## Marquina, Antonio

Compute Distance To:
 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 668 Co-Co-Authors
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### 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.
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### 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
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### 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)

### Citations contained in zbMATH Open

34 Publications have been cited 918 times in 722 Documents Cited by Year
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
2000
Recurrence relations for rational cubic methods. II: The Chebyshev method. Zbl 0714.65061
Candela, V.; Marquina, A.
1990
Recurrence relations for rational cubic methods. I: The Halley method. Zbl 0701.65043
Candela, V.; Marquina, A.
1990
Capturing shock reflections: An improved flux formula. Zbl 0847.76049
Donat, Rosa; Marquina, Antonio
1996
Local piecewise hyperbolic reconstruction of numerical fluxes for nonlinear scalar conservation laws. Zbl 0805.65088
Marquina, Antonio
1994
Power ENO methods: A fifth-order accurate weighted power ENO method. Zbl 1044.65071
Serna, Susana; Marquina, Antonio
2004
Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal. Zbl 0969.65081
Marquina, Antonio; Osher, Stanley
2000
A isobaric fix for the overheating problem in multimaterial compressible flows. Zbl 0933.76075
Fedkiw, Ronald P.; Marquina, Antonio; Merriman, Barry
1999
A flux-split algorithm applied to conservative models for multicomponent compressible flows. Zbl 1064.76078
Marquina, Antonio; Mulet, Pep
2003
Image super-resolution by TV-regularization and Bregman iteration. Zbl 1203.94014
Marquina, Antonio; Osher, Stanley J.
2008
A flux-split algorithm applied to relativistic flows. Zbl 0930.76054
Donat, R.; Font, J. A.; Ibáñez, J. M.; Marquina, A.
1998
A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function. Zbl 1299.76181
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio
2014
Capturing shock waves in inelastic granular gases. Zbl 1138.76378
Serna, Susana; Marquina, Antonio
2005
Diffusion front capturing schemes for a class of Fokker-Planck equations: application to the relativistic heat equation. Zbl 1423.35365
Marquina, Antonio
2010
Nonlinear inverse scale space methods for total variation blind deconvolution. Zbl 1177.65193
Marquina, Antonio
2009
Barrelledness conditions on $$c_0(E)$$. Zbl 0396.46005
Marquina, A.; Sanz Serna, J. M.
1979
The convergence of the perturbed Newton method and its application for ill-conditioned problems. Zbl 1255.65095
Peris, R.; Marquina, A.; Candela, V.
2011
Approximate Osher-Solomon schemes for hyperbolic systems. Zbl 1410.76325
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio
2016
Equilibrium real gas computations using Marquina’s scheme. Zbl 1047.76084
Stiriba, Youssef; Marquina, Antonio; Donat, Rosa
2003
Shooting methods for one-dimensional diffusion-absorption problems. Zbl 0821.65062
Martínez, V.; Marquina, A.; Donat, R.
1994
A note on the closed graph theorem. Zbl 0351.46003
Marquina, Antonio
1977
On bornological c//0(E) spaces. Zbl 0514.46025
Marquina, Antonio; Schmets, Jean
1982
Geometric series in incomplete normed algebras. Zbl 0553.46032
Fuster, R.; Marquina, A.
1984
Capturing blast waves in granular flow. Zbl 1194.76100
Serna, Susana; Marquina, Antonio
2007
Approximate Osher-Solomon schemes for hyperbolic systems. Zbl 1402.35019
Castro, M. J.; Gallardo, J. M.; Marquina, A.
2016
Anomalous wave structure in magnetized materials described by non-convex equations of state. Zbl 1321.76079
Serna, Susana; Marquina, Antonio
2014
Barrelledness conditions on $$c_0(E)$$. Zbl 0387.46004
Marquina, A.; Sanz Serna, J. M.
1979
Jacobian-free approximate solvers for hyperbolic systems: application to relativistic magnetohydrodynamics. Zbl 1411.65119
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio
2017
Shooting methods for 1D steady-state free boundary problems. Zbl 0769.65057
Marquina, A.; Martínez, V.
1993
Computation of travelling wave solutions of scalar conservation laws with a stiff source term. Zbl 1048.76041
Martínez, Vicente; Marquina, Antonio
2003
On quasibarrelled spaces. Zbl 0281.46004
Marquina, A.; Perez Carreras, P.
1974
Afternotes on PHM: Harmonic ENO methods. Zbl 1065.65107
Marquina, Antonio; Serna, Susana
2003
Fronts propagating with signal dependent speed in limited diffusion and related Hamilton-Jacobi formulations. Zbl 1394.35132
Serna, Susana; Marquina, Antonio
2013
On the numerical approximation of the length of (implicit) level curves. Zbl 1203.65040
Candela, Vicente F.; Marquina, Antonio
2008
Jacobian-free approximate solvers for hyperbolic systems: application to relativistic magnetohydrodynamics. Zbl 1411.65119
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio
2017
Approximate Osher-Solomon schemes for hyperbolic systems. Zbl 1410.76325
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio
2016
Approximate Osher-Solomon schemes for hyperbolic systems. Zbl 1402.35019
Castro, M. J.; Gallardo, J. M.; Marquina, A.
2016
A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function. Zbl 1299.76181
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio
2014
Anomalous wave structure in magnetized materials described by non-convex equations of state. Zbl 1321.76079
Serna, Susana; Marquina, Antonio
2014
Fronts propagating with signal dependent speed in limited diffusion and related Hamilton-Jacobi formulations. Zbl 1394.35132
Serna, Susana; Marquina, Antonio
2013
The convergence of the perturbed Newton method and its application for ill-conditioned problems. Zbl 1255.65095
Peris, R.; Marquina, A.; Candela, V.
2011
Diffusion front capturing schemes for a class of Fokker-Planck equations: application to the relativistic heat equation. Zbl 1423.35365
Marquina, Antonio
2010
Nonlinear inverse scale space methods for total variation blind deconvolution. Zbl 1177.65193
Marquina, Antonio
2009
Image super-resolution by TV-regularization and Bregman iteration. Zbl 1203.94014
Marquina, Antonio; Osher, Stanley J.
2008
On the numerical approximation of the length of (implicit) level curves. Zbl 1203.65040
Candela, Vicente F.; Marquina, Antonio
2008
Capturing blast waves in granular flow. Zbl 1194.76100
Serna, Susana; Marquina, Antonio
2007
Capturing shock waves in inelastic granular gases. Zbl 1138.76378
Serna, Susana; Marquina, Antonio
2005
Power ENO methods: A fifth-order accurate weighted power ENO method. Zbl 1044.65071
Serna, Susana; Marquina, Antonio
2004
A flux-split algorithm applied to conservative models for multicomponent compressible flows. Zbl 1064.76078
Marquina, Antonio; Mulet, Pep
2003
Equilibrium real gas computations using Marquina’s scheme. Zbl 1047.76084
Stiriba, Youssef; Marquina, Antonio; Donat, Rosa
2003
Computation of travelling wave solutions of scalar conservation laws with a stiff source term. Zbl 1048.76041
Martínez, Vicente; Marquina, Antonio
2003
Afternotes on PHM: Harmonic ENO methods. Zbl 1065.65107
Marquina, Antonio; Serna, Susana
2003
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
2000
Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal. Zbl 0969.65081
Marquina, Antonio; Osher, Stanley
2000
A isobaric fix for the overheating problem in multimaterial compressible flows. Zbl 0933.76075
Fedkiw, Ronald P.; Marquina, Antonio; Merriman, Barry
1999
A flux-split algorithm applied to relativistic flows. Zbl 0930.76054
Donat, R.; Font, J. A.; Ibáñez, J. M.; Marquina, A.
1998
Capturing shock reflections: An improved flux formula. Zbl 0847.76049
Donat, Rosa; Marquina, Antonio
1996
Local piecewise hyperbolic reconstruction of numerical fluxes for nonlinear scalar conservation laws. Zbl 0805.65088
Marquina, Antonio
1994
Shooting methods for one-dimensional diffusion-absorption problems. Zbl 0821.65062
Martínez, V.; Marquina, A.; Donat, R.
1994
Shooting methods for 1D steady-state free boundary problems. Zbl 0769.65057
Marquina, A.; Martínez, V.
1993
Recurrence relations for rational cubic methods. II: The Chebyshev method. Zbl 0714.65061
Candela, V.; Marquina, A.
1990
Recurrence relations for rational cubic methods. I: The Halley method. Zbl 0701.65043
Candela, V.; Marquina, A.
1990
Geometric series in incomplete normed algebras. Zbl 0553.46032
Fuster, R.; Marquina, A.
1984
On bornological c//0(E) spaces. Zbl 0514.46025
Marquina, Antonio; Schmets, Jean
1982
Barrelledness conditions on $$c_0(E)$$. Zbl 0396.46005
Marquina, A.; Sanz Serna, J. M.
1979
Barrelledness conditions on $$c_0(E)$$. Zbl 0387.46004
Marquina, A.; Sanz Serna, J. M.
1979
A note on the closed graph theorem. Zbl 0351.46003
Marquina, Antonio
1977
On quasibarrelled spaces. Zbl 0281.46004
Marquina, A.; Perez Carreras, P.
1974
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### Cited by 1,051 Authors

 47 Argyros, Ioannis Konstantinos 26 Amat, Sergio P. 25 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 Shu, Chi-Wang 11 Busquier, Sonia 11 Chen, Ke 11 Magreñán, Ángel Alberto 10 Parés Madroñal, Carlos 10 Tang, Huazhong 9 Baeza, Antonio 9 Candela, Vicente F. 9 Donat, Rosa 9 Gallardo, José M. 9 Lv, Xiaoguang 9 Zorío, David 8 Fedkiw, Ronald P. 8 Huang, Ting-Zhu 8 Laghrib, Amine 8 Liandrat, Jacques 8 Serna, Susana 8 Tai, Xuecheng 7 Guo, Zhichang 7 Liu, Jun 7 Pang, Zhifeng 7 Wu, Boying 6 Gu, Chuanqing 6 Gupta, Dharmendra Kumar 6 Hadri, Aissam 6 Hakim, Abdelilah 6 Osher, Stanley Joel 6 Qamar, Shamsul 6 Schönlieb, Carola-Bibiane 6 Trillo, Juan Carlos 5 Behl, Ramandeep 5 Burger, Martin 5 Bürger, Raimund 5 Kang, Myungjoo 5 Ling, Yonghui 5 Liu, Tiegang 5 Neta, Beny 5 Prashanth, Maroju 5 Romero, Natalia 5 Shen, Zuowei 5 Shyue, Keh-Ming 5 Steidl, Gabriele 5 Wei, Guowei 5 Yi, Dokkyun 5 Zhao, Xile 5 Zheng, Lin 4 Bhuruth, Muddun 4 Caselles Costa, Vicent 4 Dadourian, Karine 4 Ji, Hui 4 Jiang, Le 4 Jung, Miyoun 4 Khoo, Boo Cheong 4 Liu, Xinwu 4 Lou, Yifei 4 Peer, Arshad Ahmud Iqbal 4 Peris, Rosa M. 4 Salanova, M. Amparo 4 Shi, Baoli 4 Sicilia, Juan Antonio 4 Sun, Jiebao 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 Chun, Changbum 3 Dauhoo, Muhammad Zaid 3 Deng, Xi 3 Dong, Fangfang 3 Dumbser, Michael 3 Farhat, Charbel H. 3 Font, José A. 3 Huang, Jin 3 Iollo, Angelo 3 Jaiswal, Jai Prakash 3 Liu, Pengfei 3 Liu, Yuan 3 Ma, Tian-Hui 3 Motsa, Sandile Sydney 3 Orcos, Lara 3 Ortega, Sergio 3 Papafitsoros, Konstantinos 3 Parhi, Sanjaya Kumar ...and 951 more Authors
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### Cited in 164 Serials

 99 Journal of Computational Physics 52 Journal of Scientific Computing 41 Applied Mathematics and Computation 29 Numerical Algorithms 28 Computers & Mathematics with Applications 25 Journal of Computational and Applied Mathematics 23 Journal of Mathematical Imaging and Vision 21 Applied Numerical Mathematics 18 Computers and Fluids 14 International Journal of Computer Mathematics 12 SIAM Journal on Imaging Sciences 11 Mathematical Problems in Engineering 10 Inverse Problems and Imaging 9 Communications in Computational Physics 9 S$$\vec{\text{e}}$$MA Journal 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 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 Journal of the Franklin Institute 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 The ANZIAM Journal 2 Journal of Applied Mathematics 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 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society ...and 64 more Serials
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### Cited in 38 Fields

 475 Numerical analysis (65-XX) 197 Information and communication theory, circuits (94-XX) 176 Fluid mechanics (76-XX) 143 Partial differential equations (35-XX) 110 Computer science (68-XX) 109 Operator theory (47-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 38 Operations research, mathematical programming (90-XX) 20 Biology and other natural sciences (92-XX) 19 Mechanics of deformable solids (74-XX) 18 Integral equations (45-XX) 16 Functional analysis (46-XX) 15 Approximations and expansions (41-XX) 14 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 Astronomy and astrophysics (85-XX) 6 Geophysics (86-XX) 5 Differential geometry (53-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Systems theory; control (93-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-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 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX)