Computers & Mathematics with Applications Short Title: Comput. Math. Appl. Publisher: Elsevier (Pergamon), Oxford ISSN: 0898-1221; 1873-7668/e Online: https://www.sciencedirect.com/journal/computers-and-mathematics-with-applications/issues Predecessor: Computers and Mathematics with Applications. Part BComputers and Mathematics with Applications. Part A Comments: Journal; Vol. 12 (1986) was published as Part A respectively Part B. 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Stanley 52 Jódar Sanchez, Lucas Antonio 52 Srivastava, Hari Mohan 51 Dehghan Takht Fooladi, Mehdi 46 Glaister, Paul 44 Pan, Victor Yakovlevich 41 Galperin, Efim A. 40 Yavin, Yaakov 36 Liu, Fawang 35 Murio, Diego A. 33 Zhou, Yong 31 Anastassiou, George Angelos 31 Demkowicz, Leszek 31 Dragomir, Sever Silvestru 31 O’Regan, Donal 31 Yao, Jen-Chih 30 Tang, Xianhua 28 Huang, Ting-Zhu 27 Zhang, Binggen 26 Ma, Changfeng 25 Chen, Wen 25 Shi, Baochang 25 Shi, Dongyang 25 Wong, Patricia J. Y. 23 Huang, Yunqing 23 Li, Hongxing 22 Adomian, George 22 Ge, Weigao 22 Greenspan, Donald 22 Gunzburger, Max D. 21 Kalaba, Robert E. 21 Krafczyk, Manfred 21 Noor, Muhammad Aslam 20 Aouf, Mohamed Kamal 20 Chai, Zhenhua 20 He, Yinnian 20 Jun, Young Bae 20 Li, Jichun 19 Cho, Yeol Je 19 Faragó, István 19 Huang, Nan-Jing 19 Ma, Wen-Xiu 19 Misra, Jagadis Chandra 19 Tian, Bo 19 Zlatev, Zahari 18 Henderson, Johnny Lee 18 Kang, Shin Min 18 Momani, Shaher M. 18 Neta, Beny 18 Ortiz, Eduardo L. 18 Yan, Jurang 18 Yu, Jian-She 17 Debnath, Lokenath 17 Ding, Xie Ping 17 Simos, Theodore E. 17 Wachspress, Eugene L. 17 Yıldırım, Ahmet 16 Chen, Yanping 16 Evans, David John 16 Feng, Xinlong 16 Li, Hong 16 Li, Wan-Tong 16 Rojo, Oscar L. 15 Frangos, Constantinos 15 Hou, Yanren 15 Kim, Junseok 15 Park, Eun-Jae 15 Petković, Miodrag S. 15 Qin, Mengzhao 15 Rui, Hongxing 15 Shampine, Lawrence Fred 15 Shieh, Leang-San 15 Tang, Yifa 15 Vaillancourt, Rémi 15 Wang, Yuanming 14 Băleanu, Dumitru I. 14 Hayat, Tasawar 14 Jiang, Daqing 14 Liu, Yang 14 Yuan, Xuehai 13 Abbaszadeh, Mostafa 13 Bai, Zhongzhi 13 Chen, Ching-Shyang 13 Chen, Haibo 13 Lin, Ji 13 Machado, José António Tenreiro 13 Noor, Khalida Inayat 13 Osaki, Shunji 13 Paszyński, Maciej 13 Reif, John H. 13 Rozza, Gianluigi 13 Turner, Ian William 13 Zhan, Jianming 13 Zhang, Guofeng 13 Zhu, Songping 12 Balachandran, Krishnan 12 Biazar, Jafar 12 Ceng, Lu-Chuan 12 Chen, Lansun ...and 17,105 more Authors all top 5 Fields 5,945 Numerical analysis (65-XX) 3,106 Partial differential equations (35-XX) 2,024 Fluid mechanics (76-XX) 1,393 Ordinary differential equations (34-XX) 958 Computer science (68-XX) 957 Operations research, mathematical programming (90-XX) 824 Biology and other natural sciences (92-XX) 819 Mechanics of deformable solids (74-XX) 493 Calculus of variations and optimal control; optimization (49-XX) 481 Real functions (26-XX) 472 Operator theory (47-XX) 468 Difference and functional equations (39-XX) 448 Probability theory and stochastic processes (60-XX) 446 Systems theory; control (93-XX) 438 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 389 Integral equations (45-XX) 372 Information and communication theory, circuits (94-XX) 355 Approximations and expansions (41-XX) 341 Statistics (62-XX) 340 Linear and multilinear algebra; matrix theory (15-XX) 338 Dynamical systems and ergodic theory (37-XX) 291 Optics, electromagnetic theory (78-XX) 281 Classical thermodynamics, heat transfer (80-XX) 270 Statistical mechanics, structure of matter (82-XX) 256 Combinatorics (05-XX) 202 Functions of a complex variable (30-XX) 196 Special functions (33-XX) 187 Mathematical logic and foundations (03-XX) 132 Number theory (11-XX) 126 Geophysics (86-XX) 103 Harmonic analysis on Euclidean spaces (42-XX) 102 Mechanics of particles and systems (70-XX) 92 Quantum theory (81-XX) 91 General and overarching topics; collections (00-XX) 91 General topology (54-XX) 69 Sequences, series, summability (40-XX) 68 Integral transforms, operational calculus (44-XX) 63 Functional analysis (46-XX) 61 Group theory and generalizations (20-XX) 46 Order, lattices, ordered algebraic structures (06-XX) 45 Convex and discrete geometry (52-XX) 43 Field theory and polynomials (12-XX) 38 Potential theory (31-XX) 37 Geometry (51-XX) 34 History and biography (01-XX) 33 Measure and integration (28-XX) 27 Global analysis, analysis on manifolds (58-XX) 24 Associative rings and algebras (16-XX) 23 Differential geometry (53-XX) 20 General algebraic systems (08-XX) 20 Relativity and gravitational theory (83-XX) 15 Algebraic geometry (14-XX) 13 Astronomy and astrophysics (85-XX) 12 Manifolds and cell complexes (57-XX) 10 Commutative algebra (13-XX) 9 Topological groups, Lie groups (22-XX) 7 Category theory; homological algebra (18-XX) 5 Mathematics education (97-XX) 4 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 10,532 Publications have been cited 129,940 times in 80,402 Documents Cited by ▼ Year ▼ Multiquadrics – a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations. Zbl 0850.76048 Kansa, E. J. 880 1990 Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates. Zbl 0692.76003 Kansa, E. J. 875 1990 Soft set theory – first results. Zbl 0936.03049 Molodtsov, D. 761 1999 A dual algorithm for the solution of nonlinear variational problems via finite element approximation. Zbl 0352.65034 Gabay, Daniel; Mercier, Bertrand 729 1976 Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability. Zbl 1189.34015 Li, Yan; Chen, Yangquan; Podlubny, Igor 527 2010 Positive solutions for a quasilinear elliptic equation of Kirchhoff type. Zbl 1130.35045 Alves, C. O.; Corrêa, F. J. S. A.; Ma, T. F. 465 2005 Soft set theory. Zbl 1032.03525 Maji, P. K.; Biswas, R.; Roy, A. R. 464 2003 Existence of mild solutions for fractional neutral evolution equations. Zbl 1189.34154 Zhou, Yong; Jiao, Feng 431 2010 A new operational matrix for solving fractional-order differential equations. Zbl 1189.65151 Saadatmandi, Abbas; Dehghan, Mehdi 422 2010 Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results. Zbl 1137.65001 Jumarie, G. 348 2006 Equivalent projectors for virtual element methods. Zbl 1347.65172 Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A. 342 2013 Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Zbl 1205.34003 Ahmad, Bashir; Nieto, Juan J. 340 2009 An application of soft sets in a decision making problem. Zbl 1044.90042 Maji, P. K.; Roy, A. D.; Biswas, R. 325 2002 On some new operations in soft set theory. Zbl 1186.03068 Ali, M. Irfan; Feng, Feng; Liu, Xiaoyan; Min, Won Keun; Shabir, M. 302 2009 On \(\Delta\)-convergence theorems in CAT\((0)\) spaces. Zbl 1165.65351 Dhompongsa, S.; Panyanak, B. 301 2008 Fractional calculus models of complex dynamics in biological tissues. Zbl 1189.92007 Magin, Richard L. 298 2010 Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM. Zbl 0838.65108 Ihlenburg, Frank; Babuška, Ivo 282 1995 On Riemann and Caputo fractional differences. Zbl 1228.26008 Abdeljawad, Thabet 273 2011 A computational approach to fuzzy quantifiers in natural languages. Zbl 0517.94028 Zadeh, Lotfi A. 270 1983 Existence and uniqueness for a problem involving hilfer fractional derivative. Zbl 1268.34013 Furati, Khaled M.; Kassim, M. D.; Tatar, Nasser-eddine 249 2012 Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988. Zbl 0692.65003 Hardy, R. L. 242 1990 Implicit finite difference approximation for time fractional diffusion equations. Zbl 1155.65372 Murio, Diego A. 241 2008 Variational iteration method: New development and applications. Zbl 1141.65372 He, Ji-Huan; Wu, Xu-Hong 237 2007 Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations. Zbl 0955.65086 Kansa, E. J.; Hon, Y. C. 236 2000 Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions. Zbl 0987.65122 Boyd, J. P. 215 2001 Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion. Zbl 1228.65190 Li, Changpin; Zhao, Zhengang; Chen, Yangquan 211 2011 Convergence of Adomian’s method applied to differential equations. Zbl 0809.65073 Abbaoui, K.; Cherruault, Y. 204 1994 Stable computation of multiquadric interpolants for all values of the shape parameter. Zbl 1072.41001 Fornberg, B.; Wright, G. 203 2004 Soft semirings. Zbl 1165.16307 Feng, Feng; Jun, Young Bae; Zhao, Xianzhong 202 2008 Linear superposition principle applying to Hirota bilinear equations. Zbl 1217.35164 Ma, Wen-Xiu; Fan, Engui 196 2011 Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations. Zbl 1189.34014 Li, C. F.; Luo, X. N.; Zhou, Yong 193 2010 Existence of fractional neutral functional differential equations. Zbl 1189.34152 Agarwal, R. P.; Zhou, Yong; He, Yunyun 183 2010 On soft topological spaces. Zbl 1219.54016 Shabir, Muhammad; Naz, Munazza 181 2011 Three positive fixed points of nonlinear operators on ordered Banach spaces. Zbl 1005.47051 Avery, R. I.; Peterson, A. C. 179 2001 A numerical study of some radial basis function based solution methods for elliptic PDEs. Zbl 1049.65136 Larsson, E.; Fornberg, B. 172 2003 Interpolation in the limit of increasingly flat radial basis functions. Zbl 1006.65013 Driscoll, T. A.; Fornberg, B. 167 2002 Meshfree explicit local radial basis function collocation method for diffusion problems. Zbl 1168.41003 Šarler, B.; Vertnik, R. 164 2006 Goal-oriented error estimation and adaptivity for the finite element method. Zbl 0987.65110 Oden, J. T.; Prudhomme, S. 163 2001 Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation. Zbl 1189.35360 Luchko, Yury 163 2010 Anomalous diffusion modeling by fractal and fractional derivatives. Zbl 1189.35355 Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean 162 2010 A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order. Zbl 1231.65126 Doha, E. H.; Bhrawy, A. H.; Ezz-Eldien, S. S. 162 2011 New ideas for proving convergence of decomposition methods. Zbl 0832.47051 Abbaoui, K.; Cherruault, Y. 159 1995 The parameter \(R^ 2\) in multiquadric interpolation. Zbl 0725.65009 Carlson, Ralph E.; Foley, Thomas A. 154 1991 Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation. Zbl 1416.35232 Ma, Wen-Xiu; Yong, Xuelin; Zhang, Hai-Qiang 154 2018 The parameterization reduction of soft sets and its applications. Zbl 1074.03510 Chen, Degang; Tsang, E. C. C.; Yeung, Daniel S.; Wang, Xizhao 153 2005 Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions. Zbl 1211.39002 Goodrich, Christopher S. 151 2011 Axioms of adaptivity. Zbl 1350.65119 Carstensen, C.; Feischl, M.; Page, M.; Praetorius, D. 150 2014 Existence of solutions for a class of fractional boundary value problems via critical point theory. Zbl 1235.34017 Jiao, Feng; Zhou, Yong 149 2011 A meshless, integration-free, and boundary-only RBF technique. Zbl 0999.65142 Chen, W.; Tanaka, M. 148 2002 LMI stability conditions for fractional order systems. Zbl 1189.34020 Sabatier, Jocelyn; Moze, Mathieu; Farges, Christophe 148 2010 Fractional diffusion equations by the Kansa method. Zbl 1189.35356 Chen, Wen; Ye, Linjuan; Sun, Hongguang 144 2010 New diffusion models in image processing. Zbl 1155.35389 Aboulaich, R.; Meskine, D.; Souissi, A. 142 2008 Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models. Zbl 0873.34061 Yang, Xia; Chen, Lansun; Chen, Jufang 141 1996 Nonlinear impulsive problems for fractional differential equations and Ulam stability. Zbl 1268.34033 Wang, JinRong; Zhou, Yong; Fečkan, Michal 141 2012 The Runge phenomenon and spatially variable shape parameters in RBF interpolation. Zbl 1128.41001 Fornberg, Bengt; Zuev, Julia 140 2007 Uniform asymptotic stability of impulsive delay differential equations. Zbl 0989.34061 Liu, Xinzhi; Ballinger, G. 139 2001 Mixed lump-kink solutions to the BKP equation. Zbl 1387.35540 Zhang, Jian-bing; Ma, Wen-Xiu 136 2017 Least squares finite-element solution of a fractional order two-point boundary value problem. Zbl 1069.65094 Fix, G. J.; Roof, J. P. 134 2004 Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013 Debbouche, Amar; Baleanu, Dumitru 133 2011 Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings. Zbl 1081.47063 Cho, Yeol Je; Zhou, Haiyun; Guo, Ginti 133 2004 Positive solutions to singular boundary value problem for nonlinear fractional differential equation. Zbl 1189.34050 Zhang, Shuqin 132 2010 On the approximate controllability of semilinear fractional differential systems. Zbl 1228.34093 Sakthivel, R.; Ren, Yong; Mahmudov, N. I. 132 2011 Miscellaneous error bounds for multiquadric and related interpolators. Zbl 0766.41003 Madych, W. R. 132 1992 Soft BCK/BCI-algebras. Zbl 1155.06301 Jun, Young Bae 131 2008 Mixed lump-kink solutions to the KP equation. Zbl 1394.35461 Zhao, Hai-qiong; Ma, Wen-Xiu 130 2017 Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay. Zbl 1228.35253 Wang, Zhen; Huang, Xia; Shi, Guodong 128 2011 The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Zbl 1345.35128 D’Elia, Marta; Gunzburger, Max 128 2013 Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124 Liu, F.; Zhuang, P.; Burrage, K. 127 2012 Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations. Zbl 1386.35460 Yang, Xiao-Jun; Gao, Feng; Srivastava, H. M. 126 2017 A tau approach for solution of the space fractional diffusion equation. Zbl 1228.65203 Saadatmandi, Abbas; Dehghan, Mehdi 124 2011 A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. Zbl 1350.65092 Zhang, H.; Liu, F.; Phanikumar, Mantha S.; Meerschaert, Mark M. 124 2013 Coupled fixed point theorems for nonlinear contractions in cone metric spaces. (Couple fixed point theorems for nonlinear contractions in cone metric spaces.) Zbl 1198.65097 Karapınar, Erdal 123 2010 The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254 Odibat, Zaid; Momani, Shaher 122 2009 Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation. Zbl 1368.35240 Zhang, Yong; Dong, Huanhe; Zhang, Xiaoen; Yang, Hongwei 121 2017 New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation. Zbl 1202.65092 Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E. 120 2010 A two-level discretization method for the Navier-Stokes equations. Zbl 0773.76042 Layton, W. 118 1993 Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions. Zbl 1074.41012 Larsson, E.; Fornberg, B. 118 2005 Gradient based iterative solutions for general linear matrix equations. Zbl 1189.65083 Xie, Li; Ding, Jie; Ding, Feng 116 2009 Coupled fixed point results for \((\psi,\phi)\)-weakly contractive condition in ordered partial metric spaces. Zbl 1236.54035 Aydi, Hassen; Karapınar, Erdal; Shatanawi, Wasfi 116 2011 Theory of fractional hybrid differential equations. Zbl 1228.45017 Zhao, Yige; Sun, Shurong; Han, Zhenlai; Li, Qiuping 116 2011 Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Zbl 1268.35124 Jiang, H.; Liu, Fawang; Turner, I.; Burrage, K. 115 2012 A survey of the theory of hypercube graphs. Zbl 0645.05061 Harary, Frank; Hayes, John P.; Wu, Horng-Jyh 113 1988 A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces. Zbl 1068.49003 Fang, Ya-Ping; Huang, Nan-Jing; Thompson, H. B. 113 2005 Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method. Zbl 1143.35360 Wu, Xu-Hong (Benn); He, Ji-Huan 113 2007 Ranking fuzzy numbers with an area between the centroid point and original point. Zbl 1113.62307 Chu, Ta-Chung; Tsao, Chung-Tsen 111 2002 Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems. Zbl 1222.65066 Kosti, A. A.; Anastassi, Z. A.; Simos, T. E. 111 2011 A numerical technique for solving fractional optimal control problems. Zbl 1228.65109 Lotfi, A.; Dehghan, Mehdi; Yousefi, S. A. 111 2011 On the fractional Adams method. Zbl 1189.65142 Li, Changpin; Tao, Chunxing 110 2009 On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006 Băleanu, Dumitru; Mustafa, Octavian G. 110 2010 The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\). Zbl 1268.34155 Shu, Xiao-Bao; Wang, Qianqian 110 2012 An extragradient method for solving split feasibility and fixed point problems. Zbl 1252.65102 Ceng, L.-C.; Ansari, Q. H.; Yao, J.-C. 110 2012 On modified Runge-Kutta trees and methods. Zbl 1231.65118 Tsitouras, Ch.; Famelis, I. Th.; Simos, T. E. 109 2011 Existence and multiplicity of positive solutions for singular fractional boundary value problems. Zbl 1247.34006 Bai, Zhanbing; Sun, Weichen 109 2012 Positive solutions for a class of boundary value problems with fractional \(q\)-differences. Zbl 1216.39013 Ferreira, Rui A. C. 109 2011 Projection methods, algorithms, and a new system of nonlinear variational inequalities. Zbl 0995.47042 Verma, R. U. 108 2001 Stable calculation of Gaussian-based RBF-FD stencils. Zbl 1319.65011 Fornberg, Bengt; Lehto, Erik; Powell, Collin 108 2013 Approximate controllability of fractional stochastic evolution equations. Zbl 1238.93099 Sakthivel, R.; Suganya, S.; Anthoni, S. M. 107 2012 Soft sets and soft rings. Zbl 1197.03048 Acar, Ummahan; Koyuncu, Fatih; Tanay, Bekir 107 2010 Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem. Zbl 1443.65209 Liu, Yang; Du, Yanwei; Li, Hong; He, Siriguleng; Gao, Wei 107 2015 A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation. Zbl 1236.65083 Alolyan, Ibraheem; Simos, T. E. 106 2011 Curved elements in weak Galerkin finite element methods. Zbl 1528.65114 Li, Dan; Wang, Chunmei; Wang, Junping 3 2024 Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers. Zbl 1538.65487 Antonietti, P. F.; Farenga, N.; Manuzzi, E.; Martinelli, G.; Saverio, L. 2 2024 Pointwise second order convergence of structure-preserving scheme for the triple-coupled nonlinear Schrödinger equations. Zbl 07784351 Kong, Linghua; Wu, Yexiang; Liu, Zhiqiang; Wang, Ping 2 2024 An adaptive finite element method for distributed elliptic optimal control problems with variable energy regularization. Zbl 07824639 Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong 2 2024 Efficient truncated randomized SVD for mesh-free kernel methods. Zbl 07853319 Noorizadegan, A.; Chen, C.-S.; Cavoretto, R.; De Rossi, A. 2 2024 Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model. 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Zbl 07813437 Wang, Yan; Yang, Yining; Wang, Jinfeng; Li, Hong; Liu, Yang 1 2024 Convergence of a continuous Galerkin method for hyperbolic-parabolic systems. Zbl 07813458 Bause, Markus; Anselmann, Mathias; Köcher, Uwe; Radu, Florin A. 1 2024 An explicitness-preserving IMEX-split multiderivative method. Zbl 07813459 Theodosiou, Eleni; Schütz, Jochen; Seal, David 1 2024 Construction of polynomial particular solutions of linear constant-coefficient partial differential equations. Zbl 07839883 Anderson, Thomas G.; Bonnet, Marc; Faria, Luiz M.; Pérez-Arancibia, Carlos 1 2024 A lowest order stabilization-free mixed virtual element method. Zbl 07824650 Borio, Andrea; Lovadina, Carlo; Marcon, Francesca; Visinoni, Michele 1 2024 Nonlocal Cahn-Hilliard type model for image inpainting. Zbl 07824622 Jiang, Dandan; Azaiez, Mejdi; Miranville, Alain; Xu, Chuanju 1 2024 A stochastic method for solving time-fractional differential equations. Zbl 07824632 Guidotti, Nicolas L.; Acebrón, Juan A.; Monteiro, José 1 2024 Analysis of a stabilization-free quadrilateral virtual element for 2D linear elasticity in the Hu-Washizu formulation. Zbl 07801618 Cremonesi, Massimiliano; Lamperti, Andrea; Lovadina, Carlo; Perego, Umberto; Russo, Alessandro 1 2024 Iterative solution methods for high-order/\(hp\)-DGFEM approximation of the linear Boltzmann transport equation. Zbl 07859657 Houston, Paul; Hubbard, Matthew E.; Radley, Thomas J. 1 2024 An improved splitting algorithm for unsteady generalized Newtonian fluid flow problems with natural boundary conditions. Zbl 07863384 Obbadi, Anouar; El-Amrani, Mofdi; Seaid, Mohammed; Yakoubi, Driss 1 2024 Magneto-thermoelastic interactions in an unbounded orthotropic viscoelastic solid under the Hall current effect by the fourth-order Moore-Gibson-Thompson equation. Zbl 07691970 Abouelregal, Ahmed E.; Akgöz, Bekir; Civalek, Ömer 14 2023 Transient analyses of wave propagations in nonhomogeneous media employing the novel finite element method with the appropriate enrichment function. Zbl 1524.74444 Sun, Tingting; Wang, Peng; Zhang, Guanjun; Chai, Yingbin 12 2023 A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms. Zbl 07691983 Shiromani, Ram; Shanthi, Vembu; Das, Pratibhamoy 10 2023 Pressure correction projection finite element method for the 2D/3D time-dependent thermomicropolar fluid problem. Zbl 1538.76055 Ren, Yuhang; Liu, Demin 9 2023 Stabilization-free virtual element method for plane elasticity. Zbl 1538.65499 Chen, Alvin; Sukumar, N. 8 2023 A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem. Zbl 1538.65497 Caucao, Sergio; Colmenares, Eligio; Gatica, Gabriel N.; Inzunza, Cristian 8 2023 Rapid calculation of large-scale acoustic scattering from complex targets by a dual-level fast direct solver. Zbl 1524.65908 Li, Junpu; Fu, Zhuojia; Gu, Yan; Zhang, Lan 7 2023 Analysis and simulation of Korteweg-de Vries-Rosenau-regularised long-wave model via Galerkin finite element method. Zbl 1538.65336 Ankur; Jiwari, Ram; Kumar, Naresh 7 2023 Meshless Galerkin analysis of the generalized Stokes problem. Zbl 1538.65536 Li, Xiaolin; Li, Shuling 7 2023 A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem. Zbl 1538.65263 Sahoo, Sanjay Ku; Gupta, Vikas 6 2023 An effective phase field method for topology optimization without the curvature effects. Zbl 1538.74120 Xie, Wenxuan; Xia, Qing; Yu, Qian; Li, Yibao 5 2023 A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates. Zbl 1538.74094 Motamedi, Ali Reza; Noormohammadi, Nima; Boroomand, Bijan 5 2023 An interpolation-free cell-centered discretization of the heterogeneous and anisotropic diffusion problems on polygonal meshes. Zbl 1524.65726 Miao, Shuai; Wu, Jiming; Yao, Yanzhong 4 2023 A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems. Zbl 1524.65718 Qin, Qiushuo; Song, Lina; Liu, Fan 4 2023 Bounds preserving temporal integration methods for hyperbolic conservation laws. Zbl 1538.65240 Dzanic, T.; Trojak, W.; Witherden, F. D. 4 2023 A parallel grad-div stabilized finite element algorithm for the Stokes equations with damping. Zbl 1538.65523 Jiang, Ye; Zheng, Bo; Y. Q. Shang, Yueqiang 4 2023 Coupling of finite element and boundary element methods with regularization for a nonlinear interface problem with nonmonotone set-valued transmission conditions. Zbl 1538.65513 Gwinner, J.; Ovcharova, N. 4 2023 L1 scheme for solving an inverse problem subject to a fractional diffusion equation. Zbl 1538.65318 Li, Binjie; Xie, Xiaoping; Yan, Yubin 4 2023 A new variable shape parameter strategy for RBF approximation using neural networks. Zbl 1538.65031 Nassajian Mojarrad, Fatemeh; Han Veiga, Maria; Hesthaven, Jan S.; Öffner, Philipp 4 2023 Physics-informed deep learning for melting heat transfer analysis with model-based transfer learning. Zbl 07703992 Guo, Hongwei; Zhuang, Xiaoying; Alajlan, Naif; Rabczuk, Timon 4 2023 Highly efficient, decoupled and unconditionally stable numerical schemes for a modified phase-field crystal model with a strong nonlinear vacancy potential. Zbl 1524.65439 Zhang, Xin; Wu, Jingwen; Tan, Zhijun 3 2023 Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis. Zbl 07772637 Santra, Sudarshan; Mohapatra, Jugal; Das, Pratibhamoy; Choudhuri, Debajyoti 3 2023 The role of stabilization in the virtual element method: a survey. Zbl 1538.65540 Mascotto, Lorenzo 3 2023 A deep first-order system least squares method for solving elliptic PDEs. Zbl 1524.65756 Bersetche, Francisco M.; Borthagaray, Juan Pablo 3 2023 An immersed finite element method for elliptic interface problems on surfaces. Zbl 1524.65808 Guo, Changyin; Xiao, Xufeng; Feng, Xinlong; Tan, Zhijun 3 2023 A rotated lattice Boltzmann flux solver with improved stability for the simulation of compressible flows with intense shock waves at high Mach number. Zbl 1524.76198 Chen, Jiabao; Yang, Dangguo; Chen, Qing; Sun, Jianhong; Wang, Yan 3 2023 CPINNs: a coupled physics-informed neural networks for the closed-loop geothermal system. Zbl 1524.76336 Zhang, Wen; Li, Jian 3 2023 A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model. Zbl 1538.65575 Zheng, Bo; Shang, Yueqiang 3 2023 Fractional-order diffusion coupled with integer-order diffusion for multiplicative noise removal. Zbl 1538.65254 Li, Chengxue; He, Chuanjiang 3 2023 Convergence analysis of the element-free Galerkin method for plate bending problem. Zbl 1538.65538 Ma, Huanhuan; Chen, Jingrun; Deng, Jiansong 3 2023 Finite element method for the stationary dual-porosity Navier-Stokes system with Beavers-Joseph interface conditions. Zbl 1538.76191 Qiu, Meilan; Qing, Fang; Yu, Xijun; Hou, Jiangyong; Li, Dewang; Zhao, Xiaolong 3 2023 Mixed virtual element methods for optimal control of Darcy flow. Zbl 1538.65554 Tushar, Jai; Kumar, Anil; Kumar, Sarvesh 3 2023 A polygonal finite volume element method for anisotropic diffusion problems. Zbl 1538.65465 Zhou, Yanhui; Zhang, Yanlong; Wu, Jiming 3 2023 SAV Fourier-spectral method for diffuse-interface tumor-growth model. Zbl 1538.92009 Shen, Xiaoqin; Wu, Lixiao; Wen, Juan; Zhang, Juan 3 2023 An iterative decomposition coupling algorithm between TD-FEM and TD-BEM with independent spatial discretization on the interface. Zbl 1538.74142 Lei, Weidong; Qin, Xiaofei; Li, Hongjun; Fan, Youhua 3 2023 Space-time unfitted finite element methods for time-dependent problems on moving domains. Zbl 1538.65341 Badia, Santiago; Dilip, Hridya; Verdugo, Francesc 3 2023 Optimal pointwise-in-time error analysis of a mixed finite element method for a multi-term time-fractional fourth-order equation. Zbl 07667342 Huang, Chaobao; An, Na; Chen, Hu 3 2023 A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems. Zbl 1538.65337 Antonietti, Paola F.; Mazzieri, Ilario; Migliorini, Francesco 3 2023 Global mean-square exponential stability and random periodicity of discrete-time stochastic inertial neural networks with discrete spatial diffusions and Dirichlet boundary condition. Zbl 07691971 Zhang, Tianwei; Liu, Yuntao; Qu, Huizhen 3 2023 Radial basis function neural network (RBFNN) approximation of Cauchy inverse problems of the Laplace equation. Zbl 07691972 Mostajeran, F.; Hosseini, S. M. 3 2023 Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation. Zbl 07691999 Zhang, Dan; An, Na; Huang, Chaobao 3 2023 Operator inference with roll outs for learning reduced models from scarce and low-quality data. Zbl 1538.93008 Uy, Wayne Isaac Tan; Hartmann, Dirk; Peherstorfer, Benjamin 3 2023 Second-order linear adaptive time-stepping schemes for the fractional Allen-Cahn equation. Zbl 1538.65237 Bu, Linlin; Wu, Jianhua; Mei, Liquan; Wang, Ying 3 2023 Two-grid algorithms based on FEM for nonlinear time-fractional wave equations with variable coefficient. Zbl 1538.65371 Li, Kang; Tan, Zhijun 3 2023 Solving groundwater flow equation using physics-informed neural networks. Zbl 07731324 Cuomo, Salvatore; De Rosa, Mariapia; Giampaolo, Fabio; Izzo, Stefano; Schiano Di Cola, Vincenzo 3 2023 On \(\tau\)-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations. Zbl 1538.65246 Huang, Yuan-Yuan; Qu, Wei; Lei, Siu-Long 3 2023 Novel analysis approach for the convergence of a second order time accurate mixed finite element scheme for parabolic equations. Zbl 1529.65054 Benkhaldoun, Fayssal; Bradji, Abdallah 2 2023 A new error analysis and post-processing technique of the lowest-order Raviart-Thomas mixed finite element method for parabolic problems. Zbl 1538.65357 Gao, Huadong; Qiu, Weifeng 2 2023 Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media. Zbl 1538.65383 Poveda, Leonardo A.; Fu, Shubin; Chung, Eric T.; Zhao, Lina 2 2023 Deep neural networks learning forward and inverse problems of two-dimensional nonlinear wave equations with rational solitons. Zbl 07783933 Zhou, Zijian; Wang, Li; Yan, Zhenya 2 2023 Determination of a space-dependent source in the thermal-wave model of bio-heat transfer. Zbl 1524.65308 Alosaimi, M.; Lesnic, D. 2 2023 A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs. Zbl 1524.65879 Zhang, Shun 2 2023 A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving. Zbl 1524.65341 Grigori, Laura; Hirstoaga, Sever A.; Salomon, Julien 2 2023 Global space-time Trefftz DG schemes for the time-dependent linear wave equation. Zbl 1524.65624 Yuan, Long 2 2023 Physics-informed neural networks combined with polynomial interpolation to solve nonlinear partial differential equations. Zbl 1504.65233 Tang, Siping; Feng, Xinlong; Wu, Wei; Xu, Hui 2 2023 Application of Legendre wavelet collocation method to the analysis of poro-thermoelastic coupling with variable thermal conductivity. Zbl 1538.74046 Jangid, Komal; Mukhopadhyay, Santwana 2 2023 A family of edge-centered finite volume schemes for heterogeneous and anisotropic diffusion problems on unstructured meshes. Zbl 1538.65461 Liu, Ziqi; Miao, Shuai; Zhang, Zhimin 2 2023 Non-relaxed finite volume fractional step schemes for unsteady incompressible flows. Zbl 1538.76048 Díaz, Felipe A.; Castillo, Ernesto; Cabrales, Roberto C.; Moraga, Nelson O. 2 2023 Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives. Zbl 1538.65457 Jones, Andrew M.; Bosler, Peter A.; Kuberry, Paul A.; Wright, Grady B. 2 2023 Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. Zbl 1538.65511 Guan, Qingguang; Queisser, Gillian; Zhao, Wenju 2 2023 A DPG method for the quad-curl problem. Zbl 1538.65509 Führer, Thomas; Herrera, Pablo; Heuer, Norbert 2 2023 Composite spectral method for the Neumann problem of the Burgers equation on the half line. Zbl 1538.65436 Wang, Tian-jun; Chai, Guo 2 2023 High order compact finite difference methods for non-Fickian flows in porous media. Zbl 1538.76127 Zhao, Xuan; Li, Ziyan; Li, Xiaoli 2 2023 Two novel conservative exponential relaxation methods for the space-fractional nonlinear Schrödinger equation. Zbl 07691988 Xu, Zhuangzhi; Fu, Yayun 2 2023 Hybrid mixed discontinuous Galerkin finite element method for incompressible wormhole propagation problem. Zbl 1538.65407 Zhang, Jiansong; Qin, Rong; Yu, Yun; Zhu, Jiang; Yu, Yue 2 2023 A sparse grad-div stabilized algorithm for the incompressible magnetohydrodynamics equations. Zbl 1538.76108 Liu, Shuaijun; Huang, Pengzhan 2 2023 An adaptive smoothed particle hydrodynamics (SPH) scheme for efficient melt pool simulations in additive manufacturing. Zbl 1538.76138 Lüthi, C.; Afrasiabi, M.; Bambach, M. 2 2023 An adaptive unconditional maximum principle preserving and energy stability scheme for the space fractional Allen-Cahn equation. Zbl 1538.65290 Zhang, Biao; Yang, Yin 2 2023 Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a \(\mathcal{PT}\)-symmetric optical lattice. Zbl 07692031 Wang, Li; Zhou, Zijian; Yan, Zhenya 2 2023 An efficient Jacobi spectral method for variable-order time fractional 2D Wu-Zhang system. Zbl 07692037 Heydari, M. H.; Hosseininia, M. 2 2023 Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. Zbl 1538.76119 Abbaszadeh, Mostafa; Azis, Mohammad Ivan; Dehghan, Mehdi; Mohammadi-Arani, Reza 2 2023 Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions. Zbl 1538.49006 Yang, Caijie; Sun, Tongjun 2 2023 A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. Zbl 1538.65541 Monsuur, Harald; Stevenson, Rob 2 2023 Symmetric fractional order reduction method with \(L1\) scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type. Zbl 1538.65366 Kundaliya, Pari J.; Chaudhary, Sudhakar 2 2023 A new numerical approach for solving shape optimization fourth-order spectral problems among convex domains. Zbl 1538.49054 Chakib, Abdelkrim; Khalil, Ibrahim 2 2023 A lattice Boltzmann model based on Cole-Hopf transformation for \(N\)-dimensional coupled Burgers’ equations. Zbl 1538.65440 Rong, Fumei; Li, Qianhuan; Shi, Baochang; Chai, Zhenhua 2 2023 An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities. Zbl 1538.74123 Sheikhbahaei, Pouria; Mossaiby, Farshid; Shojaei, Arman 2 2023 Error estimate of the cell-centered nonlinear positivity-preserving two-point flux approximation schemes. Zbl 1538.65460 Lin, Lei; Lv, Junliang; Wu, Dan 2 2023 Multilayer models for hydrostatic Herschel-Bulkley viscoplastic flows. Zbl 1538.76006 Fernández-Nieto, E. D.; Garres-Díaz, J.; Vigneaux, P. 2 2023 A numerical method for a nonlocal form of Richards’ equation based on peridynamic theory. Zbl 1538.76182 Berardi, Marco; Difonzo, Fabio V.; Pellegrino, Sabrina F. 2 2023 ...and 1171 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 70,259 Authors 408 Agarwal, Ravi P. 394 Băleanu, Dumitru I. 383 Dehghan Takht Fooladi, Mehdi 254 O’Regan, Donal 221 Kumam, Poom 209 Simos, Theodore E. 201 Ahmad, Bashir 189 Srivastava, Hari Mohan 179 Zhou, Yong 175 Al-saedi, Ahmed Eid Salem 174 Noor, Muhammad Aslam 166 Argyros, Ioannis Konstantinos 158 Ntouyas, Sotiris K. 145 Wang, Jinrong 144 Nieto Roig, Juan Jose 143 Ge, Weigao 143 Liu, Fawang 141 Hayat, Tasawar 137 Chu, Yuming 136 Abdeljawad, Thabet 132 Yao, Jen-Chih 123 Cho, Yeol Je 123 Wu, Yonghong 122 Liu, Lishan 120 Ma, Wen-Xiu 120 Wazwaz, Abdul-Majid Abdul-Rahman 119 Chen, Wen 118 Dragomir, Sever Silvestru 118 Tang, Xianhua 117 Wong, Patricia J. 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