L. Trung Hieu} et al., IMA J. Math. Control Inf. 39, No. 4, 1143--1156 (2022; Zbl 1505.93215) Full Text: DOI
Adak, Dibyendu; Arrutselvi, M.; Natarajan, E.; Natarajan, S. On the implementation of virtual element method for nonlinear problems over polygonal meshes. (English) Zbl 1503.65214 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 59-91 (2022). MSC: 65M60 65M06 65N30 65H10 65D32 41A58 35J62 35K59 PDF BibTeX XML Cite \textit{D. Adak} et al., SEMA SIMAI Springer Ser. 31, 59--91 (2022; Zbl 1503.65214) Full Text: DOI
Jamilov, Uygun On the convex combination of Volterra operators. (English) Zbl 1509.37057 J. Convex Anal. 29, No. 4, 1065-1082 (2022). MSC: 37H10 37N25 47H40 92D25 PDF BibTeX XML Cite \textit{U. Jamilov}, J. Convex Anal. 29, No. 4, 1065--1082 (2022; Zbl 1509.37057) Full Text: Link
Aslani, H.; Khojasteh, Salkuyeh D.; Taghipour, M. A new iteration method for solving space fractional coupled nonlinear Schrödinger equations. (English) Zbl 1499.65369 Iran. J. Numer. Anal. Optim. 12, No. 3, 704-718 (2022). MSC: 65M06 65F10 35Q55 35R11 15B05 65M12 81Q05 81V99 PDF BibTeX XML Cite \textit{H. Aslani} et al., Iran. J. Numer. Anal. Optim. 12, No. 3, 704--718 (2022; Zbl 1499.65369) Full Text: DOI
Al Zohbi, Marya; El Hajj, Ahmad; Jazar, Mustapha Convergent semi-explicit scheme to a non-linear eikonal system. (English) Zbl 1502.65053 BIT 62, No. 4, 1841-1872 (2022). MSC: 65M06 65N06 65D05 65M12 35F21 35F50 35D40 35A23 PDF BibTeX XML Cite \textit{M. Al Zohbi} et al., BIT 62, No. 4, 1841--1872 (2022; Zbl 1502.65053) Full Text: DOI
Togueu Motcheyo, A. B.; Macías-Díaz, J. E. On the wave transmission in a discrete nonlinear left-handed electrical lattice. (English) Zbl 1508.78013 Waves Random Complex Media 32, No. 6, 2718-2728 (2022). MSC: 78A60 35Q55 35Q41 34L40 78A40 35A09 35C08 39A36 37K40 PDF BibTeX XML Cite \textit{A. B. Togueu Motcheyo} and \textit{J. E. Macías-Díaz}, Waves Random Complex Media 32, No. 6, 2718--2728 (2022; Zbl 1508.78013) Full Text: DOI
Chapwanya, Michael; Lubuma, Jean; Terefe, Yibeltal; Tsanou, Berge Analysis of war and conflict effect on the transmission dynamics of the tenth Ebola outbreak in the Democratic Republic of Congo. (English) Zbl 1503.92061 Bull. Math. Biol. 84, No. 12, Paper No. 136, 48 p. (2022). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 92D30 34A34 65L12 PDF BibTeX XML Cite \textit{M. Chapwanya} et al., Bull. Math. Biol. 84, No. 12, Paper No. 136, 48 p. (2022; Zbl 1503.92061) Full Text: DOI
Ablowitz, Mark J.; Been, Joel B.; Carr, Lincoln D. Fractional integrable and related discrete nonlinear Schrödinger equations. (English) Zbl 1515.81129 Phys. Lett., A 452, Article ID 128459, 8 p. (2022). MSC: 81Q80 35A25 60G22 35Q55 39A12 47E07 PDF BibTeX XML Cite \textit{M. J. Ablowitz} et al., Phys. Lett., A 452, Article ID 128459, 8 p. (2022; Zbl 1515.81129) Full Text: DOI arXiv
Liang, Xin; Guo, Zhen-Chen; Huang, Tsung-Ming; Li, Tiexiang; Lin, Wen-Wei Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media. (English) Zbl 1502.65180 IMA J. Numer. Anal. 42, No. 4, 3735-3770 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65N25 65N06 65F20 35B32 78A60 78M20 35Q60 PDF BibTeX XML Cite \textit{X. Liang} et al., IMA J. Numer. Anal. 42, No. 4, 3735--3770 (2022; Zbl 1502.65180) Full Text: DOI arXiv
Liu, Xiaoyi; Wang, Tingchun; Jin, Shilong; Xu, Qiaoqiao Two energy-preserving compact finite difference schemes for the nonlinear fourth-order wave equation. (English) Zbl 1513.65295 Commun. Appl. Math. Comput. 4, No. 4, 1509-1530 (2022). MSC: 65M06 65N35 65M12 65M15 65H10 65F05 PDF BibTeX XML Cite \textit{X. Liu} et al., Commun. Appl. Math. Comput. 4, No. 4, 1509--1530 (2022; Zbl 1513.65295) Full Text: DOI
Kaldmäe, Arvo Algebraic necessary and sufficient condition for difference flatness. (English) Zbl 1500.93064 Int. J. Control 95, No. 9, 2307-2314 (2022). MSC: 93C55 93B25 93C10 PDF BibTeX XML Cite \textit{A. Kaldmäe}, Int. J. Control 95, No. 9, 2307--2314 (2022; Zbl 1500.93064) Full Text: DOI
Reis, Gabriela L.; Araújo, Rodrigo F.; Torres, Leonardo A. B.; Palhares, Reinaldo M. Stabilization of rational nonlinear discrete-time systems by state feedback and static output feedback. (English) Zbl 1497.93178 Eur. J. Control 67, Article ID 100718, 13 p. (2022). MSC: 93D15 93C55 93C10 PDF BibTeX XML Cite \textit{G. L. Reis} et al., Eur. J. Control 67, Article ID 100718, 13 p. (2022; Zbl 1497.93178) Full Text: DOI
Song, Mingzhan; Song, Songhe; Zhang, Wei; Qian, Xu Stochastic global momentum-preserving schemes for two-dimensional stochastic partial differential equations. (English) Zbl 1495.65141 East Asian J. Appl. Math. 12, No. 4, 912-927 (2022). MSC: 65M06 35Q55 35R60 65P10 PDF BibTeX XML Cite \textit{M. Song} et al., East Asian J. Appl. Math. 12, No. 4, 912--927 (2022; Zbl 1495.65141) Full Text: DOI
Kfoury, Perla; Le Coz, Stefan; Tsai, Tai-Peng Analysis of stability and instability for standing waves of the double power one dimensional nonlinear Schrödinger equation. (English) Zbl 1497.35435 C. R., Math., Acad. Sci. Paris 360, 867-892 (2022). MSC: 35Q55 35Q41 35B35 35C08 37K40 37C45 65M06 65N06 PDF BibTeX XML Cite \textit{P. Kfoury} et al., C. R., Math., Acad. Sci. Paris 360, 867--892 (2022; Zbl 1497.35435) Full Text: DOI arXiv
Zhang, Bingyin; Fu, Hongfei; Liang, Xueting; Liu, Jun; Zhang, Jiansong An efficient second-order finite volume ADI method for nonlinear three-dimensional space-fractional reaction-diffusion equations. (English) Zbl 1513.65329 Adv. Appl. Math. Mech. 14, No. 6, 1400-1432 (2022). MSC: 65M08 65M06 65N08 65M12 65M15 26A33 35R11 65F10 PDF BibTeX XML Cite \textit{B. Zhang} et al., Adv. Appl. Math. Mech. 14, No. 6, 1400--1432 (2022; Zbl 1513.65329) Full Text: DOI
Fu, Yayun; Hu, Dongdong; Zhang, Gengen Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation. (English) Zbl 07585759 Comput. Math. Appl. 121, 102-114 (2022). MSC: 65P10 35Q55 65M06 65M12 65M70 PDF BibTeX XML Cite \textit{Y. Fu} et al., Comput. Math. Appl. 121, 102--114 (2022; Zbl 07585759) Full Text: DOI
Huang, Yao; Hao, Wenrui; Lin, Guang HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations. (English) Zbl 07585756 Comput. Math. Appl. 121, 62-73 (2022). MSC: 65H10 65N06 65-02 68T07 35K57 PDF BibTeX XML Cite \textit{Y. Huang} et al., Comput. Math. Appl. 121, 62--73 (2022; Zbl 07585756) Full Text: DOI
Zhu, Xingwen; He, Mingyan; Sun, Pengtao Comparative studies on mesh-free deep neural network approach versus finite element method for solving coupled nonlinear hyperbolic/wave equations. (English) Zbl 1513.65394 Int. J. Numer. Anal. Model. 19, No. 5, 603-629 (2022). MSC: 65M60 65M06 65N30 65K10 65M12 35L57 35L75 35L70 68Q32 68T07 76B25 35C08 35Q53 PDF BibTeX XML Cite \textit{X. Zhu} et al., Int. J. Numer. Anal. Model. 19, No. 5, 603--629 (2022; Zbl 1513.65394) Full Text: Link
Shokhanda, Rachana; Goswami, Pranay Solution of generalized fractional Burgers equation with a nonlinear term. (English) Zbl 07584753 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 235, 14 p. (2022). MSC: 35Rxx 34A34 65M06 26A33 PDF BibTeX XML Cite \textit{R. Shokhanda} and \textit{P. Goswami}, Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 235, 14 p. (2022; Zbl 07584753) Full Text: DOI
Kurganov, Alexander; Qu, Zhuolin; Wu, Tong Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system. (English) Zbl 1501.65050 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1327-1360 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M50 76M12 76B15 86-08 35L65 35L67 35Q35 PDF BibTeX XML Cite \textit{A. Kurganov} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1327--1360 (2022; Zbl 1501.65050) Full Text: DOI
Tamboli, Vahisht K.; Tandel, Priti V. Reduced differential transform method for the treatment of internal atmospheric waves phenomenon. (English) Zbl 1513.35028 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 174, 27 p. (2022). MSC: 35A22 35B30 35C10 35F40 35G25 39A14 PDF BibTeX XML Cite \textit{V. K. Tamboli} and \textit{P. V. Tandel}, Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 174, 27 p. (2022; Zbl 1513.35028) Full Text: DOI
Baturin, S. S. Hamiltonian preserving nonlinear optics. (English) Zbl 1496.65106 Physica D 439, Article ID 133394, 11 p. (2022). MSC: 65M06 65N06 65P10 65M75 37K10 37K60 78A60 PDF BibTeX XML Cite \textit{S. S. Baturin}, Physica D 439, Article ID 133394, 11 p. (2022; Zbl 1496.65106) Full Text: DOI arXiv
Abdolabadi, F.; Zakeri, A.; Amiraslani, A. A charge-preserving compact splitting method for solving the coupled stochastic nonlinear Schrödinger equations. (English) Zbl 1504.35462 Appl. Numer. Math. 181, 293-319 (2022). MSC: 35Q55 35Q41 65M06 65M12 65M15 65P10 60H15 35C08 35R60 PDF BibTeX XML Cite \textit{F. Abdolabadi} et al., Appl. Numer. Math. 181, 293--319 (2022; Zbl 1504.35462) Full Text: DOI
Zhang, Peng; Xiong, Tao High order implicit finite difference schemes with a semi-implicit WENO reconstruction for nonlinear degenerate parabolic equations. (English) Zbl 07568546 J. Comput. Phys. 467, Article ID 111442, 30 p. (2022). MSC: 65Mxx 65Lxx 35Kxx PDF BibTeX XML Cite \textit{P. Zhang} and \textit{T. Xiong}, J. Comput. Phys. 467, Article ID 111442, 30 p. (2022; Zbl 07568546) Full Text: DOI
Vashakidze, Zurab On the convergence of a three-layer semi-discrete scheme for the nonlinear dynamic Kirchhoff string equation. (English) Zbl 1492.65069 Georgian Math. J. 29, No. 4, 615-627 (2022). MSC: 65F05 65F50 65L20 65L60 65M06 65M22 65M70 74H15 74K05 74S20 74S25 PDF BibTeX XML Cite \textit{Z. Vashakidze}, Georgian Math. J. 29, No. 4, 615--627 (2022; Zbl 1492.65069) Full Text: DOI
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: 65P10 35Q55 65M06 65M12 65M70 PDF BibTeX XML Cite \textit{Y. Fu} and \textit{Z. Xu}, Comput. Math. Appl. 119, 141--148 (2022; Zbl 07566246) Full Text: DOI
Bo, Yonghui; Wang, Yushun; Cai, Wenjun Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs. (English) Zbl 1496.65235 Numer. Algorithms 90, No. 4, 1519-1546 (2022). MSC: 65P10 35Q55 65L06 65M06 PDF BibTeX XML Cite \textit{Y. Bo} et al., Numer. Algorithms 90, No. 4, 1519--1546 (2022; Zbl 1496.65235) Full Text: DOI arXiv
Chevyrev, Ilya; Friz, Peter; Korepanov, Alexey; Melbourne, Ian; Zhang, Huilin Deterministic homogenization under optimal moment assumptions for fast-slow systems. II. (English) Zbl 1502.37040 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1328-1350 (2022). Reviewer: Anhui Gu (Chongqing) MSC: 37D25 37A50 37H10 39A50 60F17 60H10 60G42 70K70 PDF BibTeX XML Cite \textit{I. Chevyrev} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1328--1350 (2022; Zbl 1502.37040) Full Text: DOI arXiv
Korepanov, Alexey; Kosloff, Zemer; Melbourne, Ian Deterministic homogenization under optimal moment assumptions for fast-slow systems. I. (English) Zbl 1502.37041 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1305-1327 (2022). Reviewer: Anhui Gu (Chongqing) MSC: 37D25 37A50 37H10 39A50 60F17 60H10 60G42 70K70 PDF BibTeX XML Cite \textit{A. Korepanov} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1305--1327 (2022; Zbl 1502.37041) Full Text: DOI arXiv
Hennig, Dirk; Karachalios, Nikos I. Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear Klein-Gordon lattices in \(\mathbb{Z}^d\), \(d \geq 1\). (English) Zbl 1506.37092 Proc. Edinb. Math. Soc., II. Ser. 65, No. 2, 480-499 (2022). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 37K40 37K60 47H10 34C15 39A36 47N20 PDF BibTeX XML Cite \textit{D. Hennig} and \textit{N. I. Karachalios}, Proc. Edinb. Math. Soc., II. Ser. 65, No. 2, 480--499 (2022; Zbl 1506.37092) Full Text: DOI
Sun, Hong-Qian; Zhu, Zuo-Nong Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation. (English) Zbl 1495.37061 Physica D 436, Article ID 133312, 13 p. (2022). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K40 37K35 39A12 39A36 35Q55 PDF BibTeX XML Cite \textit{H.-Q. Sun} and \textit{Z.-N. Zhu}, Physica D 436, Article ID 133312, 13 p. (2022; Zbl 1495.37061) Full Text: DOI
Ho, Myong-Song; Pak, Ji-Song; Jo, Song-Mi; Kim, Ju-Song Neighbor-gradient single-pass method for solving anisotropic eikonal equation. (English) Zbl 1500.65092 J. Sci. Comput. 91, No. 2, Paper No. 33, 21 p. (2022). Reviewer: Ljiljana Teofanov (Novi Sad) MSC: 65N06 49L12 49K15 35D40 93C10 PDF BibTeX XML Cite \textit{M.-S. Ho} et al., J. Sci. Comput. 91, No. 2, Paper No. 33, 21 p. (2022; Zbl 1500.65092) Full Text: DOI arXiv
Osipov, A. S. Inverse spectral problem for band operators and their sparsity criterion in terms of inverse problem data. (English) Zbl 1502.39011 Russ. J. Math. Phys. 29, No. 2, 225-237 (2022). MSC: 39A70 37K15 PDF BibTeX XML Cite \textit{A. S. Osipov}, Russ. J. Math. Phys. 29, No. 2, 225--237 (2022; Zbl 1502.39011) Full Text: DOI
Mariappan, Manikandan; Tamilselvan, Ayyadurai An efficient numerical method for a nonlinear system of singularly perturbed differential equations arising in a two-time scale system. (English) Zbl 1486.65081 J. Appl. Math. Comput. 68, No. 2, 1069-1086 (2022). MSC: 65L11 65L12 65L20 65L70 PDF BibTeX XML Cite \textit{M. Mariappan} and \textit{A. Tamilselvan}, J. Appl. Math. Comput. 68, No. 2, 1069--1086 (2022; Zbl 1486.65081) Full Text: DOI
Debnath, Argha; Khan, Ayan; Basu, Saurabh Dropleton-soliton crossover mediated via trap modulation. (English) Zbl 1496.82006 Phys. Lett., A 439, Article ID 128137, 7 p. (2022). MSC: 82B26 82B30 81V73 35C08 35Q55 82M20 65M06 PDF BibTeX XML Cite \textit{A. Debnath} et al., Phys. Lett., A 439, Article ID 128137, 7 p. (2022; Zbl 1496.82006) Full Text: DOI arXiv
Al-Sultani, Mohamed; Boglaev, Igor Numerical solution of nonlinear parabolic systems by block monotone methods. (English) Zbl 07531722 J. Comput. Appl. Math. 412, Article ID 114282, 21 p. (2022). MSC: 65M06 65M12 65N12 65F10 65-02 PDF BibTeX XML Cite \textit{M. Al-Sultani} and \textit{I. Boglaev}, J. Comput. Appl. Math. 412, Article ID 114282, 21 p. (2022; Zbl 07531722) Full Text: DOI
Ji, Yi; Xing, Yufeng A two-step time integration method with desirable stability for nonlinear structural dynamics. (English) Zbl 1493.74114 Eur. J. Mech., A, Solids 94, Article ID 104582, 19 p. (2022). MSC: 74S20 74H45 70-08 65M12 PDF BibTeX XML Cite \textit{Y. Ji} and \textit{Y. Xing}, Eur. J. Mech., A, Solids 94, Article ID 104582, 19 p. (2022; Zbl 1493.74114) Full Text: DOI
Aydogmus, Ozgur; Kang, Yun Analysis of stationary patterns arising from a time-discrete metapopulation model with nonlocal competition. (English) Zbl 1486.39026 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2917-2934 (2022). MSC: 39A60 92D40 92D25 37N25 PDF BibTeX XML Cite \textit{O. Aydogmus} and \textit{Y. Kang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2917--2934 (2022; Zbl 1486.39026) Full Text: DOI
Lin, Genghong; Yu, Jianshe Homoclinic solutions of periodic discrete Schrödinger equations with local superquadratic conditions. (English) Zbl 1491.35405 SIAM J. Math. Anal. 54, No. 2, 1966-2005 (2022). MSC: 35Q55 39A12 39A70 35A01 35B38 35A15 37C29 PDF BibTeX XML Cite \textit{G. Lin} and \textit{J. Yu}, SIAM J. Math. Anal. 54, No. 2, 1966--2005 (2022; Zbl 1491.35405) Full Text: DOI
Chen, Guanwei; Schechter, Martin Multiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms. (English) Zbl 1491.35400 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2107-2114 (2022). MSC: 35Q55 39A12 39A70 35B40 34B20 37K60 PDF BibTeX XML Cite \textit{G. Chen} and \textit{M. Schechter}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2107--2114 (2022; Zbl 1491.35400) Full Text: DOI
Huynh, Huy; Kloeden, Peter E.; Pötzsche, Christian Forward and pullback dynamics of nonautonomous integrodifference equations: basic constructions. (English) Zbl 1495.37025 J. Dyn. Differ. Equations 34, No. 1, 671-699 (2022). MSC: 37C70 37C60 45G15 92D40 PDF BibTeX XML Cite \textit{H. Huynh} et al., J. Dyn. Differ. Equations 34, No. 1, 671--699 (2022; Zbl 1495.37025) Full Text: DOI arXiv
Ramos, Higinio; Kaur, Anurag; Kanwar, V. Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations. (English) Zbl 1499.65575 Comput. Appl. Math. 41, No. 1, Paper No. 34, 28 p. (2022). MSC: 65M70 65M06 65N35 65D07 35F50 35Q53 PDF BibTeX XML Cite \textit{H. Ramos} et al., Comput. Appl. Math. 41, No. 1, Paper No. 34, 28 p. (2022; Zbl 1499.65575) Full Text: DOI
Pargaei, Meena; Kumar, B. V. Rathish; Pavarino, Luca F.; Scacchi, Simone Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence-uniqueness, finite element computation and application to multiple ischemic disease. (English) Zbl 1492.35375 J. Math. Biol. 84, No. 3, Paper No. 17, 42 p. (2022). MSC: 35Q92 92C37 92C35 92C05 35G20 35G50 35A01 35A02 34A12 65M60 65M06 65N30 65L05 92-08 PDF BibTeX XML Cite \textit{M. Pargaei} et al., J. Math. Biol. 84, No. 3, Paper No. 17, 42 p. (2022; Zbl 1492.35375) Full Text: DOI
Hennig, Dirk; Karachalios, Nikos I.; Cuevas-Maraver, Jesús The closeness of the Ablowitz-Ladik lattice to the discrete nonlinear Schrödinger equation. (English) Zbl 1512.35536 J. Differ. Equations 316, 346-363 (2022). MSC: 35Q55 35Q41 39A10 35C08 35C05 37K10 37K15 PDF BibTeX XML Cite \textit{D. Hennig} et al., J. Differ. Equations 316, 346--363 (2022; Zbl 1512.35536) Full Text: DOI arXiv
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. (English) Zbl 1510.76195 Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022). MSC: 76U05 37M15 37N10 65F22 65M06 68T05 76B15 PDF BibTeX XML Cite \textit{B. Karasözen} et al., Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022; Zbl 1510.76195) Full Text: DOI arXiv
Naz, R. A current-value Hamiltonian approach to discrete-time optimal control problems in economic growth theory. (English) Zbl 1493.37115 J. Difference Equ. Appl. 28, No. 1, 109-119 (2022). Reviewer: Vasile Postolică (Piatra Neamţ) MSC: 37N40 37J51 39A60 91B55 91B62 PDF BibTeX XML Cite \textit{R. Naz}, J. Difference Equ. Appl. 28, No. 1, 109--119 (2022; Zbl 1493.37115) Full Text: DOI arXiv
Ma, Li-Yuan; Zhang, Yan-Li; Zhao, Hai-Qiong; Zhu, Zuo-Nong Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit. (English) Zbl 1509.35283 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022). MSC: 35Q55 35Q40 35Q51 35C08 37K10 37K35 37J70 39A36 82D40 PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022; Zbl 1509.35283) Full Text: DOI
Coelho, D. L.; Vitral, E.; Pontes, J.; Mangiavacchi, N. Numerical scheme for solving the nonuniformly forced cubic and quintic Swift-Hohenberg equations strictly respecting the Lyapunov functional. (English) Zbl 1503.65166 J. Comput. Appl. Math. 407, Article ID 114005, 20 p. (2022). MSC: 65M06 65M12 76R10 76M20 37C29 PDF BibTeX XML Cite \textit{D. L. Coelho} et al., J. Comput. Appl. Math. 407, Article ID 114005, 20 p. (2022; Zbl 1503.65166) Full Text: DOI arXiv
Anderson, William; Farazmand, Mohammad Evolution of nonlinear reduced-order solutions for PDEs with conserved quantities. (English) Zbl 1484.65206 SIAM J. Sci. Comput. 44, No. 1, A176-A197 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65M80 65P99 37L65 37K06 70H33 35D35 35A01 35A02 35Q31 35Q55 PDF BibTeX XML Cite \textit{W. Anderson} and \textit{M. Farazmand}, SIAM J. Sci. Comput. 44, No. 1, A176--A197 (2022; Zbl 1484.65206) Full Text: DOI arXiv