# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 44 Publications since 1993, including 1 Book
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#### Co-Authors

 10 single-authored 18 Roldán, Teo 5 García-Celayeta, Berta 3 März, Roswitha 3 Moler, José Antonio 3 Plo, Fernando 3 San Miguel, Miguel 2 Donat, Rosa 2 Happenhofer, Natalie 2 Koch, Othmar 2 Kupka, Friedrich 2 Martinez-Gavara, Anna 2 Tischendorf, Caren 1 Ketcheson, David I. 1 Kocsis, Tihamér A. 1 Mantas, José Miguel 1 Söderlind, Gustaf 1 Torrens, Juan José
all top 5

#### Serials

 9 Journal of Scientific Computing 5 Journal of Computational and Applied Mathematics 5 Applied Numerical Mathematics 3 BIT 2 Computers & Mathematics with Applications 2 Journal of Applied Probability 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Matrix Analysis and Applications 1 Journal of Computational Physics 1 Mathematics of Computation 1 Computing 1 Numerical Algorithms 1 SIAM Journal on Scientific Computing 1 Mathematical and Computer Modelling of Dynamical Systems 1 SEMA SIMAI Springer Series
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#### Fields

 40 Numerical analysis (65-XX) 32 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 350 times in 208 Documents Cited by Year
Representations of Runge-Kutta methods and strong stability preserving methods. Zbl 1097.65078
2005
On strong stability preserving time discretization methods. Zbl 1074.65095
2004
Logarithmic norms for matrix pencils. Zbl 0937.34002
1999
Strong stability for additive Runge-Kutta methods. Zbl 1126.65067
2006
Stability preserving integration of index-1 DAEs. Zbl 1041.65065
Higueras, I.; März, R.; Tischendorf, C.
2003
Differential algebraic equations with properly stated leading terms. Zbl 1068.34005
Higueras, I.; März, R.
2004
Monotonicity for Runge-Kutta methods: inner product norms. Zbl 1078.65554
2005
Stability preserving integration of index-2 DAEs. Zbl 1041.65066
Higueras, I.; März, R.; Tischendorf, C.
2003
Optimized strong stability preserving IMEX Runge-Kutta methods. Zbl 1294.65076
Higueras, Inmaculada; Happenhofer, Natalie; Koch, Othmar; Kupka, Friedrich
2014
Runge-Kutta methods for DAEs. A new approach. Zbl 0948.65081
1999
Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. Zbl 1241.85010
Kupka, Friedrich; Happenhofer, Natalie; Higueras, Inmaculada; Koch, Othmar
2012
On stability issues for IMEX schemes applied to 1D scalar hyperbolic equations with stiff reaction terms. Zbl 1246.35130
Donat, R.; Higueras, I.; Martínez-Gavara, A.
2011
How close can the logarithmic norm of a matrix pencil come to the spectral abscissa? Zbl 0969.15012
2000
Characterizing strong stability preserving additive Runge-Kutta methods. Zbl 1203.65109
2009
Urn models and differential algebraic equations. Zbl 1028.60026
Higueras, I.; Moler, J.; Plo, F.; San Miguel, M.
2003
Central limit theorems for generalized Pólya urn models. Zbl 1137.60009
Higueras, I.; Moler, J.; Plo, F.; San Miguel, M.
2006
Logarithmic norms and nonlinear DAE stability. Zbl 1019.65062
2002
Positivity-preserving and entropy-decaying IMEX methods. Zbl 1115.65343
2006
Contractivity/monotonicity for additive Runge-Kutta methods: inner product norms. Zbl 1100.65064
García-Celayeta, Berta; Higueras, Inmaculada; Roldán, Teo
2006
IRK methods for DAE: Starting algorithms. Zbl 0948.65082
1999
Starting algorithms for some DIRK methods. Zbl 0957.65071
2000
Design and implementation of predictors for additive semi-implicit Runge-Kutta methods. Zbl 1200.65066
Higueras, Inmaculada; Mantas, José Miguel; Roldán, Teo
2009
Strong stability for Runge-Kutta schemes on a class of nonlinear problems. Zbl 1292.65086
2013
On simplifying assumptions of Runge-Kutta methods for index 2 differential algebraic problems. Zbl 0823.65074
Higueras, I.
1995
IRK methods for index 2 and 3 DAEs: Starting algorithms. Zbl 1023.65084
Higueras, I.; Roldán, T.
2003
Starting algorithms for a class of RK methods for index-2 DAEs. Zbl 1086.65085
Higueras, I.; Roldán, T.
2005
Stage value predictors for additive and partitioned Runge-Kutta methods. Zbl 1083.65067
2006
New third order low-storage SSP explicit Runge-Kutta methods. Zbl 1418.65079
Higueras, I.; Roldán, T.
2019
Starting algorithms for low stage order RKN methods. Zbl 0999.65069
Gómez, I.; Higueras, I.; Roldán, T.
2002
Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements. Zbl 1342.65161
2016
Order barrier for low-storage DIRK methods with positive weights. Zbl 1398.65171
2018
Numerical methods for stiff index-3 DAEs. Zbl 1054.34004
Higueras, I.
2001
New third order low-storage SSP explicit Runge-Kutta methods. Zbl 1418.65079
Higueras, I.; Roldán, T.
2019
Order barrier for low-storage DIRK methods with positive weights. Zbl 1398.65171
2018
Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements. Zbl 1342.65161
2016
Optimized strong stability preserving IMEX Runge-Kutta methods. Zbl 1294.65076
Higueras, Inmaculada; Happenhofer, Natalie; Koch, Othmar; Kupka, Friedrich
2014
Strong stability for Runge-Kutta schemes on a class of nonlinear problems. Zbl 1292.65086
2013
Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. Zbl 1241.85010
Kupka, Friedrich; Happenhofer, Natalie; Higueras, Inmaculada; Koch, Othmar
2012
On stability issues for IMEX schemes applied to 1D scalar hyperbolic equations with stiff reaction terms. Zbl 1246.35130
Donat, R.; Higueras, I.; Martínez-Gavara, A.
2011
Characterizing strong stability preserving additive Runge-Kutta methods. Zbl 1203.65109
2009
Design and implementation of predictors for additive semi-implicit Runge-Kutta methods. Zbl 1200.65066
Higueras, Inmaculada; Mantas, José Miguel; Roldán, Teo
2009
Strong stability for additive Runge-Kutta methods. Zbl 1126.65067
2006
Central limit theorems for generalized Pólya urn models. Zbl 1137.60009
Higueras, I.; Moler, J.; Plo, F.; San Miguel, M.
2006
Positivity-preserving and entropy-decaying IMEX methods. Zbl 1115.65343
2006
Contractivity/monotonicity for additive Runge-Kutta methods: inner product norms. Zbl 1100.65064
García-Celayeta, Berta; Higueras, Inmaculada; Roldán, Teo
2006
Stage value predictors for additive and partitioned Runge-Kutta methods. Zbl 1083.65067
2006
Representations of Runge-Kutta methods and strong stability preserving methods. Zbl 1097.65078
2005
Monotonicity for Runge-Kutta methods: inner product norms. Zbl 1078.65554
2005
Starting algorithms for a class of RK methods for index-2 DAEs. Zbl 1086.65085
Higueras, I.; Roldán, T.
2005
On strong stability preserving time discretization methods. Zbl 1074.65095
2004
Differential algebraic equations with properly stated leading terms. Zbl 1068.34005
Higueras, I.; März, R.
2004
Stability preserving integration of index-1 DAEs. Zbl 1041.65065
Higueras, I.; März, R.; Tischendorf, C.
2003
Stability preserving integration of index-2 DAEs. Zbl 1041.65066
Higueras, I.; März, R.; Tischendorf, C.
2003
Urn models and differential algebraic equations. Zbl 1028.60026
Higueras, I.; Moler, J.; Plo, F.; San Miguel, M.
2003
IRK methods for index 2 and 3 DAEs: Starting algorithms. Zbl 1023.65084
Higueras, I.; Roldán, T.
2003
Logarithmic norms and nonlinear DAE stability. Zbl 1019.65062
2002
Starting algorithms for low stage order RKN methods. Zbl 0999.65069
Gómez, I.; Higueras, I.; Roldán, T.
2002
Numerical methods for stiff index-3 DAEs. Zbl 1054.34004
Higueras, I.
2001
How close can the logarithmic norm of a matrix pencil come to the spectral abscissa? Zbl 0969.15012
2000
Starting algorithms for some DIRK methods. Zbl 0957.65071
2000
Logarithmic norms for matrix pencils. Zbl 0937.34002
1999
Runge-Kutta methods for DAEs. A new approach. Zbl 0948.65081
1999
IRK methods for DAE: Starting algorithms. Zbl 0948.65082
1999
On simplifying assumptions of Runge-Kutta methods for index 2 differential algebraic problems. Zbl 0823.65074
Higueras, I.
1995
all top 5

#### Cited by 266 Authors

 22 Higueras, Inmaculada 14 März, Roswitha 11 Ketcheson, David I. 9 Gottlieb, Sigal 9 Kohaupt, Ludwig G. 9 Roldán, Teo 7 Spijker, Marc N. 7 Tischendorf, Caren 6 Jackiewicz, Zdzislaw 6 Linh, Vu Hoang 6 Moler, José Antonio 6 Plo, Fernando 5 Dwivedi, Ravi 5 Grant, Zachary J. 5 Hundsdorfer, Willem H. 5 Izzo, Giuseppe 5 Ranocha, Hendrik 5 Riaza, Ricardo 5 Sahai, Vivek 5 San Miguel, Miguel 5 Weinmüller, Ewa B. 4 Boscarino, Sebastiano 4 Bürger, Raimund 4 Jódar Sanchez, Lucas Antonio 4 Koch, Othmar 4 Kurganov, Alexander 4 Lamour, René 4 Mulet, Pep 4 Shadid, John N. 4 Shu, Chi-Wang 3 Balsara, Dinshaw S. 3 Carpenter, Mark H. 3 Chaudhry, Jehanzeb Hameed 3 Farzi, Javad 3 Ferracina, L. 3 Garain, Sudip K. 3 Guermond, Jean-Luc 3 Kennedy, Christopher A. 3 Kupka, Friedrich 3 Moradi, Afsaneh 3 Mozartova, Anna 3 Pareschi, Lorenzo 3 Popov, Boyan 3 Ruuth, Steven J. 3 Sastre, Jorge 3 Villada, Luis Miguel 2 Abreu, Eduardo 2 Balla, Katalin 2 Baumanns, Sascha 2 Bustos, Abel 2 Castañé-Selga, Rosa 2 Chertock, Alina E. 2 Company, Rafael 2 Dalcín, Lisandro D. 2 Defez, Emilio 2 Dimarco, Giacomo 2 Eid, Rudy 2 García-Celayeta, Berta 2 Hansen, Eskil 2 Happenhofer, Natalie 2 Huang, Juntao 2 Kubatko, Ethan J. 2 Lambert, Wanderson J. 2 Lóczi, Lajos 2 Lohmann, Boris 2 Macdonald, Colin B. 2 Montecinos, Gino I. 2 Parsani, Matteo 2 Raha, Soumyendu 2 Rang, Joachim 2 Saavedra, Laura 2 Sandu, Adrian 2 Seal, David C. 2 Selva Soto, Monica 2 Simeon, Bernd 2 Taflove, Allen 2 Truong, Nguyen Duy 2 Urmeneta, Henar 2 Xu, Yang 2 Yang, Yong 2 Yuan, Haiyan 2 Zhao, Jingjun 1 Abraham, Romain 1 Ait-Haddou, Rachid 1 Albi, Giacomo 1 Amano, Takanobu 1 Amdeberhan, Tewodros 1 Antohe, V. 1 Arévalo, Carmen 1 Ascher, Uri M. 1 Auzinger, Winfried 1 Ayaz, Fatma 1 Baldi Antognini, Alessandro 1 Ballester, Cristina 1 Bartel, Andreas 1 Barton, Paul I. 1 Beyn, Wolf-Jürgen 1 Bodestedt, Martin 1 Bonaventura, Luca 1 Boom, Pieter D. ...and 166 more Authors
all top 5

#### Cited in 64 Serials

 32 Applied Numerical Mathematics 26 Journal of Scientific Computing 16 Journal of Computational and Applied Mathematics 13 Journal of Computational Physics 12 Mathematics of Computation 8 Computers & Mathematics with Applications 8 SIAM Journal on Numerical Analysis 5 Applied Mathematics and Computation 5 BIT 5 Journal of Applied Probability 5 SIAM Journal on Scientific Computing 3 Computer Methods in Applied Mechanics and Engineering 3 Linear and Multilinear Algebra 3 Numerische Mathematik 3 Applied Mathematics Letters 3 International Journal of Computer Mathematics 3 Mathematical and Computer Modelling of Dynamical Systems 2 International Journal of Control 2 Journal of Mathematical Analysis and Applications 2 Acta Mathematica Vietnamica 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 Abstract and Applied Analysis 1 Computer Physics Communications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 The Annals of Statistics 1 Journal of Differential Equations 1 Journal of Statistical Planning and Inference 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics & Probability Letters 1 Numerical Methods for Partial Differential Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 Test 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 European Journal of Control 1 Honam Mathematical Journal 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Stochastics and Dynamics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 Asian-European Journal of Mathematics 1 International Journal of Differential Equations 1 Set-Valued and Variational Analysis 1 Journal of Theoretical Biology 1 Open Mathematics 1 Cogent Mathematics 1 Communications on Applied Mathematics and Computation
all top 5

#### Cited in 30 Fields

 151 Numerical analysis (65-XX) 75 Ordinary differential equations (34-XX) 39 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Probability theory and stochastic processes (60-XX) 11 Special functions (33-XX) 8 Mechanics of particles and systems (70-XX) 7 Systems theory; control (93-XX) 6 Statistics (62-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 5 Optics, electromagnetic theory (78-XX) 4 Astronomy and astrophysics (85-XX) 4 Information and communication theory, circuits (94-XX) 3 Approximations and expansions (41-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Functional analysis (46-XX)