Edit Profile (opens in new tab) Marquina, Antonio Compute Distance To: Compute Author ID: marquina.antonio Published as: Marquina, Antonio; Marquina, A. External Links: ORCID Documents Indexed: 52 Publications since 1973 Co-Authors: 23 Co-Authors with 42 Joint Publications 673 Co-Co-Authors all top 5 Co-Authors 10 single-authored 7 Castro, Manuel J. 7 Gallardo, José M. 7 Serna, Susana 6 Donat, Rosa 5 Carreras, P. Perez 4 Candela, Vicente F. 3 Martínez, Vicente 2 Ibáñez, José María 2 Mulet, Pep 2 Osher, Stanley Joel 2 Peris, Rosa M. 2 Sanz-Serna, Jesús María 1 Chan, Tony Fan-Cheong 1 Chiavassa, Guillaume 1 Dussoulliez, Ph. 1 Fedkiw, Ronald P. 1 Font, José A. 1 Fuster, Robert 1 Jung, Miyoun 1 Merriman, Barry 1 Schmets, Jean 1 Stiriba, Youssef 1 Vese, Luminita A. all top 5 Serials 7 Journal of Computational Physics 4 Journal of Scientific Computing 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid 3 Archiv der Mathematik 3 SIAM Journal on Scientific Computing 2 Computers and Fluids 2 Applied Mathematics and Computation 2 Computing 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Bulletin de la Société Royale des Sciences de Liège 1 Collectanea Mathematica 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Physics of Fluids 1 SIAM Journal on Imaging Sciences all top 5 Fields 24 Numerical analysis (65-XX) 19 Fluid mechanics (76-XX) 15 Partial differential equations (35-XX) 15 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 954 times in 751 Documents Cited by ▼ Year ▼ High-order total variation-based image restoration. Zbl 0968.68175Chan, Tony; Marquina, Antonio; Mulet, Pep 217 2000 Recurrence relations for rational cubic methods. II: The Chebyshev method. Zbl 0714.65061Candela, V.; Marquina, A. 133 1990 Recurrence relations for rational cubic methods. I: The Halley method. Zbl 0701.65043Candela, V.; Marquina, A. 128 1990 Capturing shock reflections: An improved flux formula. Zbl 0847.76049Donat, Rosa; Marquina, Antonio 70 1996 Power ENO methods: A fifth-order accurate weighted power ENO method. Zbl 1044.65071Serna, Susana; Marquina, Antonio 59 2004 Local piecewise hyperbolic reconstruction of numerical fluxes for nonlinear scalar conservation laws. Zbl 0805.65088Marquina, Antonio 57 1994 Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal. Zbl 0969.65081Marquina, Antonio; Osher, Stanley 52 2000 A isobaric fix for the overheating problem in multimaterial compressible flows. Zbl 0933.76075Fedkiw, Ronald P.; Marquina, Antonio; Merriman, Barry 44 1999 A flux-split algorithm applied to conservative models for multicomponent compressible flows. Zbl 1064.76078Marquina, Antonio; Mulet, Pep 42 2003 Image super-resolution by TV-regularization and Bregman iteration. Zbl 1203.94014Marquina, Antonio; Osher, Stanley J. 37 2008 A flux-split algorithm applied to relativistic flows. Zbl 0930.76054Donat, R.; Font, J. A.; Ibáñez, J. M.; Marquina, A. 22 1998 A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function. Zbl 1299.76181Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio 12 2014 Capturing shock waves in inelastic granular gases. Zbl 1138.76378Serna, Susana; Marquina, Antonio 9 2005 Diffusion front capturing schemes for a class of Fokker-Planck equations: application to the relativistic heat equation. Zbl 1423.35365Marquina, Antonio 9 2010 Barrelledness conditions on \(c_0(E)\). Zbl 0396.46005Marquina, A.; Sanz Serna, J. M. 6 1979 Nonlinear inverse scale space methods for total variation blind deconvolution. Zbl 1177.65193Marquina, Antonio 6 2009 The convergence of the perturbed Newton method and its application for ill-conditioned problems. Zbl 1255.65095Peris, R.; Marquina, A.; Candela, V. 6 2011 Approximate Osher-Solomon schemes for hyperbolic systems. Zbl 1410.76325Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio 6 2016 Equilibrium real gas computations using Marquina’s scheme. Zbl 1047.76084Stiriba, Youssef; Marquina, Antonio; Donat, Rosa 5 2003 A note on the closed graph theorem. Zbl 0351.46003Marquina, Antonio 4 1977 Shooting methods for one-dimensional diffusion-absorption problems. Zbl 0821.65062Martínez, V.; Marquina, A.; Donat, R. 4 1994 Approximate Osher-Solomon schemes for hyperbolic systems. Zbl 1402.35019Castro, M. J.; Gallardo, J. M.; Marquina, A. 3 2016 Capturing blast waves in granular flow. Zbl 1194.76100Serna, Susana; Marquina, Antonio 3 2007 Jacobian-free approximate solvers for hyperbolic systems: application to relativistic magnetohydrodynamics. Zbl 1411.65119Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio 3 2017 On bornological c//0(E) spaces. Zbl 0514.46025Marquina, Antonio; Schmets, Jean 3 1982 Geometric series in incomplete normed algebras. Zbl 0553.46032Fuster, R.; Marquina, A. 3 1984 Barrelledness conditions on \(c_0(E)\). Zbl 0387.46004Marquina, A.; Sanz Serna, J. M. 2 1979 Anomalous wave structure in magnetized materials described by non-convex equations of state. Zbl 1321.76079Serna, Susana; Marquina, Antonio 2 2014 On the numerical approximation of the length of (implicit) level curves. Zbl 1203.65040Candela, Vicente F.; Marquina, Antonio 1 2008 Shooting methods for 1D steady-state free boundary problems. Zbl 0769.65057Marquina, A.; Martínez, V. 1 1993 Fronts propagating with signal dependent speed in limited diffusion and related Hamilton-Jacobi formulations. Zbl 1394.35132Serna, Susana; Marquina, Antonio 1 2013 On quasibarrelled spaces. Zbl 0281.46004Marquina, A.; Perez Carreras, P. 1 1974 Afternotes on PHM: Harmonic ENO methods. Zbl 1065.65107Marquina, Antonio; Serna, Susana 1 2003 Computation of travelling wave solutions of scalar conservation laws with a stiff source term. Zbl 1048.76041Martínez, Vicente; Marquina, Antonio 1 2003 Capturing composite waves in non-convex special relativistic hydrodynamics. Zbl 1448.76204Marquina, Antonio; Serna, Susana; Ibáñez, José M. 1 2019 Capturing composite waves in non-convex special relativistic hydrodynamics. Zbl 1448.76204Marquina, Antonio; Serna, Susana; Ibáñez, José M. 1 2019 Jacobian-free approximate solvers for hyperbolic systems: application to relativistic magnetohydrodynamics. Zbl 1411.65119Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio 3 2017 Approximate Osher-Solomon schemes for hyperbolic systems. Zbl 1410.76325Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio 6 2016 Approximate Osher-Solomon schemes for hyperbolic systems. Zbl 1402.35019Castro, M. J.; Gallardo, J. M.; Marquina, A. 3 2016 A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function. Zbl 1299.76181Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio 12 2014 Anomalous wave structure in magnetized materials described by non-convex equations of state. Zbl 1321.76079Serna, Susana; Marquina, Antonio 2 2014 Fronts propagating with signal dependent speed in limited diffusion and related Hamilton-Jacobi formulations. Zbl 1394.35132Serna, Susana; Marquina, Antonio 1 2013 The convergence of the perturbed Newton method and its application for ill-conditioned problems. Zbl 1255.65095Peris, R.; Marquina, A.; Candela, V. 6 2011 Diffusion front capturing schemes for a class of Fokker-Planck equations: application to the relativistic heat equation. Zbl 1423.35365Marquina, Antonio 9 2010 Nonlinear inverse scale space methods for total variation blind deconvolution. Zbl 1177.65193Marquina, Antonio 6 2009 Image super-resolution by TV-regularization and Bregman iteration. Zbl 1203.94014Marquina, Antonio; Osher, Stanley J. 37 2008 On the numerical approximation of the length of (implicit) level curves. Zbl 1203.65040Candela, Vicente F.; Marquina, Antonio 1 2008 Capturing blast waves in granular flow. Zbl 1194.76100Serna, Susana; Marquina, Antonio 3 2007 Capturing shock waves in inelastic granular gases. Zbl 1138.76378Serna, Susana; Marquina, Antonio 9 2005 Power ENO methods: A fifth-order accurate weighted power ENO method. Zbl 1044.65071Serna, Susana; Marquina, Antonio 59 2004 A flux-split algorithm applied to conservative models for multicomponent compressible flows. Zbl 1064.76078Marquina, Antonio; Mulet, Pep 42 2003 Equilibrium real gas computations using Marquina’s scheme. Zbl 1047.76084Stiriba, Youssef; Marquina, Antonio; Donat, Rosa 5 2003 Afternotes on PHM: Harmonic ENO methods. Zbl 1065.65107Marquina, Antonio; Serna, Susana 1 2003 Computation of travelling wave solutions of scalar conservation laws with a stiff source term. Zbl 1048.76041Martínez, Vicente; Marquina, Antonio 1 2003 High-order total variation-based image restoration. Zbl 0968.68175Chan, Tony; Marquina, Antonio; Mulet, Pep 217 2000 Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal. Zbl 0969.65081Marquina, Antonio; Osher, Stanley 52 2000 A isobaric fix for the overheating problem in multimaterial compressible flows. Zbl 0933.76075Fedkiw, Ronald P.; Marquina, Antonio; Merriman, Barry 44 1999 A flux-split algorithm applied to relativistic flows. Zbl 0930.76054Donat, R.; Font, J. A.; Ibáñez, J. M.; Marquina, A. 22 1998 Capturing shock reflections: An improved flux formula. Zbl 0847.76049Donat, Rosa; Marquina, Antonio 70 1996 Local piecewise hyperbolic reconstruction of numerical fluxes for nonlinear scalar conservation laws. Zbl 0805.65088Marquina, Antonio 57 1994 Shooting methods for one-dimensional diffusion-absorption problems. Zbl 0821.65062Martínez, V.; Marquina, A.; Donat, R. 4 1994 Shooting methods for 1D steady-state free boundary problems. Zbl 0769.65057Marquina, A.; Martínez, V. 1 1993 Recurrence relations for rational cubic methods. II: The Chebyshev method. Zbl 0714.65061Candela, V.; Marquina, A. 133 1990 Recurrence relations for rational cubic methods. I: The Halley method. Zbl 0701.65043Candela, V.; Marquina, A. 128 1990 Geometric series in incomplete normed algebras. Zbl 0553.46032Fuster, R.; Marquina, A. 3 1984 On bornological c//0(E) spaces. Zbl 0514.46025Marquina, Antonio; Schmets, Jean 3 1982 Barrelledness conditions on \(c_0(E)\). Zbl 0396.46005Marquina, A.; Sanz Serna, J. M. 6 1979 Barrelledness conditions on \(c_0(E)\). Zbl 0387.46004Marquina, A.; Sanz Serna, J. M. 2 1979 A note on the closed graph theorem. Zbl 0351.46003Marquina, Antonio 4 1977 On quasibarrelled spaces. Zbl 0281.46004Marquina, A.; Perez Carreras, P. 1 1974 all cited Publications top 5 cited Publications all top 5 Cited by 1,093 Authors 50 Argyros, Ioannis Konstantinos 27 Amat, Sergio P. 26 George, Santhosh 23 Hernández, Miguel Ángel 18 Kou, Jisheng 18 Marquina, Antonio 17 Wang, Xiuhua 14 Mulet, Pep 13 Castro, Manuel J. 13 Ezquerro, José Antonio 12 Gutiérrez, José Manuel 12 Laghrib, Amine 12 Shu, Chi-Wang 11 Busquier, Sonia 11 Chen, Ke 11 Magreñán, Ángel Alberto 10 Gallardo, José M. 10 Parés Madroñal, Carlos 10 Tang, Huazhong 9 Baeza, Antonio 9 Candela, Vicente F. 9 Donat, Rosa 9 Guo, Zhichang 9 Lv, Xiaoguang 9 Zorío, David 8 Fedkiw, Ronald P. 8 Hadri, Aissam 8 Huang, Ting-Zhu 8 Liandrat, Jacques 8 Liu, Jun 8 Serna, Susana 8 Tai, Xuecheng 8 Wu, Boying 7 Hakim, Abdelilah 7 Pang, Zhifeng 7 Trillo, Juan Carlos 6 Gu, Chuanqing 6 Gupta, Dharmendra Kumar 6 Osher, Stanley Joel 6 Qamar, Shamsul 6 Schönlieb, Carola-Bibiane 5 Behl, Ramandeep 5 Burger, Martin 5 Bürger, Raimund 5 Kang, Myungjoo 5 Ling, Yonghui 5 Liu, Tiegang 5 Liu, Xinwu 5 Neta, Beny 5 Prashanth, Maroju 5 Romero, Natalia 5 Shen, Zuowei 5 Shyue, Keh-Ming 5 Steidl, Gabriele 5 Sun, Jiebao 5 Wei, Guowei 5 Yi, Dokkyun 5 Zhao, Xile 5 Zheng, Lin 5 Zhu, Jun 4 Bhuruth, Muddun 4 Caselles Costa, Vicent 4 Dadourian, Karine 4 Ji, Hui 4 Jiang, Le 4 Jung, Miyoun 4 Khoo, Boo Cheong 4 Lou, Yifei 4 Parhi, Sanjaya Kumar 4 Peer, Arshad Ahmud Iqbal 4 Peris, Rosa M. 4 Qiu, Jianxian 4 Salanova, M. Amparo 4 Shi, Baoli 4 Sicilia, Juan Antonio 4 Udaykumar, Holavanahalli S. 4 Xu, Xiubin 4 Yang, Xiaoping 3 Abedian, Rooholah 3 Aslam, Tariq D. 3 Bergmann, Ronny 3 Calvo, Juan G. 3 Chan, Raymond Hon-Fu 3 Chan, Tony Fan-Cheong 3 Chang, Qianshun 3 Chen, Yaping 3 Chun, Changbum 3 Dauhoo, Muhammad Zaid 3 Deng, Xi 3 Didas, Stephan 3 Dong, Bin 3 Dong, Fangfang 3 Duan, Yuping 3 Dumbser, Michael 3 Farhat, Charbel H. 3 Font, José A. 3 Huang, Jin 3 Iollo, Angelo 3 Jaiswal, Jai Prakash 3 Kumari, Chandni ...and 993 more Authors all top 5 Cited in 169 Serials 101 Journal of Computational Physics 57 Journal of Scientific Computing 42 Applied Mathematics and Computation 31 Numerical Algorithms 29 Computers & Mathematics with Applications 26 Journal of Computational and Applied Mathematics 24 Journal of Mathematical Imaging and Vision 21 Applied Numerical Mathematics 20 Computers and Fluids 14 International Journal of Computer Mathematics 13 Inverse Problems and Imaging 13 SIAM Journal on Imaging Sciences 11 Mathematical Problems in Engineering 11 S\(\vec{\text{e}}\)MA Journal 9 Communications in Computational Physics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Multidimensional Systems and Signal Processing 8 SIAM Journal on Scientific Computing 8 Abstract and Applied Analysis 7 Journal of Mathematical Analysis and Applications 7 Advances in Computational Mathematics 6 International Journal of Computer Vision 5 Journal of Fluid Mechanics 5 Mathematical Methods in the Applied Sciences 5 Archiv der Mathematik 5 Journal of Optimization Theory and Applications 5 Applied Mathematical Modelling 5 Pattern Recognition 5 Applicationes Mathematicae 5 Journal of Mathematical Chemistry 5 Journal of Inequalities and Applications 5 Journal of Applied Mathematics and Computing 5 International Journal of Applied and Computational Mathematics 4 Inverse Problems 4 Journal of the Franklin Institute 4 Information Sciences 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematics Letters 4 Applied and Computational Harmonic Analysis 4 Nonlinear Analysis. Real World Applications 4 International Journal of Computational Methods 3 Computer Methods in Applied Mechanics and Engineering 3 Computer Physics Communications 3 BIT 3 Computing 3 Mathematische Annalen 3 Mathematical and Computer Modelling 3 Computational Optimization and Applications 3 Physics of Fluids 3 International Journal of Computational Fluid Dynamics 3 Living Reviews in Relativity 3 International Journal for Numerical Methods in Biomedical Engineering 2 Bulletin of the Australian Mathematical Society 2 International Journal for Numerical Methods in Fluids 2 Mathematics of Computation 2 International Journal for Numerical Methods in Engineering 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 SIAM Journal on Numerical Analysis 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Signal Processing 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 The Journal of Analysis 2 Applied Mathematics. Series B (English Edition) 2 Computational and Applied Mathematics 2 Journal of Inverse and Ill-Posed Problems 2 Novi Sad Journal of Mathematics 2 European Journal of Mechanics. B. Fluids 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 The ANZIAM Journal 2 Journal of Applied Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Milan Journal of Mathematics 2 Acta Numerica 2 International Journal of Numerical Analysis and Modeling 2 Boundary Value Problems 2 Journal of Fixed Point Theory and Applications 2 Advances in Mathematical Physics 2 Advances in Applied Mathematics and Mechanics 2 Numerical Algebra, Control and Optimization 2 East Asian Journal on Applied Mathematics 2 Cogent Mathematics 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Shock Waves 1 Bulletin of the Polish Academy of Sciences. Technical Sciences 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation ...and 69 more Serials all top 5 Cited in 38 Fields 494 Numerical analysis (65-XX) 204 Information and communication theory, circuits (94-XX) 180 Fluid mechanics (76-XX) 151 Partial differential equations (35-XX) 122 Computer science (68-XX) 113 Operator theory (47-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 43 Operations research, mathematical programming (90-XX) 20 Mechanics of deformable solids (74-XX) 20 Biology and other natural sciences (92-XX) 19 Integral equations (45-XX) 17 Approximations and expansions (41-XX) 17 Functional analysis (46-XX) 15 Real functions (26-XX) 12 Statistics (62-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Ordinary differential equations (34-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Relativity and gravitational theory (83-XX) 6 Differential geometry (53-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Astronomy and astrophysics (85-XX) 6 Geophysics (86-XX) 5 Systems theory; control (93-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functions of a complex variable (30-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year