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International Journal for Numerical Methods in Biomedical Engineering

Short Title: Int. J. Numer. Methods Biomed. Eng.
Publisher: Wiley, Chichester
ISSN: 2040-7939; 2040-7947/e
Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)2040-7947/issues
Predecessor: Communications in Numerical Methods in Engineering
Documents Indexed: 289 Publications (since 2010)
References Indexed: 284 Publications with 9,124 References.
all top 5

Authors

7 Yıldırım, Ahmet
6 Dehghan Takht Fooladi, Mehdi
6 Wall, Wolfgang A.
5 Cebral, Juan Raul
5 Kaveh, Ali
5 Löhner, Rainald
4 Comerford, Andrew
4 Lu, Jia
4 Mut, Fernando
4 Putman, Christopher M.
3 Gürarslan, Gürhan
3 Joldes, Grand Roman
3 Kannan, Ravishekar
3 Liu, Gui-Rong
3 Luo, Yunhua
3 Miller, Karol
3 Nguyen-Thoi, Trung
3 Nguyen-Xuan, Hung
3 Nithiarasu, Perumal
3 Sarı, Murat
3 Sazonov, Igor A.
3 Tezduyar, Tayfun E.
3 van Loon, Raoul
3 Wei, Guowei
3 Wittek, Adam
2 Arís, Ruth
2 Aubry, Romain
2 Bevan, Rhodri L. T.
2 Blanco, Pablo Javier
2 Chandran, Krishnan B.
2 Chen, Yongqiang
2 Ehrgott, Matthias
2 Fan, Yubo
2 Förster, Christiane
2 Fortin, André
2 Gamage, Thiranja P. Babarenda
2 Gee, Michael W.
2 Givoli, Dan
2 Göktepe, Serdar
2 Hajarian, Masoud
2 Horton, Ashley
2 Houzeaux, Guillaume
2 Ishikawa, Takuji
2 Ko, Jin Hwan
2 Kuhl, Ellen
2 Kulasegaram, Sivakumar
2 Layton, Anita T.
2 Liu, Zhan
2 Lv, Guixia
2 Nash, Martyn Peter
2 Ng, Eddie-Yin-Kwee
2 Nielsen, Poul Michael Fønss
2 Nordsletten, David A.
2 Qian, Jing
2 Qian, Yingli
2 Quarteroni, Alfio M.
2 Rajagopal, Vijayaraghavan
2 Reddy, B. Dayanand
2 Reddy, Junuthula Narasimha
2 Rubin, Miles B.
2 Sforza, Daniel M.
2 Shen, Longjun
2 Smith, Nicolas P.
2 Takizawa, Kenji
2 Tateshima, Satoshi
2 Tomasiello, Stefania
2 Vazquez, Mariano
2 Vinuela, Fernando
2 Wada, Shigeo
2 Yamaguchi, Takami
2 Yang, Siyang
1 Abd-Elaziz, M. M.
1 Acharya, S. N. S.
1 Ackerer, Philippe
1 Adam, Clayton
1 Aguilar Madeira, José Firmino
1 Ahmed, Sameh Elsayed
1 Alastrue, Victor
1 Alfaro, Iciar
1 Ferri Aliabadi, Mohammad Hossien
1 Allery, Cyrille
1 Almeida, Regina C.
1 Alsafadie, Rabe
1 Amabili, Marco
1 Amat, Sergio P.
1 Anbarlooei, H. R.
1 Anca, Andrés Amílcar
1 Antiga, Luca
1 Aoki, Takayuki
1 Areias, Pedro M. A.
1 Arenas, Abraham J.
1 Arruda, Natalia C. B.
1 Arslan, Nurullah
1 Arvanaq, R. Aalizadeh
1 Asensio, Maria Isabel
1 Ashida, Fumihiro
1 Ashraf, Saeed
1 Ashyralyev, Allaberen
1 Askes, Harm
1 Attarnejad, Reza
...and 575 more Authors

Publications by Year

Citations contained in zbMATH Open

198 Publications have been cited 1,340 times in 1,121 Documents Cited by Year
Space-time finite element computation of arterial fluid-structure interactions with patient-specific data. Zbl 1180.92023
Takizawa, Kenji; Christopher, Jason; Tezduyar, Tayfun E.; Sathe, Sunil
65
2010
Numerical simulation of a thermodynamically consistent four-species tumor growth model. Zbl 1242.92030
Hawkins-Daarud, Andrea; van der Zee, Kristoffer G.; Oden, J. Tinsley
58
2012
Space-time fluid-structure interaction modeling of patient-specific cerebral aneurysms. Zbl 1244.92036
Tezduyar, Tayfun E.; Takizawa, Kenji; Brummer, Tyler; Chen, Peng R.
49
2011
The use of He’s variational iteration method for solving the telegraph and fractional telegraph equations. Zbl 1210.65173
Dehghan, Mehdi; Yousefi, S. A.; Lotfi, A.
47
2011
Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms. Zbl 1183.92050
Torii, Ryo; Oshima, Marie; Kobayashi, Toshio; Takagi, Kiyoshi; Tezduyar, Tayfun E.
37
2010
Adaptive analysis using the node-based smoothed finite element method (NS-FEM). Zbl 1370.74144
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C.
37
2011
An \(n\)-sided polygonal edge-based smoothed finite element method (\(n\)ES-FEM) for solid mechanics. Zbl 1248.74043
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.
34
2011
Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. Zbl 1243.92017
Griffith, Boyce E.
33
2012
Performance of a high-continuity finite element in three-dimensional elasticity. Zbl 1426.74282
Bilotta, Antonio; Formica, Giovanni; Turco, Emilio
30
2010
Coupling strategies for biomedical fluid-structure interaction problems. Zbl 1183.92008
Küttler, U.; Gee, M.; Förster, Ch.; Comerford, A.; Wall, W. A.
30
2010
The method of particular solutions for solving scalar wave equations. Zbl 1208.65153
Wen, P. H.; Chen, C. S.
28
2010
Comparison of high-order absorbing boundary conditions and perfectly matched layers in the frequency domain. Zbl 1201.65160
Rabinovich, Daniel; Givoli, Dan; Bécache, Eliane
27
2010
An active strain electromechanical model for cardiac tissue. Zbl 1242.92016
Nobile, F.; Quarteroni, A.; Ruiz-Baier, R.
26
2012
Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He’s variational iteration technique. Zbl 1192.65158
Dehghan, Mehdi; Shakeri, Fatemeh
26
2010
Assessment of smoothed point interpolation methods for elastic mechanics. Zbl 1323.74080
Chen, L.; Nguyen-Xuan, H.; Nguyen-Thoi, T.; Zeng, K. Y.; Wu, S. C.
23
2010
Computational modeling of passive myocardium. Zbl 1207.92006
Göktepe, S.; Acharya, S. N. S.; Wong, J.; Kuhl, E.
19
2011
A computational method for identifying a spacewise-dependent heat source. Zbl 1190.65145
Yan, Liang; Fu, Chu-Li; Dou, Fang-Fang
19
2010
A regularization framework for damage-plasticity models via gradient enhancement of the free energy. Zbl 1358.74050
Dimitrijevic, B. J.; Hackl, K.
17
2011
Variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations. Zbl 1185.65193
Yıldırım, Ahmet
16
2010
Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019
Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F.
16
2012
Simulation of fluid-structure interaction with the interface artificial compressibility method. Zbl 1406.74193
Degroote, Joris; Swillens, Abigail; Bruggeman, Peter; Haelterman, Robby; Segers, Patrick; Vierendeels, Jan
14
2010
Computational model of whole blood exhibiting lateral platelet motion induced by red blood cells. Zbl 1183.92022
Crowl, Lindsay M.; Fogelson, Aaron L.
14
2010
Pseudospectral methods for Nagumo equation. Zbl 1218.65111
Dehghan, Mehdi; Fakhar-Izadi, Farhad
14
2011
A novel formulation for Neumann inflow boundary conditions in biomechanics. Zbl 1243.92016
Gravemeier, Volker; Comerford, Andrew; Yoshihara, Lena; Ismail, Mahmoud; Wall, Wolfgang A.
13
2012
Application of the homotopy perturbation method for the Fokker – Planck equation. Zbl 1200.65085
Yıldırım, Ahmet
13
2010
Fast numerical solutions of patient-specific blood flows in 3D arterial systems. Zbl 1180.92022
Mut, Fernando; Aubry, Romain; Löhner, Rainald; Cebral, Juan R.
13
2010
An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations. Zbl 1429.35184
Du, Juan; Zhu, Jiang; Luo, Zhendong; Navon, I. M.
13
2011
Computational modeling of electrocardiograms: a finite element approach toward cardiac excitation. Zbl 1187.92062
Kotikanyadanam, M.; Göktepe, S.; Kuhl, E.
13
2010
A computational strategy for prestressing patient-specific biomechanical problems under finite deformation. Zbl 1180.92009
Gee, M. W.; Förster, Ch.; Wall, W. A.
12
2010
Investigation of regularized techniques for boundary knot method. Zbl 1208.65173
Wang, Fuzhang; Chen, Wen; Jiang, Xinrong
12
2010
Modeling and simulation of bioheat transfer in the human eye using the 3D alpha finite element method (\(\alpha\)FEM). Zbl 1193.92061
Li, Eric; Liu, G. R.; Tan, Vincent; He, Z. C.
12
2010
Coupled electromechanical model of the heart: Parallel finite element formulation. Zbl 1242.92015
Lafortune, Pierre; Arís, Ruth; Vázquez, Mariano; Houzeaux, Guillaume
11
2012
Real-time simulation of surgery by reduced-order modeling and X-FEM techniques. Zbl 1243.92032
Niroomandi, S.; Alfaro, I.; González, D.; Cueto, E.; Chinesta, F.
11
2012
A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation. Zbl 1222.65097
Sari, Murat; Gürarslan, Gürhan
11
2011
Remarks on some properties of conic yield restrictions in limit analysis. Zbl 1397.74161
Makrodimopoulos, Athanasios
11
2010
High-order absorbing boundary conditions incorporated in a spectral element formulation. Zbl 1201.78015
Kucherov, Leonid; Givoli, Dan
10
2010
Nonlinear quasi-static finite element formulations for viscoelastic Euler – Bernoulli and Timoshenko beams. Zbl 1428.74127
Payette, G. S.; Reddy, J. N.
10
2010
Reduced-order modelling for solving linear and non-linear equations. Zbl 1210.65159
Verdon, N.; Allery, C.; Béghein, C.; Hamdouni, A.; Ryckelynck, D.
10
2011
Assessing the influence of heart rate in local hemodynamics through coupled 3D-1D-0D models. Zbl 1193.92027
Blanco, P. J.; Urquiza, S. A.; Feijóo, R. A.
10
2010
The significant effect of the choice of ionic current integration method in cardiac electro-physiological simulations. Zbl 1242.92017
Pathmanathan, Pras; Mirams, Gary R.; Southern, James; Whiteley, Jonathan P.
9
2011
An adaptive dynamic relaxation method for solving nonlinear finite element problems. Application to brain shift estimation. Zbl 1370.65054
Joldes, Grand Roman; Wittek, Adam; Miller, Karol
9
2011
A meshless total Lagrangian explicit dynamics algorithm for surgical simulation. Zbl 1193.92056
Horton, Ashley; Wittek, Adam; Joldes, Grand Roman; Miller, Karol
9
2010
Fluid-structure interaction simulations of the Fontan procedure using variable wall properties. Zbl 1451.92006
Long, C. C.; Hsu, M-C.; Bazilevs, Y.; Feinstein, J. A.; Marsden, A. L.
8
2012
Free vibration analysis of Timoshenko beams by DSC method. Zbl 1428.74119
Civalek, Ömer; Kiracioglu, Okyay
8
2010
A compact locally one-dimensional finite difference method for nonhomogeneous parabolic differential equations. Zbl 1210.65158
Qin, Jinggang; Wang, Tongke
8
2011
Towards a comprehensive computational model for the respiratory system. Zbl 1193.92068
Wall, Wolfgang A.; Wiechert, Lena; Comerford, Andrew; Rausch, Sophie
8
2010
Discrepancies of energy values in dynamics of three intersecting plates. Zbl 1426.74212
Chróścielewski, J.; Witkowski, W.
7
2010
A three-dimensional particle simulation of the formation and collapse of a primary thrombus. Zbl 1183.92047
Kamada, Hiroki; Tsubota, Ken-ichi; Nakamura, Masanori; Wada, Shigeo; Ishikawa, Takuji; Yamaguchi, Takami
7
2010
Magnetohydrodynamic biorheological transport phenomena in a porous medium: A simulation of magnetic blood flow control and filtration. Zbl 1217.92019
Rashidi, M. M.; Keimanesh, M.; Bég, O. Anwar; Hung, T. K.
7
2011
Clinical application of image-based CFD for cerebral aneurysms. Zbl 1219.92035
Cebral, J. R.; Mut, F.; Sforza, D.; Löhner, R.; Scrivano, E.; Lylyk, P.; Putman, C.
7
2011
The use of variational iteration method and Adomian decomposition method to solve the eikonal equation and its application in the reconstruction problem. Zbl 1218.65112
Dehghan, Mehdi; Salehi, Rezvan
7
2011
Numerical solutions of linear and nonlinear diffusion equations by a differential quadrature method (DQM). Zbl 1210.65175
Gürarslan, Gürhan; Sari, Murat
7
2011
The challenge of mass conservation in the solution of free-surface flows with the fractional-step method: problems and solutions. Zbl 1274.76191
Idelsohn, Sergio R.; Oñate, Eugenio
6
2010
Uniformly convergent numerical method for singularly perturbed differential-difference equation using grid equidistribution. Zbl 1229.65132
Mohapatra, Jugal; Natesan, Srinivasan
6
2011
‘Moment of fluid’ interface reconstruction method in axisymmetric coordinates. Zbl 05991327
Anbarlooei, H. R.; Mazaheri, K.
6
2011
Improving preconditioned SOR-type iterative methods for \(L\)-matrices. Zbl 1228.65042
Dehghan, Mehdi; Hajarian, Masoud
6
2011
Pseudo-time-coupled nonlinear models for biomolecular surface representation and solvation analysis. Zbl 1241.92007
Zhao, Shan
6
2011
Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows. Zbl 1452.76287
Malossi, A. Cristiano I.; Blanco, Pablo J.; Deparis, Simone; Quarteroni, Alfio
6
2011
High-order three-dimensional discontinuous deformation analysis (3-D DDA). Zbl 1323.74102
Beyabanaki, S. Amir Reza; Jafari, Ahmad; Yeung, M. Ronald
6
2010
A solver combining reduced basis and convergence acceleration with applications to non-linear elasticity. Zbl 1323.74103
Cadou, J. M.; Potier-Ferry, M.
6
2010
Variant of the Thomas algorithm for opposite-bordered tridiagonal systems of equations. Zbl 1192.65035
Martin, Alexandre; Boyd, Iain D.
6
2010
Quality meshing based on STL triangulations for biomedical simulations. Zbl 1197.92031
Marchandise, E.; Compère, G.; Willemet, M.; Bricteux, G.; Geuzaine, C.; Remacle, J.-F.
6
2010
On the segmentation of vascular geometries from medical images. Zbl 1180.94016
Radaelli, A. G.; Peiró, J.
5
2010
Fluid-structure interaction methods in biological flows with special emphasis on heart valve dynamics. Zbl 1183.92023
Vigmostad, Sarah C.; Udaykumar, Holavanahalli S.; Lu, Jia; Chandran, Krishnan B.
5
2010
Factorized parallel preconditioner for the saddle point problem. Zbl 1228.65046
Lazarov, B. S.; Sigmund, O.
5
2011
Patient-specific blood flow simulation through an aneurysmal thoracic aorta with a folded proximal neck. Zbl 1229.92045
Bevan, R. L. T.; Sazonov, Igor; Saksono, Prihambodo H.; Nithiarasu, Perumal; van Loon, Raoul; Luckraz, Heyman; Ashraf, Saeed
5
2011
New algorithm for solving a nonlinear hyperbolic telegraph equation with an integral condition. Zbl 1232.65135
Yao, Huanmin; Lin, Yingzhen
5
2011
Fluid - solid coupling for the investigation of diastolic and systolic human left ventricular function. Zbl 1219.92046
Nordsletten, D.; McCormick, M.; Kilner, P. J.; Hunter, P.; Kay, D.; Smith, N. P.
5
2011
Modelling pipeline for subject-specific arterial blood flow - a review. Zbl 1241.92018
Sazonov, Igor; Yeo, Si Yong; Bevan, Rhodri L. T.; Xie, Xianghua; Van Loon, Raoul; Nithiarasu, Perumal
5
2011
Biomolecular surface construction by PDE transform. Zbl 1244.92024
Zheng, Qiong; Yang, Siyang; Wei, Guo-Wei
5
2012
Effect of induced magnetic field on peristaltic flow of a micropolar fluid in an asymmetric channel. Zbl 1397.92147
Shit, G. C.; Roy, M.; Ng, E. Y. K.
5
2010
Eigensolution of rotationally repetitive space structures using a canonical form. Zbl 1431.74053
Kaveh, A.; Nemati, F.
5
2010
A finite element formulation of Mindlin plates for limit analysis. Zbl 1429.74068
Capsoni, A.; da Silva, M. Vicente
5
2011
A discrete geometric conservation law (DGCL) for a cell vertex finite-volume algorithm on moving domains. Zbl 1351.76107
Gil, A. J.; Bonet, J.; Silla, J.; Hassan, O.
5
2010
A discontinuous finite element method for elasto-plasticity. Zbl 1351.74082
Hansbo, Peter
5
2010
Topological flow structures and stir mixing for steady flow in a peripheral bypass graft with uncertainty. Zbl 1193.92055
Gambaruto, Alberto M.; Moura, Alexandra; Sequeira, Adélia
5
2010
Vibration analysis for elastic multi-beam structures by the \(C^0\)-continuous time-stepping finite element method. Zbl 1310.74045
Lai, Junjiang; Huang, Jianguo; Shi, Zhongci
4
2010
Fluid-structure interactions of the mitral valve and left heart: Comprehensive strategies, past, present and future. Zbl 1183.92043
Einstein, Daniel R.; Del Pin, Facundo; Jiao, Xiangmin; Kuprat, Andrew P.; Carson, James P.; Kunzelman, Karyn S.; Cochran, Richard P.; Guccione, Julius M.; Ratcliffe, Mark B.
4
2010
An implicit LU-SGS spectral volume method for the moment models in device simulations: formulation in 1D and application to a p-multigrid algorithm. Zbl 1252.82112
Kannan, Ravishekar
4
2011
Basic displacement functions for centrifugally stiffened tapered beams. Zbl 1300.74021
Attarnejad, Reza; Shahba, Ahmad
4
2011
An implicit LU-SGS spectral volume method for moment models in device simulations. II: Accuracy studies and performance enhancements using the penalty and BR2 formulations. Zbl 1222.65098
Kannan, Ravishekar
4
2011
Preconditioned modified AOR method for systems of linear equations. Zbl 1226.65023
Darvishi, M. T.; Hessari, P.; Shin, Byeong-Chun
4
2011
The usage of wave polynomials in solving direct and inverse problems for two-dimensional wave equation. Zbl 1222.65104
Maciąg, A.
4
2011
Numerical study on peristaltic flow of generalized Burgers fluids in uniform tubes in the presence of an endoscope. Zbl 1409.76153
Tripathi, Dharmendra
4
2011
A massively parallel computational electrophysiology model of the heart. Zbl 1241.92016
Vázquez, M.; Arís, R.; Houzeaux, G.; Aubry, R.; Villar, P.; Garcia-Barnés, J.; Gil, D.; Carreras, F.
4
2011
Partial differential equation transform – variational formulation and Fourier analysis. Zbl 1254.94012
Wang, Yang; Wei, Guo-Wei; Yang, Siyang
4
2011
Signal transduction in a compliant short loop of Henle. Zbl 1243.92010
Layton, Anita T.; Pham, Philip; Ryu, Hwayeon
4
2012
An explicit numerical scheme for the modified Burgers’ equation. Zbl 1210.65151
Bratsos, A. G.; Petrakis, L. A.
4
2011
Application of the variational Germano identity to the variational multiscale formulation. Zbl 1210.65128
Oberai, A. A.; Sondak, D.
4
2011
On the modified Crank-Nicolson difference schemes for parabolic equation with non-smooth data arising in biomechanics. Zbl 1198.65160
Ashyralyev, Allaberen; Erdogan, Abdullah Said; Arslan, Nurullah
4
2010
Application of Gegenbauer polynomial expansions to mitigate Gibbs phenomenon in Fourier-Bessel series solutions of a dynamic sphere problem. Zbl 1274.74179
Kamm, James R.; Williams, Todd O.; Brock, Jerry S.; Li, Shengtai
3
2010
Quantum dynamics in continuum for proton transport. II: Variational solvent-solute interface. Zbl 1319.92064
Chen, Duan; Chen, Zhan; Wei, Guo-Wei
3
2012
Modelling brain deformations for computer-integrated neurosurgery. Zbl 1180.92042
Miller, K.; Wittek, A.; Joldes, G.; Horton, A.; Dutta-Roy, T.; Berger, J.; Morriss, L.
3
2010
Effects of flow vortex on a chorded mitral valve in the left ventricle. Zbl 1183.92024
Yin, M.; Luo, X. Y.; Wang, T. J.; Watton, P. N.
3
2010
Comparison of finite element method based on nodal displacement and absolute nodal coordinate formulation (ANCF) in thin shell analysis. Zbl 1242.74163
Sereshk, Mohammadreza Vaziri; Salimi, Mahmoud
3
2011
High-order finite difference schemes for the solution of the generalized Burgers-Fisher equation. Zbl 1231.65146
Sari, Murat; Gürarslan, Gürhan; Zeytinoğlu, Asuman
3
2011
Modeling of reinforced concrete through SPH-FE coupling and its application to the simulation of a projectile’s impact onto a slab. Zbl 1387.74129
Caleyron, F.; Chuzel-Marmot, Y.; Combescure, A.
3
2011
Investigation of the role of diffusivity on spreading, rate, and merging of the bell-shaped waves in slow axonal transport. Zbl 1219.92010
Kuznetsov, A. V.; Avramenko, A. A.; Blinov, D. G.
3
2011
Modelling left ventricular function under assist device support. Zbl 1219.92045
McCormick, M.; Nordsletten, D.; Kay, D.; Smith, N.
3
2011
Multiscale prediction of crack density and crack length accumulation in trabecular bone based on neural networks and finite element simulation. Zbl 1215.92004
Hambli, Ridha
3
2011
Numerical simulation of a thermodynamically consistent four-species tumor growth model. Zbl 1242.92030
Hawkins-Daarud, Andrea; van der Zee, Kristoffer G.; Oden, J. Tinsley
58
2012
Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. Zbl 1243.92017
Griffith, Boyce E.
33
2012
An active strain electromechanical model for cardiac tissue. Zbl 1242.92016
Nobile, F.; Quarteroni, A.; Ruiz-Baier, R.
26
2012
Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019
Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F.
16
2012
A novel formulation for Neumann inflow boundary conditions in biomechanics. Zbl 1243.92016
Gravemeier, Volker; Comerford, Andrew; Yoshihara, Lena; Ismail, Mahmoud; Wall, Wolfgang A.
13
2012
Coupled electromechanical model of the heart: Parallel finite element formulation. Zbl 1242.92015
Lafortune, Pierre; Arís, Ruth; Vázquez, Mariano; Houzeaux, Guillaume
11
2012
Real-time simulation of surgery by reduced-order modeling and X-FEM techniques. Zbl 1243.92032
Niroomandi, S.; Alfaro, I.; González, D.; Cueto, E.; Chinesta, F.
11
2012
Fluid-structure interaction simulations of the Fontan procedure using variable wall properties. Zbl 1451.92006
Long, C. C.; Hsu, M-C.; Bazilevs, Y.; Feinstein, J. A.; Marsden, A. L.
8
2012
Biomolecular surface construction by PDE transform. Zbl 1244.92024
Zheng, Qiong; Yang, Siyang; Wei, Guo-Wei
5
2012
Signal transduction in a compliant short loop of Henle. Zbl 1243.92010
Layton, Anita T.; Pham, Philip; Ryu, Hwayeon
4
2012
Quantum dynamics in continuum for proton transport. II: Variational solvent-solute interface. Zbl 1319.92064
Chen, Duan; Chen, Zhan; Wei, Guo-Wei
3
2012
A localized meshless approach for modeling spatial-temporal calcium dynamics in ventricular myocytes. Zbl 1243.92038
Yao, Guangming; Yu, Zeyun
3
2012
Axisymmetric multicomponent vesicles: a comparison of hydrodynamic and geometric models. Zbl 1310.92018
Sohn, Jinsun; Li, Shuwang; Li, Xiaofan; Lowengrub, John S.
3
2012
A continuum description of the damage process in the arterial wall of abdominal aortic aneurysms. Zbl 1242.92032
Marini, Giacomo; Maier, Andreas; Reeps, Christian; Eckstein, Hans-Henning; Wall, Wolfgang A.; Gee, Michael W.
1
2012
Computational model of soft tissues in the human upper airway. Zbl 1244.92013
Pelteret, J-P. V.; Reddy, B. D.
1
2012
A methodology for determining optimal thermal damage in magnetic nanoparticle hyperthermia cancer treatment. Zbl 1243.92030
Mital, Manu; Tafreshi, Hooman V.
1
2012
Numerical simulation of red blood cell behavior in a stenosed arteriole using the immersed boundary-lattice Boltzmann method. Zbl 1243.92036
Vahidkhah, Koohyar; Fatouraee, Nasser
1
2012
Space-time fluid-structure interaction modeling of patient-specific cerebral aneurysms. Zbl 1244.92036
Tezduyar, Tayfun E.; Takizawa, Kenji; Brummer, Tyler; Chen, Peng R.
49
2011
The use of He’s variational iteration method for solving the telegraph and fractional telegraph equations. Zbl 1210.65173
Dehghan, Mehdi; Yousefi, S. A.; Lotfi, A.
47
2011
Adaptive analysis using the node-based smoothed finite element method (NS-FEM). Zbl 1370.74144
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C.
37
2011
An \(n\)-sided polygonal edge-based smoothed finite element method (\(n\)ES-FEM) for solid mechanics. Zbl 1248.74043
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.
34
2011
Computational modeling of passive myocardium. Zbl 1207.92006
Göktepe, S.; Acharya, S. N. S.; Wong, J.; Kuhl, E.
19
2011
A regularization framework for damage-plasticity models via gradient enhancement of the free energy. Zbl 1358.74050
Dimitrijevic, B. J.; Hackl, K.
17
2011
Pseudospectral methods for Nagumo equation. Zbl 1218.65111
Dehghan, Mehdi; Fakhar-Izadi, Farhad
14
2011
An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations. Zbl 1429.35184
Du, Juan; Zhu, Jiang; Luo, Zhendong; Navon, I. M.
13
2011
A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation. Zbl 1222.65097
Sari, Murat; Gürarslan, Gürhan
11
2011
Reduced-order modelling for solving linear and non-linear equations. Zbl 1210.65159
Verdon, N.; Allery, C.; Béghein, C.; Hamdouni, A.; Ryckelynck, D.
10
2011
The significant effect of the choice of ionic current integration method in cardiac electro-physiological simulations. Zbl 1242.92017
Pathmanathan, Pras; Mirams, Gary R.; Southern, James; Whiteley, Jonathan P.
9
2011
An adaptive dynamic relaxation method for solving nonlinear finite element problems. Application to brain shift estimation. Zbl 1370.65054
Joldes, Grand Roman; Wittek, Adam; Miller, Karol
9
2011
A compact locally one-dimensional finite difference method for nonhomogeneous parabolic differential equations. Zbl 1210.65158
Qin, Jinggang; Wang, Tongke
8
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Magnetohydrodynamic biorheological transport phenomena in a porous medium: A simulation of magnetic blood flow control and filtration. Zbl 1217.92019
Rashidi, M. M.; Keimanesh, M.; Bég, O. Anwar; Hung, T. K.
7
2011
Clinical application of image-based CFD for cerebral aneurysms. Zbl 1219.92035
Cebral, J. R.; Mut, F.; Sforza, D.; Löhner, R.; Scrivano, E.; Lylyk, P.; Putman, C.
7
2011
The use of variational iteration method and Adomian decomposition method to solve the eikonal equation and its application in the reconstruction problem. Zbl 1218.65112
Dehghan, Mehdi; Salehi, Rezvan
7
2011
Numerical solutions of linear and nonlinear diffusion equations by a differential quadrature method (DQM). Zbl 1210.65175
Gürarslan, Gürhan; Sari, Murat
7
2011
Uniformly convergent numerical method for singularly perturbed differential-difference equation using grid equidistribution. Zbl 1229.65132
Mohapatra, Jugal; Natesan, Srinivasan
6
2011
‘Moment of fluid’ interface reconstruction method in axisymmetric coordinates. Zbl 05991327
Anbarlooei, H. R.; Mazaheri, K.
6
2011
Improving preconditioned SOR-type iterative methods for \(L\)-matrices. Zbl 1228.65042
Dehghan, Mehdi; Hajarian, Masoud
6
2011
Pseudo-time-coupled nonlinear models for biomolecular surface representation and solvation analysis. Zbl 1241.92007
Zhao, Shan
6
2011
Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows. Zbl 1452.76287
Malossi, A. Cristiano I.; Blanco, Pablo J.; Deparis, Simone; Quarteroni, Alfio
6
2011
Factorized parallel preconditioner for the saddle point problem. Zbl 1228.65046
Lazarov, B. S.; Sigmund, O.
5
2011
Patient-specific blood flow simulation through an aneurysmal thoracic aorta with a folded proximal neck. Zbl 1229.92045
Bevan, R. L. T.; Sazonov, Igor; Saksono, Prihambodo H.; Nithiarasu, Perumal; van Loon, Raoul; Luckraz, Heyman; Ashraf, Saeed
5
2011
New algorithm for solving a nonlinear hyperbolic telegraph equation with an integral condition. Zbl 1232.65135
Yao, Huanmin; Lin, Yingzhen
5
2011
Fluid - solid coupling for the investigation of diastolic and systolic human left ventricular function. Zbl 1219.92046
Nordsletten, D.; McCormick, M.; Kilner, P. J.; Hunter, P.; Kay, D.; Smith, N. P.
5
2011
Modelling pipeline for subject-specific arterial blood flow - a review. Zbl 1241.92018
Sazonov, Igor; Yeo, Si Yong; Bevan, Rhodri L. T.; Xie, Xianghua; Van Loon, Raoul; Nithiarasu, Perumal
5
2011
A finite element formulation of Mindlin plates for limit analysis. Zbl 1429.74068
Capsoni, A.; da Silva, M. Vicente
5
2011
An implicit LU-SGS spectral volume method for the moment models in device simulations: formulation in 1D and application to a p-multigrid algorithm. Zbl 1252.82112
Kannan, Ravishekar
4
2011
Basic displacement functions for centrifugally stiffened tapered beams. Zbl 1300.74021
Attarnejad, Reza; Shahba, Ahmad
4
2011
An implicit LU-SGS spectral volume method for moment models in device simulations. II: Accuracy studies and performance enhancements using the penalty and BR2 formulations. Zbl 1222.65098
Kannan, Ravishekar
4
2011
Preconditioned modified AOR method for systems of linear equations. Zbl 1226.65023
Darvishi, M. T.; Hessari, P.; Shin, Byeong-Chun
4
2011
The usage of wave polynomials in solving direct and inverse problems for two-dimensional wave equation. Zbl 1222.65104
Maciąg, A.
4
2011
Numerical study on peristaltic flow of generalized Burgers fluids in uniform tubes in the presence of an endoscope. Zbl 1409.76153
Tripathi, Dharmendra
4
2011
A massively parallel computational electrophysiology model of the heart. Zbl 1241.92016
Vázquez, M.; Arís, R.; Houzeaux, G.; Aubry, R.; Villar, P.; Garcia-Barnés, J.; Gil, D.; Carreras, F.
4
2011
Partial differential equation transform – variational formulation and Fourier analysis. Zbl 1254.94012
Wang, Yang; Wei, Guo-Wei; Yang, Siyang
4
2011
An explicit numerical scheme for the modified Burgers’ equation. Zbl 1210.65151
Bratsos, A. G.; Petrakis, L. A.
4
2011
Application of the variational Germano identity to the variational multiscale formulation. Zbl 1210.65128
Oberai, A. A.; Sondak, D.
4
2011
Comparison of finite element method based on nodal displacement and absolute nodal coordinate formulation (ANCF) in thin shell analysis. Zbl 1242.74163
Sereshk, Mohammadreza Vaziri; Salimi, Mahmoud
3
2011
High-order finite difference schemes for the solution of the generalized Burgers-Fisher equation. Zbl 1231.65146
Sari, Murat; Gürarslan, Gürhan; Zeytinoğlu, Asuman
3
2011
Modeling of reinforced concrete through SPH-FE coupling and its application to the simulation of a projectile’s impact onto a slab. Zbl 1387.74129
Caleyron, F.; Chuzel-Marmot, Y.; Combescure, A.
3
2011
Investigation of the role of diffusivity on spreading, rate, and merging of the bell-shaped waves in slow axonal transport. Zbl 1219.92010
Kuznetsov, A. V.; Avramenko, A. A.; Blinov, D. G.
3
2011
Modelling left ventricular function under assist device support. Zbl 1219.92045
McCormick, M.; Nordsletten, D.; Kay, D.; Smith, N.
3
2011
Multiscale prediction of crack density and crack length accumulation in trabecular bone based on neural networks and finite element simulation. Zbl 1215.92004
Hambli, Ridha
3
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Efficient local formulation for elasto-plastic corotational thin-walled beams. Zbl 1432.74105
Alsafadie, Rabe; Battini, Jean-Marc; Hjiaj, Mohammed
3
2011
Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body. Zbl 1219.80040
Fachinotti, Víctor D.; Anca, Andrés Amílcar; Cardona, Alberto
3
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A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles. Zbl 1242.92008
Flynn, Cormac; Rubin, M. B.; Nielsen, Poul
3
2011
Employing graphics processing unit technology, alternating direction implicit method and domain decomposition to speed up the numerical diffusion solver for the biomedical engineering research. Zbl 1242.92002
Jiang, Beini; Struthers, Allan; Sun, Zhe; Feng, Zhuo; Zhao, Xuqian; Zhao, Kaiyong; Dai, Weizhong; Zhou, Xiaobo; Berens, Michael E.; Zhang, Le
3
2011
Modeling a semi-flexible filament in cellular Stokes flow using regularized Stokeslets. Zbl 1385.76008
Bouzarth, Elizabeth L.; Layton, Anita T.; Young, Yuan-Nan
3
2011
Free vibration of the nonlinear pendulum using hybrid Laplace Adomian decomposition method. Zbl 1370.70025
Tsai, Pa-Yee; Chen, Cha’o-Kuang
3
2011
A new efficient technique for finding the solution of initial-value problems using He’s variational iteration method. Zbl 1228.65110
Tatari, Mehdi
2
2011
A finite-volume method for solids with a rotational degrees of freedom based on the 6-node triangle. Zbl 1300.74054
Pan, Wenke; Wheel, Marcus
2
2011
Numerical method for determination of the optimal lot size for a manufacturing system with discontinuous issuing policy and rework. Zbl 1229.90009
Chiu, Singa Wang; Chen, Kuang-Ku; Lin, Hong-Dar
2
2011
On some cubic convergence iterative formulae without derivatives for solving nonlinear equations. Zbl 1227.65042
Dehghan, Mehdi; Hajarian, Masoud
2
2011
A hybrid-Trefftz formulation for plane elasticity with selective enrichment of the approximations. Zbl 1387.74120
de Souza, Charlton Okama; Proença, Sergio Persival Baroncini
2
2011
Coupled hard-soft tissue simulation with contact and constraints applied to jaw-tongue-hyoid dynamics. Zbl 1208.92006
Stavness, Ian; Lloyd, John E.; Payan, Yohan; Fels, Sidney
2
2011
Effects of natural convection within the anterior chamber on the ocular heat transfer. Zbl 1208.92018
Ooi, E. H.; Ng, E. Y. K.
2
2011
A computationally efficient method for assessing muscle function during human locomotion. Zbl 1208.92005
Lin, Yi-Chung; Kim, Hyung Joo; Pandy, Marcus G.
2
2011
High definition local adjustment model of 3D wind fields performing only 2D computations. Zbl 1464.86003
Ferragut, L.; Asensio, M. I.; Simon, J.
2
2011
Numerical solution of the system of nonlinear ordinary differential equations arising in kinetic modeling of lactic acid fermentation and epidemic model. Zbl 1215.92022
Kelleci, Alev; Yıldırım, Ahmet
2
2011
Application-specific error control for parameter identification problems. Zbl 05911716
Johansson, Håkan; Larsson, Fredrik; Runesson, Kenneth
2
2011
Iterative operator splitting method for capillary formation model in tumor angiogenesis problem: Analysis and application. Zbl 1242.92029
Gücüyenen, Nurcan; Tanoğlu, Gamze
2
2011
Laminar-to-turbulent fluid – nanoparticle dynamics simulations: Model comparisons and nanoparticle-deposition applications. Zbl 1426.76177
Zhang, Zhe; Kleinstreuer, Clement
2
2011
Thermal stratification and suction/injection effects on flow and heat transfer of micropolar fluid due to stretching cylinder. Zbl 1410.76015
Mansour, M. A.; Mohamed, R. A.; Abd-Elaziz, M. M.; Ahmed, Sameh E.
2
2011
Computational exploration of disinfection of bacterial biofilms in partially blocked channels. Zbl 1241.92017
Cogan, N. G.
2
2011
Exact solutions for some systems of PDEs by He’s homotopy perturbation method. Zbl 1210.65174
Ghanmi, Imed; Khiari, Noomen; Omrani, Khaled
2
2011
Modified active contour model and random walk approach for left ventricular cardiac MR image segmentation. Zbl 1226.92047
Dakua, Sarada Prasad; Sahambi, J. S.
1
2011
Nonstandard numerical schemes for modeling a 2-DOF serial robot with rotational spring-damper-actuators. Zbl 1358.70002
Díaz-Rodríguez, Miguel; González-Parra, Gilberto; Arenas, Abraham J.
1
2011
Acceleration techniques for the iterative resolution of the Richards equation by the finite volume method. Zbl 1358.76047
Bevilacqua, Ivan; Canone, Davide; Ferraris, Stefano
1
2011
Point-cloud method for image-based biomechanical stress analysis. Zbl 1229.92002
Qian, Jing; Lu, Jia
1
2011
Cardiopulmonary model to study interaction hemodynamics in Muller maneuver. Zbl 1229.92048
Hemalatha, K.; Manivannan, M.
1
2011
Reduced-order precise integration methods for structural dynamic equations. Zbl 1358.74075
Wang, Meng-Fu
1
2011
A new finite element analysis of free axial vibration of cracked bars. Zbl 1358.74064
Ranjbaran, A.; Shokrzadeh, A. R.; Khosravi, S.
1
2011
DTM and DQEM for free vibration of axially loaded and semi-rigid-connected Reddy-Bickford beam. Zbl 1387.74057
Yesilce, Yusuf
1
2011
A direct algebraic method to calculate the sensitivity of element modal strain energy. Zbl 1387.74128
Yan, Wang-Ji; Ren, Wei-Xin
1
2011
Finite volume simulation of waves formed by sliding masses. Zbl 1387.76065
Delis, A. I.; Kazolea, M.
1
2011
A functional network to predict fresh and hardened properties of self-compacting concretes. Zbl 1221.68203
Tomasiello, Stefania
1
2011
Non-local implicit gradient damage models with low-order finite elements. Zbl 1387.74104
Bui, Q. V.; Lani, F.
1
2011
Simulation of blood flow in deformable vessels using subject-specific geometry and spatially varying wall properties. Zbl 1219.92015
Xiong, Guanglei; Figueroa, C. Alberto; Xiao, Nan; Taylor, Charles A.
1
2011
Investigation of brain contusion mechanism and threshold by combining finite element analysis with in vivo histology data. Zbl 1208.92014
Mao, Haojie; Yang, King H.
1
2011
A quantitative description of active force generation in gastrointestinal smooth muscle. Zbl 1208.92019
Gajendiran, Viveka; Buist, Martin L.
1
2011
The differential quadrature solution of nonlinear reaction-diffusion and wave equations using several time-integration schemes. Zbl 1218.65083
Meral, Gülnihal; Tezer-Sezgin, M.
1
2011
The construction of finite element multiwavelets for adaptive structural analysis. Zbl 1432.74210
Wang, Youming; Chen, Xuefeng; He, Yumin; He, Zhengjia
1
2011
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Cited by 2,076 Authors

46 Tezduyar, Tayfun E.
44 Takizawa, Kenji
35 Dehghan Takht Fooladi, Mehdi
27 Bazilevs, Yuri
24 Liu, Gui-Rong
16 Hsu, Ming-Chen
16 Yıldırım, Ahmet
15 Quarteroni, Alfio M.
15 Turco, Emilio
15 Wall, Wolfgang A.
13 Nguyen-Thoi, Trung
11 Givoli, Dan
11 Joldes, Grand Roman
10 Dumbser, Michael
10 Kuhl, Ellen
10 Nguyen-Xuan, Hung
10 Phung-Van, P.
10 Rocca, Elisabetta
10 Ruiz-Baier, Ricardo
9 Göktepe, Serdar
9 Griffith, Boyce E.
9 Kostov, Nikolay A.
9 Marsden, Alison L.
9 Miller, Karol
9 Wittek, Adam
8 Bonet, Javier
8 Bordas, Stéphane Pierre Alain
8 Chen, Wen
8 Garcke, Harald
8 Gil, Antonio J.
8 Lam, Kei Fong
8 Luo, Zhendong
8 Saadatmandi, Abbas
8 Wei, Guowei
8 Yang, Fan
7 Allery, Cyrille
7 Bhalla, Amneet Pal Singh
7 Chen, Lei
7 Fu, Chuli
7 Hagstrom, Thomas M.
7 Kaveh, Ali
7 Lakestani, Mehrdad
7 Li, Eric
7 Mittal, Ramesh Chand
7 Nithiarasu, Perumal
7 Placidi, Luca
7 Salehi, Rezvan
7 Vergara, Christian
7 Yang, Yongtao
7 Zheng, Hong
6 Bleyer, Jérémy
6 Cadou, Jean-Marc
6 Cazzani, Antonio M.
6 Colli, Pierluigi
6 He, Zhicheng
6 Henicke, Bradley
6 Le Van Canh
6 Oden, John Tinsley
6 Oñate Ibáñez de Navarra, Eugenio
6 Patankar, Neelesh A.
6 Rabinovich, Daniel
6 Rizzi, Nicola Luigi
6 Signori, Andrea
6 Sprekels, Jürgen
6 Wright, Samuel
5 Akgül, Ali
5 Barchiesi, Emilio
5 Bielak, Jacobo
5 Chen, Ching-Shyang
5 Deparis, Simone
5 Gilardi, Gianni
5 Jia, Jiteng
5 Kannan, Ravishekar
5 Lima, Ernesto A. B. F.
5 Long, Christopher C.
5 Lowengrub, John Samuel
5 Luong-Van, H.
5 McIntyre, Spenser
5 Moorman, Creighton
5 Nordsletten, David A.
5 Ortigosa, Rogelio
5 Puntel, Anthony
5 Yao, Guangming
5 Zhao, Shan
4 Bevan, Rhodri L. T.
4 Blanco, Pablo Javier
4 Casulli, Vincenzo
4 Chroscielewski, Jacek
4 de Buhan, Patrick
4 Dede, Luca
4 Ebenbeck, Matthias
4 Gee, Michael W.
4 Girault, G.
4 Gizzi, Alessio
4 Guevel, Y.
4 Hughes, Thomas J. R.
4 Idelsohn, Sergio Rodolfo
4 Inc, Mustafa
4 Kukreja, Vijay Kumar
4 Lee, Chun Hean
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Cited in 172 Journals

113 Computer Methods in Applied Mechanics and Engineering
89 Journal of Computational Physics
78 Computational Mechanics
56 Engineering Analysis with Boundary Elements
46 Applied Mathematics and Computation
45 Applied Mathematical Modelling
42 Computers & Mathematics with Applications
42 International Journal for Numerical Methods in Engineering
32 International Journal for Numerical Methods in Biomedical Engineering
26 Journal of Computational and Applied Mathematics
23 Computers and Fluids
21 Mathematical Problems in Engineering
19 European Journal of Mechanics. A. Solids
18 International Journal of Computational Methods
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 International Journal of Numerical Methods for Heat & Fluid Flow
13 Archives of Computational Methods in Engineering
12 International Journal for Numerical Methods in Fluids
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Applied Numerical Mathematics
11 Numerical Methods for Partial Differential Equations
10 Mathematical Biosciences
10 Mathematical Methods in the Applied Sciences
10 Meccanica
10 Mathematics and Mechanics of Solids
10 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Theoretical Biology
9 Journal of Scientific Computing
9 SIAM Journal on Scientific Computing
8 Bulletin of Mathematical Biology
8 Continuum Mechanics and Thermodynamics
8 Computational and Applied Mathematics
6 Acta Mechanica
6 International Journal of Engineering Science
6 Wave Motion
6 Applied Mathematics and Optimization
6 Abstract and Applied Analysis
5 Journal of Mathematical Chemistry
5 Multibody System Dynamics
5 European Journal of Mechanics. B. Fluids
5 Advances in Difference Equations
5 Inverse Problems in Science and Engineering
5 Acta Mechanica Sinica
5 Computational & Mathematical Methods in Medicine
5 International Journal of Applied and Computational Mathematics
4 Computer Physics Communications
4 Mathematics and Computers in Simulation
4 Mathematical and Computer Modelling
4 Numerical Algorithms
4 Molecular Based Mathematical Biology
3 Journal of Engineering Mathematics
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3 Nonlinearity
3 Applied Mathematics Letters
3 European Journal of Applied Mathematics
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3 Archive of Applied Mechanics
3 Complexity
3 Discrete and Continuous Dynamical Systems
3 Discrete Dynamics in Nature and Society
3 Journal of Applied Mathematics
3 SIAM/ASA Journal on Uncertainty Quantification
2 Journal of Fluid Mechanics
2 Journal of Mathematical Biology
2 Journal of the Mechanics and Physics of Solids
2 Journal of Differential Equations
2 Numerische Mathematik
2 SIAM Journal on Numerical Analysis
2 Multidimensional Systems and Signal Processing
2 Applications of Mathematics
2 Journal of Elasticity
2 Advances in Engineering Software
2 Applied Mathematics. Series B (English Edition)
2 Numerical Linear Algebra with Applications
2 Turkish Journal of Mathematics
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Advances in Computational Mathematics
2 Differential Equations and Dynamical Systems
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Nonlinear Dynamics
2 The ANZIAM Journal
2 Nonlinear Analysis. Real World Applications
2 Journal of Applied Mathematics and Computing
2 Structural and Multidisciplinary Optimization
2 Mathematical Biosciences and Engineering
2 Boundary Value Problems
2 Advances in Mathematical Physics
2 Mathematical Control and Related Fields
2 S\(\vec{\text{e}}\)MA Journal
2 Journal of Mathematics
2 Journal of Mathematical Modeling
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applicable Analysis
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1 Calcolo
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Cited in 38 Fields

580 Numerical analysis (65-XX)
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15 Operations research, mathematical programming (90-XX)
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3 Combinatorics (05-XX)
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