Edit Profile (opens in new tab) Calo, Victor Manuel Compute Distance To: Compute Author ID: calo.victor-manuel Published as: Calo, Victor M.; Calo, V. M.; Calo, Victor; Calo, Victor Manuel more...less Homepage: https://staffportal.curtin.edu.au/staff/profile/view/Victor.Calo External Links: ORCID · Google Scholar · ResearchGate Documents Indexed: 96 Publications since 2006 3 Contributions as Editor Co-Authors: 103 Co-Authors with 99 Joint Publications 1,821 Co-Co-Authors all top 5 Co-Authors 0 single-authored 21 Hughes, Thomas J. R. 21 Pardo, David 16 Bazilevs, Yuri 16 Dalcín, Lisandro D. 14 Deng, Quanling 14 Paszyński, Maciej 8 Efendiev, Yalchin R. 8 Puzyrev, Vladimir 7 Barton, Michael H. 7 Espath, Luis F. R. 6 Galvis, Juan 5 Behnoudfar, Pouria 5 Collier, Nathan 5 Ghommem, Mehdi 5 Sarmiento, A. F. 5 Vignal, Philippe 4 Côrtes, Adriano M. A. 4 Muga, Ignacio 4 Torres-Verdín, Carlos 3 Łoś, Marcin M. 3 Muñoz-Matute, Judit 3 Rojas, Sergio 3 Woźniak, Maciej 2 Ait-Haddou, Rachid 2 Alberdi, Elisabete 2 Collier, Nathaniel O. 2 Cottrell, J. Austin 2 Demkowicz, Leszek F. 2 Ern, Alexandre 2 Gao, Longfei 2 Iliev, Oleg P. 2 Michler, Christian 2 Nam, Myung Jin 2 Niemi, Antti H. 2 Nunes, Suzana P. 2 Poveda, Leonardo A. 2 Printsypar, Galina 2 Reali, Alessandro 2 Scovazzi, Guglielmo 2 Tezduyar, Tayfun E. 2 Varga, B. O. N. 2 Zhang, Yongjie 1 AbouEisha, Hassan 1 Ahn, Hyung Taek 1 Akkerman, Ido 1 Alberdi Celaya, E. 1 Alotaibi, Manal 1 Álvarez-Aramberri, Julen 1 Alvarez, Julen 1 Badia, Santiago 1 Brasher, N. F. 1 Brown, Donald L. 1 Chung, Tsz Shun Eric 1 Cicuttin, Matteo 1 Cier, Roberto J. 1 Clavijo, S. P. 1 Duddu, Ravindra 1 Elguedj, Thomas 1 Evans, John A. 1 Fried, Eliot 1 Gehre, Matthias 1 Ghaffari Motlagh, Yousef 1 Gildin, Eduardo 1 Gopalakrishnan, Jay 1 Hashemian, Ali 1 Hossain, Shaolie S. 1 Hossainy, Syed F. A. 1 Hsu, Ming-Chen 1 Huepo, Sebastian 1 Hulshoff, Steven J. 1 Jin, Bangti 1 Jopek, Konrad 1 Kheriji, Walid 1 Kuźnik, K. 1 Labanda, Nicolás A. 1 Lakdawala, Zahra 1 Lavier, Luc L. 1 Leonard, K. H. L. 1 Leung, Wingtat 1 Li, Guanglian 1 Lipton, S. 1 Loli, Gabriele 1 Matuszyk, Paweł Jerzy 1 Minev, Peter Dimitrov 1 Mora, Angel 1 Moreno, Nicolas 1 Moshkov, Mikhail Ju. 1 Nogueira, Xesús 1 Parsani, Matteo 1 Paszyńska, Anna 1 Presho, Michael 1 Principe, Javier R. 1 Radwan, Hany 1 Sangalli, Giancarlo 1 Santillana, Mauricio 1 Scott, Michael A. 1 Sederberg, Thomas W. 1 Shi, Meixia 1 Skotniczny, Marcin 1 Sun, Shuyu ...and 3 more Co-Authors all top 5 Serials 41 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational and Applied Mathematics 8 Computers & Mathematics with Applications 5 Journal of Computational Physics 5 Computational Mechanics 2 Computers and Fluids 2 International Journal for Numerical Methods in Engineering 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Meccanica 1 Applied Numerical Mathematics 1 Journal of Parallel and Distributed Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 Computing and Informatics 1 Multiscale Modeling & Simulation 1 Communications in Computational Physics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 S\(\vec{\text{e}}\)MA Journal all top 5 Fields 64 Numerical analysis (65-XX) 40 Fluid mechanics (76-XX) 23 Mechanics of deformable solids (74-XX) 19 Partial differential equations (35-XX) 7 Biology and other natural sciences (92-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Computer science (68-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 3,198 times in 1,586 Documents Cited by ▼ Year ▼ Isogeometric analysis using T-splines. Zbl 1227.74123Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W. 412 2010 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Zbl 1169.76352Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Hughes, T. J. R.; Reali, A.; Scovazzi, G. 403 2007 Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y. 361 2008 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Zbl 1161.74020Bazilevs, Y.; Calo, V. M.; Zhang, Y.; Hughes, T. J. R. 278 2006 Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R. 255 2008 Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes. Zbl 1406.76023Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 138 2010 \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements. Zbl 1194.74518Elguedj, T.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R. 133 2008 Improving stability of stabilized and multiscale formulations in flow simulations at small time steps. Zbl 1406.76028Hsu, M.-C.; Bazilevs, Y.; Calo, V. M.; Tezduyar, T. E.; Hughes, T. J. R. 132 2010 The role of continuity in residual-based variational multiscale modeling of turbulence. Zbl 1162.76355Akkerman, I.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Hulshoff, S. 119 2008 Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 105 2007 Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M. 85 2010 \(YZ\beta\) discontinuity capturing for advection-dominated processes with application to arterial drug delivery. Zbl 1207.76049Bazilevs, Y.; Calo, V. M.; Tezduyar, T. E.; Hughes, T. J. R. 67 2007 A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D. Zbl 1316.76054Zitelli, J.; Muga, I.; Demkowicz, L.; Gopalakrishnan, J.; Pardo, D.; Calo, V. M. 65 2011 The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers. Zbl 1243.65137Collier, Nathan; Pardo, David; Dalcin, Lisandro; Paszynski, Maciej; Calo, V. M. 49 2012 Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian 40 2016 The cost of continuity: performance of iterative solvers on isogeometric finite elements. Zbl 1266.65221Collier, Nathan; Dalcin, Lisandro; Pardo, David; Calo, V. M. 36 2013 Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis. Zbl 1425.65039Bartoň, Michael; Calo, Victor Manuel 29 2016 Mode decomposition methods for flows in high-contrast porous media. Global-local approach. Zbl 1349.76209Ghommem, Mehdi; Presho, Michael; Calo, Victor M.; Efendiev, Yalchin 25 2013 Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls. Zbl 1366.92059Hossain, Shaolie S.; Hossainy, Syed F. A.; Bazilevs, Yuri; Calo, Victor M.; Hughes, Thomas J. R. 22 2012 Gaussian quadrature for splines via homotopy continuation: rules for \(C^2\) cubic splines. Zbl 1342.65097Bartoň, Michael; Calo, Victor Manuel 21 2016 PetIGA: a framework for high-performance isogeometric analysis. Zbl 1439.65003Dalcin, L.; Collier, N.; Vignal, P.; Côrtes, A. M. A.; Calo, V. M. 19 2016 Multiphysics model for blood flow and drug transport with application to patient-specific coronary artery flow. Zbl 1169.76066Calo, V. M.; Brasher, N. F.; Bazilevs, Y.; Hughes, T. J. R. 19 2008 Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall. Zbl 1365.76079Chang, K.; Hughes, T. J. R.; Calo, V. M. 18 2012 Fast isogeometric solvers for explicit dynamics. Zbl 1296.65129Gao, Longfei; Calo, Victor M. 17 2014 Multiscale empirical interpolation for solving nonlinear PDEs. Zbl 1349.65612Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Ghommem, Mehdi 16 2014 Asymptotic expansions for high-contrast elliptic equations. Zbl 1292.35100Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan 15 2014 Energy exchange analysis in droplet dynamics via the Navier-Stokes-Cahn-Hilliard model. Zbl 1422.76037Espath, L. F. R.; Sarmiento, A. F.; Vignal, P.; Varga, B. O. N.; Cortes, A. M. A.; Dalcin, L.; Calo, V. M. 14 2016 Global-local nonlinear model reduction for flows in heterogeneous porous media. Zbl 1423.76414Alotaibi, Manal; Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Ghommem, Mehdi 14 2015 On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers. Zbl 1352.65486Collier, N.; Dalcin, L.; Calo, V. M. 13 2014 An energy-stable generalized-\(\alpha\) method for the Swift-Hohenberg equation. Zbl 1457.65080Sarmiento, A. F.; Espath, L. F. R.; Vignal, P.; Dalcin, L.; Parsani, M.; Calo, V. M. 13 2018 Explicit Gaussian quadrature rules for \(C^1\) cubic splines with symmetrically stretched knot sequences. Zbl 1321.65037Ait-Haddou, Rachid; Bartoň, Michael; Calo, Victor Manuel 13 2015 Gaussian quadrature rules for \(C^1\) quintic splines with uniform knot vectors. Zbl 1365.65061Bartoň, Michael; Ait-Haddou, Rachid; Calo, Victor Manuel 13 2017 Simulation of laminar and turbulent concentric pipe flows with the isogeometric variational multiscale method. Zbl 1365.76033Ghaffari Motlagh, Yousef; Ahn, Hyung Taek; Hughes, Thomas J. R.; Calo, Victor M. 13 2013 Analysis of the discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model. Zbl 1368.65231Calo, Victor M.; Collier, Nathaniel O.; Niemi, Antti H. 13 2014 Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D alternating current borehole resistivity measurements. Zbl 1194.78068Pardo, D.; Torres-Verdín, C.; Nam, M. J.; Paszynski, M.; Calo, V. M. 11 2008 A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements. Zbl 1242.74109Duddu, Ravindra; Lavier, Luc L.; Hughes, Thomas J. R.; Calo, Victor M. 11 2012 Spectral approximation of elliptic operators by the hybrid high-order method. Zbl 1422.65359Calo, Victor; Cicuttin, Matteo; Deng, Quanling; Ern, Alexandre 11 2019 Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: quasi-optimal test space norm. Zbl 1350.65129Niemi, Antti H.; Collier, Nathaniel O.; Calo, Victor M. 10 2013 Dispersion optimized quadratures for isogeometric analysis. Zbl 1422.65360Calo, Victor; Deng, Quanling; Puzyrev, Vladimir 10 2019 Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D-DC borehole resistivity measurements. Zbl 1194.78067Pardo, D.; Calo, V. M.; Torres-Verdín, C.; Nam, M. J. 9 2008 Preconditioners based on the alternating-direction-implicit algorithm for the 2D steady-state diffusion equation with orthotropic heterogeneous coefficients. Zbl 1295.65111Gao, Longfei; Calo, Victor M. 9 2015 Dispersion-optimized quadrature rules for isogeometric analysis: modified inner products, their dispersion properties, and optimally blended schemes. Zbl 1433.65309Puzyrev, Vladimir; Deng, Quanling; Calo, Victor 8 2017 A survey on direct solvers for Galerkin methods. Zbl 1311.65030Pardo, David; Paszynski, Maciej; Collier, Nathan; Alvarez, Julen; Dalcin, Lisandro; Calo, Victor M. 8 2012 Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers. Zbl 1367.65257Woźniak, M.; Kuźnik, K.; Paszyński, M.; Calo, V. M.; Pardo, D. 8 2014 Residual-based variational multiscale theory of LES turbulence modeling. Zbl 1323.76032Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Scovazzi, G. 7 2011 An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms. Zbl 1436.65173Calo, Victor M.; Ern, Alexandre; Muga, Ignacio; Rojas, Sergio 6 2020 Spectral approximation properties of isogeometric analysis with variable continuity. Zbl 1440.65254Puzyrev, Vladimir; Deng, Quanling; Calo, Victor 6 2018 On the thermodynamics of the Swift-Hohenberg theory. Zbl 1392.80001Espath, L. F. R.; Sarmiento, A. F.; Dalcin, L.; Calo, V. M. 5 2017 Parallel fast isogeometric solvers for explicit dynamics. Zbl 06986710Woźniak, Maciej; Łoś, Marcin; Paszyński, Maciej; Dalcin, Lisandro; Calo, Victor Manuel 5 2017 A parallel direct solver for the self-adaptive \(hp\) finite element method. Zbl 1233.68079Paszyński, Maciej; Pardo, David; Torres-Verdín, Carlos; Demkowicz, Leszek; Calo, Victor 5 2010 A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes. Zbl 07415056Deng, Quanling; Calo, Victor M. 5 2021 Dispersion-minimizing quadrature rules for \(C^1\) quadratic isogeometric analysis. Zbl 1439.74406Deng, Quanling; Bartoň, Michael; Puzyrev, Vladimir; Calo, Victor 5 2018 Dispersion-minimized mass for isogeometric analysis. Zbl 1440.76056Deng, Quanling; Calo, Victor 5 2018 Isogeometric analysis of phase-field models: application to the Cahn-Hilliard equation. Zbl 1186.74106Gomez, H.; Calo, V. M.; Hughes, T. J. R. 5 2009 Mode decomposition methods for flows in high-contrast porous media. A global approach. Zbl 1349.76208Ghommem, Mehdi; Calo, Victor M.; Efendiev, Yalchin 4 2014 Optimal spectral approximation of \(2 n\)-order differential operators by mixed isogeometric analysis. Zbl 1440.65246Deng, Quanling; Puzyrev, Vladimir; Calo, Victor 4 2019 Computational cost of isogeometric multi-frontal solvers on parallel distributed memory machines. Zbl 1425.65186Woźniak, Maciej; Paszyński, Maciej; Pardo, David; Dalcin, Lisandro; Calo, Victor Manuel 3 2015 Pore-scale modeling and simulation of flow, transport, and adsorptive or osmotic effects in membranes: the influence of membrane microstructure. Zbl 1342.76143Calo, V. M.; Iliev, O.; Lakdawala, Z.; Leonard, K. H. L.; Printsypar, G. 3 2015 Higher-order generalized-\( \alpha\) methods for hyperbolic problems. Zbl 07340333Behnoudfar, Pouria; Deng, Quanling; Calo, Victor M. 3 2021 Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm. Zbl 07340382Rojas, Sergio; Pardo, David; Behnoudfar, Pouria; Calo, Victor M. 3 2021 The value of continuity: refined isogeometric analysis and fast direct solvers. Zbl 1439.65165Garcia, Daniel; Pardo, David; Dalcin, Lisandro; Paszyński, Maciej; Collier, Nathan; Calo, Victor M. 3 2017 An energy-stable time-integrator for phase-field models. Zbl 1439.74471Vignal, P.; Collier, N.; Dalcin, L.; Brown, D. L.; Calo, V. M. 3 2017 Refined isogeometric analysis for a preconditioned conjugate gradient solver. Zbl 1440.65162Garcia, Daniel; Pardo, David; Dalcin, Lisandro; Calo, Victor M. 3 2018 Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines. Zbl 07169502Bartoň, Michael; Puzyrev, Vladimir; Deng, Quanling; Calo, Victor 3 2020 A direct solver with reutilization of Lu factorizations for \(h\)-adaptive finite element grids with point singularities. Zbl 1319.65116Paszynski, Maciej; Pardo, David; Calo, Victor M. 3 2013 Generalization of the Pythagorean eigenvalue error theorem and its application to isogeometric analysis. Zbl 1416.65423Bartoň, Michael; Calo, Victor; Deng, Quanling; Puzyrev, Vladimir 3 2018 Asymptotic expansions for high-contrast linear elasticity. Zbl 1329.74033Poveda, Leonardo A.; Huepo, Sebastian; Calo, Victor M.; Galvis, Juan 2 2016 Reactive \(n\)-species Cahn-Hilliard system: a thermodynamically-consistent model for reversible chemical reactions. Zbl 1410.80012Clavijo, S. P.; Sarmiento, A. F.; Espath, L. F. R.; Dalcin, L.; Cortes, A. M. A.; Calo, V. M. 2 2019 Simulation of wireline sonic logging measurements acquired with borehole-eccentered tools using a high-order adaptive finite element method. Zbl 1419.76444Pardo, David; Matuszyk, Pawel; Muga, Ignacio; Torres-Verdín, Carlos; Mora, Angel; Calo, Victor M. 2 2011 Gradient-based estimation of Manning’s friction coefficient from noisy data. Zbl 1252.76060Calo, Victor M.; Collier, Nathan; Gehre, Matthias; Jin, Bangti; Radwan, Hany; Santillana, Mauricio 2 2013 A scalable block-preconditioning strategy for divergence-conforming B-spline discretizations of the Stokes problem. Zbl 1439.76057Côrtes, A. M. A.; Dalcin, L.; Sarmiento, A. F.; Collier, N.; Calo, V. M. 2 2017 Explicit-in-time goal-oriented adaptivity. Zbl 1440.65144Muñoz-Matute, Judit; Calo, Victor M.; Pardo, David; Alberdi, Elisabete; van der Zee, Kristoffer G. 2 2019 Refined isogeometric analysis for fluid mechanics and electromagnetics. Zbl 1441.76060Garcia, Daniel; Pardo, David; Calo, Victor M. 2 2019 Fast isogeometric solvers for hyperbolic wave propagation problems. Zbl 1446.65072Łoś, Marcin; Behnoudfar, P.; Paszyński, M.; Calo, Victor M. 2 2020 Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D. Zbl 1433.65268Deng, Quanling; Calo, Victor 2 2020 Multiscale stabilization for convection-dominated diffusion in heterogeneous media. Zbl 1423.76215Calo, Victor M.; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat 2 2016 Special issue: Turbulence modeling for large eddy simulations. Selected papers based on the presentations at the minisymposium, San Francisco, CA, USA, July 22–26, 2007. Zbl 1198.76009 1 2010 Splitting schemes for phase-field models. Zbl 1442.65217Calo, Victor; Minev, Peter; Puzyrev, Vladimir 1 2020 Split generalized-\( \alpha\) method: a linear-cost solver for multi-dimensional second-order hyperbolic systems. Zbl 07340425Behnoudfar, Pouria; Deng, Quanling; Calo, Victor M. 1 2021 Automatically adaptive, stabilized finite element method via residual minimization for heterogeneous, anisotropic advection-diffusion-reaction problems. Zbl 07415673Cier, Roberto J.; Rojas, Sergio; Calo, Victor M. 1 2021 Time-domain goal-oriented adaptivity using pseudo-dual error representations. Zbl 1439.65118Muñoz-Matute, Judit; Alberdi, Elisabete; Pardo, David; Calo, Victor M. 1 2017 Element partition trees for \(h\)-refined meshes to optimize direct solver performance. I: Dynamic programming. Zbl 1369.65044Aboueisha, Hassan; Calo, Victor Manuel; Jopek, Konrad; Moshkov, Mikhail; Paszyńska, Anna; Paszyński, Maciej; Skotniczny, Marcin 1 2017 A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes. Zbl 07415056Deng, Quanling; Calo, Victor M. 5 2021 Higher-order generalized-\( \alpha\) methods for hyperbolic problems. Zbl 07340333Behnoudfar, Pouria; Deng, Quanling; Calo, Victor M. 3 2021 Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm. Zbl 07340382Rojas, Sergio; Pardo, David; Behnoudfar, Pouria; Calo, Victor M. 3 2021 Split generalized-\( \alpha\) method: a linear-cost solver for multi-dimensional second-order hyperbolic systems. Zbl 07340425Behnoudfar, Pouria; Deng, Quanling; Calo, Victor M. 1 2021 Automatically adaptive, stabilized finite element method via residual minimization for heterogeneous, anisotropic advection-diffusion-reaction problems. Zbl 07415673Cier, Roberto J.; Rojas, Sergio; Calo, Victor M. 1 2021 An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms. Zbl 1436.65173Calo, Victor M.; Ern, Alexandre; Muga, Ignacio; Rojas, Sergio 6 2020 Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines. Zbl 07169502Bartoň, Michael; Puzyrev, Vladimir; Deng, Quanling; Calo, Victor 3 2020 Fast isogeometric solvers for hyperbolic wave propagation problems. Zbl 1446.65072Łoś, Marcin; Behnoudfar, P.; Paszyński, M.; Calo, Victor M. 2 2020 Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D. Zbl 1433.65268Deng, Quanling; Calo, Victor 2 2020 Splitting schemes for phase-field models. Zbl 1442.65217Calo, Victor; Minev, Peter; Puzyrev, Vladimir 1 2020 Spectral approximation of elliptic operators by the hybrid high-order method. Zbl 1422.65359Calo, Victor; Cicuttin, Matteo; Deng, Quanling; Ern, Alexandre 11 2019 Dispersion optimized quadratures for isogeometric analysis. Zbl 1422.65360Calo, Victor; Deng, Quanling; Puzyrev, Vladimir 10 2019 Optimal spectral approximation of \(2 n\)-order differential operators by mixed isogeometric analysis. Zbl 1440.65246Deng, Quanling; Puzyrev, Vladimir; Calo, Victor 4 2019 Reactive \(n\)-species Cahn-Hilliard system: a thermodynamically-consistent model for reversible chemical reactions. Zbl 1410.80012Clavijo, S. P.; Sarmiento, A. F.; Espath, L. F. R.; Dalcin, L.; Cortes, A. M. A.; Calo, V. M. 2 2019 Explicit-in-time goal-oriented adaptivity. Zbl 1440.65144Muñoz-Matute, Judit; Calo, Victor M.; Pardo, David; Alberdi, Elisabete; van der Zee, Kristoffer G. 2 2019 Refined isogeometric analysis for fluid mechanics and electromagnetics. Zbl 1441.76060Garcia, Daniel; Pardo, David; Calo, Victor M. 2 2019 An energy-stable generalized-\(\alpha\) method for the Swift-Hohenberg equation. Zbl 1457.65080Sarmiento, A. F.; Espath, L. F. R.; Vignal, P.; Dalcin, L.; Parsani, M.; Calo, V. M. 13 2018 Spectral approximation properties of isogeometric analysis with variable continuity. Zbl 1440.65254Puzyrev, Vladimir; Deng, Quanling; Calo, Victor 6 2018 Dispersion-minimizing quadrature rules for \(C^1\) quadratic isogeometric analysis. Zbl 1439.74406Deng, Quanling; Bartoň, Michael; Puzyrev, Vladimir; Calo, Victor 5 2018 Dispersion-minimized mass for isogeometric analysis. Zbl 1440.76056Deng, Quanling; Calo, Victor 5 2018 Refined isogeometric analysis for a preconditioned conjugate gradient solver. Zbl 1440.65162Garcia, Daniel; Pardo, David; Dalcin, Lisandro; Calo, Victor M. 3 2018 Generalization of the Pythagorean eigenvalue error theorem and its application to isogeometric analysis. Zbl 1416.65423Bartoň, Michael; Calo, Victor; Deng, Quanling; Puzyrev, Vladimir 3 2018 Gaussian quadrature rules for \(C^1\) quintic splines with uniform knot vectors. Zbl 1365.65061Bartoň, Michael; Ait-Haddou, Rachid; Calo, Victor Manuel 13 2017 Dispersion-optimized quadrature rules for isogeometric analysis: modified inner products, their dispersion properties, and optimally blended schemes. Zbl 1433.65309Puzyrev, Vladimir; Deng, Quanling; Calo, Victor 8 2017 On the thermodynamics of the Swift-Hohenberg theory. Zbl 1392.80001Espath, L. F. R.; Sarmiento, A. F.; Dalcin, L.; Calo, V. M. 5 2017 Parallel fast isogeometric solvers for explicit dynamics. Zbl 06986710Woźniak, Maciej; Łoś, Marcin; Paszyński, Maciej; Dalcin, Lisandro; Calo, Victor Manuel 5 2017 The value of continuity: refined isogeometric analysis and fast direct solvers. Zbl 1439.65165Garcia, Daniel; Pardo, David; Dalcin, Lisandro; Paszyński, Maciej; Collier, Nathan; Calo, Victor M. 3 2017 An energy-stable time-integrator for phase-field models. Zbl 1439.74471Vignal, P.; Collier, N.; Dalcin, L.; Brown, D. L.; Calo, V. M. 3 2017 A scalable block-preconditioning strategy for divergence-conforming B-spline discretizations of the Stokes problem. Zbl 1439.76057Côrtes, A. M. A.; Dalcin, L.; Sarmiento, A. F.; Collier, N.; Calo, V. M. 2 2017 Time-domain goal-oriented adaptivity using pseudo-dual error representations. Zbl 1439.65118Muñoz-Matute, Judit; Alberdi, Elisabete; Pardo, David; Calo, Victor M. 1 2017 Element partition trees for \(h\)-refined meshes to optimize direct solver performance. I: Dynamic programming. Zbl 1369.65044Aboueisha, Hassan; Calo, Victor Manuel; Jopek, Konrad; Moshkov, Mikhail; Paszyńska, Anna; Paszyński, Maciej; Skotniczny, Marcin 1 2017 Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian 40 2016 Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis. Zbl 1425.65039Bartoň, Michael; Calo, Victor Manuel 29 2016 Gaussian quadrature for splines via homotopy continuation: rules for \(C^2\) cubic splines. Zbl 1342.65097Bartoň, Michael; Calo, Victor Manuel 21 2016 PetIGA: a framework for high-performance isogeometric analysis. Zbl 1439.65003Dalcin, L.; Collier, N.; Vignal, P.; Côrtes, A. M. A.; Calo, V. M. 19 2016 Energy exchange analysis in droplet dynamics via the Navier-Stokes-Cahn-Hilliard model. Zbl 1422.76037Espath, L. F. R.; Sarmiento, A. F.; Vignal, P.; Varga, B. O. N.; Cortes, A. M. A.; Dalcin, L.; Calo, V. M. 14 2016 Asymptotic expansions for high-contrast linear elasticity. Zbl 1329.74033Poveda, Leonardo A.; Huepo, Sebastian; Calo, Victor M.; Galvis, Juan 2 2016 Multiscale stabilization for convection-dominated diffusion in heterogeneous media. Zbl 1423.76215Calo, Victor M.; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat 2 2016 Global-local nonlinear model reduction for flows in heterogeneous porous media. Zbl 1423.76414Alotaibi, Manal; Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Ghommem, Mehdi 14 2015 Explicit Gaussian quadrature rules for \(C^1\) cubic splines with symmetrically stretched knot sequences. Zbl 1321.65037Ait-Haddou, Rachid; Bartoň, Michael; Calo, Victor Manuel 13 2015 Preconditioners based on the alternating-direction-implicit algorithm for the 2D steady-state diffusion equation with orthotropic heterogeneous coefficients. Zbl 1295.65111Gao, Longfei; Calo, Victor M. 9 2015 Computational cost of isogeometric multi-frontal solvers on parallel distributed memory machines. Zbl 1425.65186Woźniak, Maciej; Paszyński, Maciej; Pardo, David; Dalcin, Lisandro; Calo, Victor Manuel 3 2015 Pore-scale modeling and simulation of flow, transport, and adsorptive or osmotic effects in membranes: the influence of membrane microstructure. Zbl 1342.76143Calo, V. M.; Iliev, O.; Lakdawala, Z.; Leonard, K. H. L.; Printsypar, G. 3 2015 Fast isogeometric solvers for explicit dynamics. Zbl 1296.65129Gao, Longfei; Calo, Victor M. 17 2014 Multiscale empirical interpolation for solving nonlinear PDEs. Zbl 1349.65612Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Ghommem, Mehdi 16 2014 Asymptotic expansions for high-contrast elliptic equations. Zbl 1292.35100Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan 15 2014 On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers. Zbl 1352.65486Collier, N.; Dalcin, L.; Calo, V. M. 13 2014 Analysis of the discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model. Zbl 1368.65231Calo, Victor M.; Collier, Nathaniel O.; Niemi, Antti H. 13 2014 Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers. Zbl 1367.65257Woźniak, M.; Kuźnik, K.; Paszyński, M.; Calo, V. M.; Pardo, D. 8 2014 Mode decomposition methods for flows in high-contrast porous media. A global approach. Zbl 1349.76208Ghommem, Mehdi; Calo, Victor M.; Efendiev, Yalchin 4 2014 The cost of continuity: performance of iterative solvers on isogeometric finite elements. Zbl 1266.65221Collier, Nathan; Dalcin, Lisandro; Pardo, David; Calo, V. M. 36 2013 Mode decomposition methods for flows in high-contrast porous media. Global-local approach. Zbl 1349.76209Ghommem, Mehdi; Presho, Michael; Calo, Victor M.; Efendiev, Yalchin 25 2013 Simulation of laminar and turbulent concentric pipe flows with the isogeometric variational multiscale method. Zbl 1365.76033Ghaffari Motlagh, Yousef; Ahn, Hyung Taek; Hughes, Thomas J. R.; Calo, Victor M. 13 2013 Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: quasi-optimal test space norm. Zbl 1350.65129Niemi, Antti H.; Collier, Nathaniel O.; Calo, Victor M. 10 2013 A direct solver with reutilization of Lu factorizations for \(h\)-adaptive finite element grids with point singularities. Zbl 1319.65116Paszynski, Maciej; Pardo, David; Calo, Victor M. 3 2013 Gradient-based estimation of Manning’s friction coefficient from noisy data. Zbl 1252.76060Calo, Victor M.; Collier, Nathan; Gehre, Matthias; Jin, Bangti; Radwan, Hany; Santillana, Mauricio 2 2013 The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers. Zbl 1243.65137Collier, Nathan; Pardo, David; Dalcin, Lisandro; Paszynski, Maciej; Calo, V. M. 49 2012 Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls. Zbl 1366.92059Hossain, Shaolie S.; Hossainy, Syed F. A.; Bazilevs, Yuri; Calo, Victor M.; Hughes, Thomas J. R. 22 2012 Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall. Zbl 1365.76079Chang, K.; Hughes, T. J. R.; Calo, V. M. 18 2012 A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements. Zbl 1242.74109Duddu, Ravindra; Lavier, Luc L.; Hughes, Thomas J. R.; Calo, Victor M. 11 2012 A survey on direct solvers for Galerkin methods. Zbl 1311.65030Pardo, David; Paszynski, Maciej; Collier, Nathan; Alvarez, Julen; Dalcin, Lisandro; Calo, Victor M. 8 2012 A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D. Zbl 1316.76054Zitelli, J.; Muga, I.; Demkowicz, L.; Gopalakrishnan, J.; Pardo, D.; Calo, V. M. 65 2011 Residual-based variational multiscale theory of LES turbulence modeling. Zbl 1323.76032Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Scovazzi, G. 7 2011 Simulation of wireline sonic logging measurements acquired with borehole-eccentered tools using a high-order adaptive finite element method. Zbl 1419.76444Pardo, David; Matuszyk, Pawel; Muga, Ignacio; Torres-Verdín, Carlos; Mora, Angel; Calo, Victor M. 2 2011 Isogeometric analysis using T-splines. Zbl 1227.74123Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W. 412 2010 Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes. Zbl 1406.76023Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 138 2010 Improving stability of stabilized and multiscale formulations in flow simulations at small time steps. Zbl 1406.76028Hsu, M.-C.; Bazilevs, Y.; Calo, V. M.; Tezduyar, T. E.; Hughes, T. J. R. 132 2010 Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M. 85 2010 A parallel direct solver for the self-adaptive \(hp\) finite element method. Zbl 1233.68079Paszyński, Maciej; Pardo, David; Torres-Verdín, Carlos; Demkowicz, Leszek; Calo, Victor 5 2010 Special issue: Turbulence modeling for large eddy simulations. Selected papers based on the presentations at the minisymposium, San Francisco, CA, USA, July 22–26, 2007. Zbl 1198.76009 1 2010 Isogeometric analysis of phase-field models: application to the Cahn-Hilliard equation. Zbl 1186.74106Gomez, H.; Calo, V. M.; Hughes, T. J. R. 5 2009 Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y. 361 2008 Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R. 255 2008 \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements. Zbl 1194.74518Elguedj, T.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R. 133 2008 The role of continuity in residual-based variational multiscale modeling of turbulence. Zbl 1162.76355Akkerman, I.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Hulshoff, S. 119 2008 Multiphysics model for blood flow and drug transport with application to patient-specific coronary artery flow. Zbl 1169.76066Calo, V. M.; Brasher, N. F.; Bazilevs, Y.; Hughes, T. J. R. 19 2008 Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D alternating current borehole resistivity measurements. Zbl 1194.78068Pardo, D.; Torres-Verdín, C.; Nam, M. J.; Paszynski, M.; Calo, V. M. 11 2008 Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D-DC borehole resistivity measurements. Zbl 1194.78067Pardo, D.; Calo, V. M.; Torres-Verdín, C.; Nam, M. J. 9 2008 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Zbl 1169.76352Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Hughes, T. J. R.; Reali, A.; Scovazzi, G. 403 2007 Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 105 2007 \(YZ\beta\) discontinuity capturing for advection-dominated processes with application to arterial drug delivery. Zbl 1207.76049Bazilevs, Y.; Calo, V. M.; Tezduyar, T. E.; Hughes, T. J. R. 67 2007 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Zbl 1161.74020Bazilevs, Y.; Calo, V. M.; Zhang, Y.; Hughes, T. J. R. 278 2006 all cited Publications top 5 cited Publications all top 5 Cited by 2,146 Authors 110 Tezduyar, Tayfun E. 108 Bazilevs, Yuri 94 Hughes, Thomas J. R. 90 Takizawa, Kenji 71 Calo, Victor Manuel 50 Hsu, Ming-Chen 38 Sangalli, Giancarlo 32 Rabczuk, Timon 31 Evans, John A. 31 Schillinger, Dominik 29 Chung, Tsz Shun Eric 29 Reali, Alessandro 28 Scott, Michael A. 26 Efendiev, Yalchin R. 25 Demkowicz, Leszek F. 24 Buffa, Annalisa 24 Pardo, David 22 Kiendl, Josef 20 Beirão da Veiga, Lourenço 19 Dede’, Luca 19 Jüttler, Bert 19 Paszyński, Maciej 19 Wall, Wolfgang A. 18 Quarteroni, Alfio M. 17 Dalcín, Lisandro D. 17 Korobenko, Artem 17 Marsden, Alison L. 17 Yan, Jinhui 16 Yang, Xiaofeng 15 Akkerman, Ido 15 Bordas, Stéphane Pierre Alain 15 Deng, Quanling 14 Benson, David J. 14 Cho, Durkbin 14 Codina, Ramon 14 de Lorenzis, Laura 13 Gravemeier, Volker 13 Kamensky, David 13 Kuraishi, Takashi 13 Masud, Arif 13 Rank, Ernst 13 Zhang, Yongjie 12 Auricchio, Ferdinando 12 Corsini, Alessandro 12 Kapl, Mario 12 Leung, Wingtat 12 Rispoli, Franco 12 Xu, Fei 11 Anitescu, Cosmin 11 Bletzinger, Kai-Uwe 11 Deng, Jiansong 11 Heuer, Norbert 11 Nguyen-Thanh, Nhon 11 Nguyen-Xuan, Hung 11 Wriggers, Peter 11 Wüchner, Roland 10 Bui, Tinh Quoc 10 Chen, Falai 10 de Borst, René 10 Galvis, Juan 10 Hiemstra, René R. 10 Li, Xin 10 Muga, Ignacio 10 Scacchi, Simone 10 Tani, Mattia 10 Zhang, Yongjie Jessica 9 Badia, Santiago 9 Barton, Michael H. 9 Führer, Thomas 9 Jaiman, Rajeev Kumar 9 John, Volker 9 Kostov, Nikolay A. 9 Kvamsdal, Trond 9 Liu, Ju 9 Otoguro, Yuto 9 Pavarino, Luca Franco 9 Principe, Javier R. 9 Scovazzi, Guglielmo 9 Takacs, Thomas 9 Vasilyeva, Maria V. 9 Vazquez, Rafael 9 Wu, Michael C. H. 9 Youn, Sung-Kie 9 Zhuang, Xiaoying 8 Ahmed, Naveed 8 Antolin, Pablo 8 Atroshchenko, Elena 8 Giannelli, Carlotta 8 Hesch, Christian 8 Kim, Junseok 8 Ruess, Martin 8 Speleers, Hendrik 8 Valizadeh, Navid 8 Van Brummelen, Harald 8 Verhoosel, Clemens V. 8 Wang, Chenglong 8 Xu, Gang 8 Yu, Tiantang 7 Borden, Michael J. 7 Cai, Xiao-Chuan ...and 2,046 more Authors all top 5 Cited in 118 Serials 551 Computer Methods in Applied Mechanics and Engineering 158 Computational Mechanics 107 Journal of Computational Physics 87 Computers & Mathematics with Applications 67 Journal of Computational and Applied Mathematics 63 Computers and Fluids 49 International Journal for Numerical Methods in Engineering 36 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 31 Engineering Analysis with Boundary Elements 24 International Journal for Numerical Methods in Fluids 24 Computer Aided Geometric Design 23 Journal of Scientific Computing 19 Archives of Computational Methods in Engineering 15 Applied Mathematical Modelling 14 SIAM Journal on Scientific Computing 14 Computational Geosciences 12 Applied Numerical Mathematics 12 Multiscale Modeling & Simulation 11 Numerische Mathematik 10 Advances in Computational Mathematics 9 SIAM Journal on Numerical Analysis 9 European Journal of Mechanics. A. Solids 8 Mathematics of Computation 8 Communications in Computational Physics 7 Applied Mathematics and Computation 7 International Journal of Computational Methods 7 International Journal for Numerical Methods in Biomedical Engineering 6 Mathematics and Computers in Simulation 6 Computational Methods in Applied Mathematics 6 Communications in Mathematics and Statistics 5 Journal of Fluid Mechanics 5 Communications in Nonlinear Science and Numerical Simulation 4 International Journal of Engineering Science 4 Numerical Methods for Partial Differential Equations 4 Computational and Applied Mathematics 4 Structural and Multidisciplinary Optimization 4 Advances in Applied Mathematics and Mechanics 3 Acta Mechanica 3 Journal of Mathematical Analysis and Applications 3 Calcolo 3 Applied Mathematics Letters 3 SIAM Journal on Applied Mathematics 3 Journal of Systems Science and Complexity 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 GEM - International Journal on Geomathematics 3 International Journal of Advances in Engineering Sciences and Applied Mathematics 3 AIMS Mathematics 2 Journal of the Mechanics and Physics of Solids 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Meccanica 2 ACM Transactions on Graphics 2 Mathematical Problems in Engineering 2 Multibody System Dynamics 2 Nonlinear Dynamics 2 Journal of Mathematical Fluid Mechanics 2 European Journal of Mechanics. B. Fluids 2 International Journal of Applied Mathematics and Computer Science 2 Communications on Pure and Applied Analysis 2 Milan Journal of Mathematics 2 Acta Numerica 2 Acta Mechanica Sinica 2 S\(\vec{\text{e}}\)MA Journal 2 Journal of Theoretical Biology 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics B 1 Applicable Analysis 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Physica A 1 Wave Motion 1 BIT 1 Journal of Optimization Theory and Applications 1 Chinese Annals of Mathematics. Series B 1 Journal of Computational Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Parallel and Distributed Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Advances in Engineering Software 1 Continuum Mechanics and Thermodynamics 1 Applied Mathematics. Series B (English Edition) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Mathematics and Mechanics of Solids 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Chaos 1 The ANZIAM Journal 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Natural Computing 1 Journal of Numerical Mathematics 1 Journal of Computational Acoustics ...and 18 more Serials all top 5 Cited in 38 Fields 1,090 Numerical analysis (65-XX) 642 Mechanics of deformable solids (74-XX) 621 Fluid mechanics (76-XX) 204 Partial differential equations (35-XX) 128 Biology and other natural sciences (92-XX) 56 Approximations and expansions (41-XX) 35 Classical thermodynamics, heat transfer (80-XX) 34 Computer science (68-XX) 30 Optics, electromagnetic theory (78-XX) 30 Statistical mechanics, structure of matter (82-XX) 22 Geophysics (86-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 11 Operations research, mathematical programming (90-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Integral equations (45-XX) 5 Statistics (62-XX) 4 Potential theory (31-XX) 4 Ordinary differential equations (34-XX) 4 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year