## Frontiers in Applied Mathematics

 Short Title: Front. Appl. Math. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA Online: https://epubs.siam.org/series/fr Comments: Book series; No longer indexed
 Documents Indexed: 35 Publications (1983–2008)
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### Latest Volumes

 35 (2008) 34 (2007) 33 (2006) 32 (2005) 31 (2005) 30 (2005) 29 (2003) 28 (2003) 27 (2003) 26 (2003) 25 (2002) 24 (2002) 23 (2002) 22 (2001) 21 (2000) 20 (2000) 19 (2000) 18 (1999) 17 (1997) 16 (1995) 15 (1994) 14 (1993) 13 (1993) 12 (1993) 11 (1992) 10 (1992) 9 (1991) 8 (1991) 7 (1990) 6 (1989) 5 (1989) 4 (1988) 3 (1987) 2 (1985) 1 (1983)
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### Authors / Editors

 3 Banks, Harvey Thomas 2 Bank, Randolph E. 2 Kelley, Carl T. 2 McCormick, Steve Fahrney 2 Smith, Ralph C. 2 Van Loan, Charles Francis 1 Achdou, Yves 1 Bao, Gang 1 Batzel, Jerry J. 1 Briggs, William L. 1 Buckmaster, John David 1 Buksas, Michael W. 1 Castillo-Chavez, Carlos 1 Castillo, José E. 1 Coleman, Thomas F. 1 Cook, L. Pamela 1 Cowsar, Lawrence C. 1 Day, William H. E. 1 Demetriou, Michael A. 1 Ewing, Richard Edward 1 Fickett, Wildon 1 Greenbaum, Anne 1 Griewank, Andreas 1 Grossman, Robert L. 1 Hemker, Pieter W. 1 Höllig, Klaus H. 1 Iannelli, Mimmo 1 Ito, Kazufumi 1 Johnson, Gary M. 1 Kappel, Franz 1 Lewis, Frank Leroy 1 Li, Zhilin 1 Lin, Tao 1 Mandel, Jan 1 Martcheva, Maia 1 Masters, Wen Chen 1 McMorris, Frederick R. 1 Milner, Fabio Augusto 1 Moré, Jorge J. 1 Oostveen, Job C. 1 Pironneau, Olivier 1 Rivière, Beatrice M. 1 Rüde, Ulrich 1 Ruge, John W. 1 Schneditz, Daniel 1 Šelmić, Rastko R. 1 Stanley, Lisa G. 1 Stewart, Dawn L. 1 Stüben, Klaus 1 Tran, Hien T. 1 Van Huffel, Sabine 1 Vandewalle, Joos P. 1 Vogel, Curtis R. 1 Wright, Stephen J.
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### Fields

 19 Numerical analysis (65-XX) 9 General and overarching topics; collections (00-XX) 5 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 5 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 3,168 times in 3,084 Documents Cited by Year
Iterative methods for linear and nonlinear equations. Zbl 0832.65046
Kelley, C. T.
1995
Discontinuous Galerkin methods for solving elliptic and parabolic equations. Theory and implementation. Zbl 1153.65112
Rivière, Béatrice
2008
Computational methods for inverse problems. Zbl 1008.65103
Vogel, Curtis R.
2002
Iterative methods for solving linear systems. Zbl 0883.65022
Greenbaum, Anne
1997
Iterative methods for optimization. Zbl 0934.90082
Kelley, C. T.
1999
Evaluating derivatives. Principles and techniques of algorithmic differentiation. Zbl 0958.65028
Griewank, Andreas
2000
Computational frameworks for the fast Fourier transform. Zbl 0757.65154
Van Loan, Charles F.
1992
The total least squares problem: computational aspects and analysis. Zbl 0789.62054
van Huffel, Sabine; Vandewalle, Joos
1991
Finite element methods with $$B$$-splines. Zbl 1020.65085
Höllig, Klaus
2003
Computational methods for option pricing. Zbl 1078.91008
Achdou, Yves; Pironneau, Olivier
2005
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
2006
The mathematics of reservoir simulation. Zbl 0533.00031
1983
Multilevel adaptive methods for partial differential equations. Zbl 0707.65080
McCormick, Stephen F.
1989
Multigrid methods. Zbl 0659.65094
1987
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 6.0. Zbl 0717.68001
Bank, Randolph E.
1990
Gender-structured population modeling. Mathematical methods, numerics, and simulations. Zbl 1107.91076
Iannelli, M.; Martcheva, M.; Milner, F. A.
2005
Smart material systems. Model development. Zbl 1086.74002
Smith, Ralph C.
2005
Axiomatic consensus theory in group choice and biomathematics. Zbl 1031.92001
Day, William H. E.; McMorris, F. R.
2003
Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts. Zbl 1008.78500
Banks, H. T.; Buksas, M. W.; Lin, T.
2000
Mathematical modeling in optical science. Proceedings of a minisymposium on optics at SIAM’s annual meeting, Stanford Univ., Palo Alto, CA, USA, 1997. Zbl 0964.00050
2001
Mathematical and computational techniques for multilevel adaptive methods. Zbl 0857.65127
Rüde, Ulrich
1993
Optimization software guide. Zbl 0830.65050
Moré, Jorge J.; Wright, Stephen J.
1993
Neuro-fuzzy control of industrial systems with actuator nonlinearities. Zbl 1010.93001
Lewis, Frank L.; Selmic, Rastko; Campos, J.
2002
Strongly stabilizable distributed parameter systems. Zbl 0964.93004
Oostveen, Job
2000
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 7.0. Zbl 0860.65113
Bank, Randolph E.
1994
Cardiovascular and respiratory systems. Modeling, analysis, and control. Zbl 1182.92017
Batzel, Jerry J.; Kappel, Franz; Schneditz, Daniel; Tran, Hien T.
2007
The mathematics of combustion. Zbl 0624.76082
1985
Design sensitivity analysis. Computational issues of sensitivity equation methods. Zbl 1012.65117
Stanley, Lisa G.; Stewart, Dawn L.
2002
Bioterrorism. Mathematical modeling applications in homeland security. Zbl 1029.00020
2003
Handbook for matrix computations. Zbl 0681.65009
Coleman, Thomas F.; Van Loan, Charles F.
1988
Mathematical aspects of numerical grid generation. Based on the papers presented at the two minisymposia on numerical grid generation: mathematical aspects, parts I and II, held at the SIAM annual meeting in Minneapolis, MN, USA, in July 1988. Zbl 0743.65002
1991
Symbolic computation: applications to scientific computing. Zbl 0713.68004
1989
Transonic aerodynamics: problems in asymptotic theory. Zbl 0777.76005
1993
Research directions in distributed parameter systems. Selected papers of the conference “Future directions in distributed parameters systems”, North Carolina State Univ., Raleigh, NC, October 5–7, 2000. Zbl 1029.00079
2003
Discontinuous Galerkin methods for solving elliptic and parabolic equations. Theory and implementation. Zbl 1153.65112
Rivière, Béatrice
2008
Cardiovascular and respiratory systems. Modeling, analysis, and control. Zbl 1182.92017
Batzel, Jerry J.; Kappel, Franz; Schneditz, Daniel; Tran, Hien T.
2007
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
2006
Computational methods for option pricing. Zbl 1078.91008
Achdou, Yves; Pironneau, Olivier
2005
Gender-structured population modeling. Mathematical methods, numerics, and simulations. Zbl 1107.91076
Iannelli, M.; Martcheva, M.; Milner, F. A.
2005
Smart material systems. Model development. Zbl 1086.74002
Smith, Ralph C.
2005
Finite element methods with $$B$$-splines. Zbl 1020.65085
Höllig, Klaus
2003
Axiomatic consensus theory in group choice and biomathematics. Zbl 1031.92001
Day, William H. E.; McMorris, F. R.
2003
Bioterrorism. Mathematical modeling applications in homeland security. Zbl 1029.00020
2003
Research directions in distributed parameter systems. Selected papers of the conference “Future directions in distributed parameters systems”, North Carolina State Univ., Raleigh, NC, October 5–7, 2000. Zbl 1029.00079
2003
Computational methods for inverse problems. Zbl 1008.65103
Vogel, Curtis R.
2002
Neuro-fuzzy control of industrial systems with actuator nonlinearities. Zbl 1010.93001
Lewis, Frank L.; Selmic, Rastko; Campos, J.
2002
Design sensitivity analysis. Computational issues of sensitivity equation methods. Zbl 1012.65117
Stanley, Lisa G.; Stewart, Dawn L.
2002
Mathematical modeling in optical science. Proceedings of a minisymposium on optics at SIAM’s annual meeting, Stanford Univ., Palo Alto, CA, USA, 1997. Zbl 0964.00050
2001
Evaluating derivatives. Principles and techniques of algorithmic differentiation. Zbl 0958.65028
Griewank, Andreas
2000
Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts. Zbl 1008.78500
Banks, H. T.; Buksas, M. W.; Lin, T.
2000
Strongly stabilizable distributed parameter systems. Zbl 0964.93004
Oostveen, Job
2000
Iterative methods for optimization. Zbl 0934.90082
Kelley, C. T.
1999
Iterative methods for solving linear systems. Zbl 0883.65022
Greenbaum, Anne
1997
Iterative methods for linear and nonlinear equations. Zbl 0832.65046
Kelley, C. T.
1995
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 7.0. Zbl 0860.65113
Bank, Randolph E.
1994
Mathematical and computational techniques for multilevel adaptive methods. Zbl 0857.65127
Rüde, Ulrich
1993
Optimization software guide. Zbl 0830.65050
Moré, Jorge J.; Wright, Stephen J.
1993
Transonic aerodynamics: problems in asymptotic theory. Zbl 0777.76005
1993
Computational frameworks for the fast Fourier transform. Zbl 0757.65154
Van Loan, Charles F.
1992
The total least squares problem: computational aspects and analysis. Zbl 0789.62054
van Huffel, Sabine; Vandewalle, Joos
1991
Mathematical aspects of numerical grid generation. Based on the papers presented at the two minisymposia on numerical grid generation: mathematical aspects, parts I and II, held at the SIAM annual meeting in Minneapolis, MN, USA, in July 1988. Zbl 0743.65002
1991
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 6.0. Zbl 0717.68001
Bank, Randolph E.
1990
Multilevel adaptive methods for partial differential equations. Zbl 0707.65080
McCormick, Stephen F.
1989
Symbolic computation: applications to scientific computing. Zbl 0713.68004
1989
Handbook for matrix computations. Zbl 0681.65009
Coleman, Thomas F.; Van Loan, Charles F.
1988
Multigrid methods. Zbl 0659.65094
1987
The mathematics of combustion. Zbl 0624.76082
1985
The mathematics of reservoir simulation. Zbl 0533.00031
1983
all top 5

### Cited by 4,982 Authors

 29 Yuan, Yirang 23 Banks, Harvey Thomas 21 Rivière, Beatrice M. 19 Li, Zhilin 18 Powers, Robert C. 18 Wohlmuth, Barbara I. 15 Kelley, Carl T. 15 Nagy, James Gerard 14 Kalita, Jiten C. 14 Karasözen, Bülent 14 Landi, Germana 14 Lin, Tao 14 McMorris, Frederick R. 14 Serra-Capizzano, Stefano 13 Chacón, Luis 13 Chen, Ke 13 Chung, Tsz Shun Eric 13 Wei, Yimin 12 Hughes, Thomas J. R. 12 Loli Piccolomini, Elena 12 Uzunca, Murat 11 Bardsley, Johnathan M. 11 Brenner, Susanne Cecelia 11 Efendiev, Yalchin R. 10 Han, Yuji 10 Kevrekidis, Ioannis George 10 Li, Changfeng 10 Pironneau, Olivier 10 Schillinger, Dominik 10 Srinivas Kumar, V. V. K. 10 Van Huffel, Sabine 10 Wathen, Andrew John 9 Bai, Zhongzhi 9 Bao, Gang 9 Dehghan Takht Fooladi, Mehdi 9 He, Yinnian 9 Lv, Xiaoguang 9 Mulder, Henry Martyn 9 Rank, Ernst 9 Walther, Andrea 8 Antonietti, Paola Francesca 8 Ascher, Uri M. 8 Chaudhary, Sudhakar 8 Chen, Yanping 8 Curtain, Ruth Frances 8 Evans, John A. 8 Ferrer, Esteban 8 Frank, Florian 8 Gibson, Nathan L. 8 Ginting, Victor 8 Hansen, Per Christian 8 Hoppe, Ronald H. W. 8 Huang, Ting-Zhu 8 Huang, Yunqing 8 Knoll, Dana A. 8 Liu, Hailiang 8 Thieme, Horst R. 8 Yücel, Hamdullah 7 Adjerid, Slimane 7 Antil, Harbir 7 Bazilevs, Yuri 7 Bokil, Vrushali A. 7 Bücker, H. Martin 7 Chung, Julianne M. 7 de Sturler, Eric 7 Fasano, Giovanni 7 Feng, Xiaobing 7 Haber, Eldad 7 Herzog, Roland 7 Ji, Haifeng 7 Jia, Zhongxiao 7 Langer, Ulrich 7 Lapenta, Giovanni 7 Li, Rencang 7 Martínez, José Mario 7 Nievergelt, Yves 7 Renaut, Rosemary Anne 7 Scovazzi, Guglielmo 7 Siettos, Constantinos I. 7 Simoncini, Valeria 7 Stoll, Martin 7 Xu, Yan 7 Yang, Jiming 7 Zhang, Zhimin 6 Axelsson, Axel Owe Holger 6 Baccouch, Mahboub 6 Barlow, Jesse L. 6 Benner, Peter 6 Bialecki, Bernard 6 Bischof, Christian H. 6 Chen, Jinhai 6 Chinesta, Francisco 6 Galligani, Emanuele 6 Geiser, Jürgen 6 Griewank, Andreas 6 Guo, Ruchi 6 Harari, Isaac 6 Hofer, Christoph D. 6 Klar, Axel 6 Selland Kleppe, Tore ...and 4,882 more Authors
all top 5

### Cited in 402 Journals

 207 Journal of Computational Physics 184 Journal of Computational and Applied Mathematics 128 Computer Methods in Applied Mechanics and Engineering 113 Journal of Scientific Computing 89 Applied Mathematics and Computation 80 Computers & Mathematics with Applications 71 Numerical Algorithms 70 Linear Algebra and its Applications 70 SIAM Journal on Scientific Computing 69 Applied Numerical Mathematics 52 Computational Optimization and Applications 51 International Journal for Numerical Methods in Engineering 44 Numerische Mathematik 43 Mathematics of Computation 43 BIT 40 Numerical Linear Algebra with Applications 38 Numerical Methods for Partial Differential Equations 35 Inverse Problems in Science and Engineering 34 Optimization Methods & Software 33 International Journal of Computer Mathematics 32 Automatica 29 Inverse Problems 28 Journal of Optimization Theory and Applications 26 International Journal for Numerical Methods in Fluids 24 Computer Physics Communications 24 Mathematics and Computers in Simulation 23 SIAM Journal on Matrix Analysis and Applications 22 Applied Mathematical Modelling 22 Computational Statistics and Data Analysis 21 Computers and Fluids 21 SIAM Journal on Numerical Analysis 21 Advances in Computational Mathematics 21 Communications in Computational Physics 20 Mathematical Problems in Engineering 19 Computing 18 Computational Mechanics 18 Computational Geosciences 15 Journal of Mathematical Biology 15 Applied Mathematics Letters 15 Mathematical Programming. Series A. Series B 15 Inverse Problems and Imaging 14 Journal of Mathematical Analysis and Applications 13 Calcolo 13 Journal of Global Optimization 13 Computational and Applied Mathematics 13 Engineering Analysis with Boundary Elements 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Applied Mathematics and Mechanics. (English Edition) 12 Mathematical and Computer Modelling 12 Journal of Mathematical Imaging and Vision 11 Mathematical Biosciences 11 Numerical Functional Analysis and Optimization 11 SIAM Journal on Optimization 11 Communications in Numerical Methods in Engineering 11 SIAM/ASA Journal on Uncertainty Quantification 10 Mathematical Methods in the Applied Sciences 10 Bulletin of Mathematical Biology 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Nonlinear Analysis. Real World Applications 10 Journal of Theoretical Biology 9 Applicable Analysis 9 Journal of the Franklin Institute 9 Computer Aided Geometric Design 9 Journal of Inverse and Ill-Posed Problems 9 Computing and Visualization in Science 9 Journal of Applied Mathematics and Computing 9 International Journal of Numerical Analysis and Modeling 9 SIAM Journal on Imaging Sciences 8 Discrete Applied Mathematics 8 ETNA. Electronic Transactions on Numerical Analysis 8 Communications in Nonlinear Science and Numerical Simulation 8 Discrete and Continuous Dynamical Systems. Series B 7 Systems & Control Letters 7 Journal of Integral Equations and Applications 7 Annals of Operations Research 7 Japan Journal of Industrial and Applied Mathematics 7 Computational Mathematics and Mathematical Physics 7 European Journal of Operational Research 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Quantitative Finance 7 Journal of Numerical Mathematics 7 Multiscale Modeling & Simulation 7 International Journal of Computational Methods 6 International Journal of Engineering Science 6 Chaos, Solitons and Fractals 6 Applied Mathematics and Optimization 6 Theoretical Computer Science 6 Theoretical Population Biology 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Journal of Economic Dynamics & Control 6 SIAM Review 6 Applied and Computational Harmonic Analysis 6 International Journal of Computer Vision 6 International Journal of Applied Mathematics and Computer Science 6 Optimization and Engineering 6 Archives of Computational Methods in Engineering 6 Journal of Applied Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Biological Dynamics 6 Optimization Letters ...and 302 more Journals
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### Cited in 57 Fields

 2,087 Numerical analysis (65-XX) 693 Partial differential equations (35-XX) 535 Fluid mechanics (76-XX) 314 Operations research, mathematical programming (90-XX) 279 Mechanics of deformable solids (74-XX) 211 Calculus of variations and optimal control; optimization (49-XX) 193 Biology and other natural sciences (92-XX) 160 Computer science (68-XX) 159 Statistics (62-XX) 154 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 142 Systems theory; control (93-XX) 140 Linear and multilinear algebra; matrix theory (15-XX) 122 Information and communication theory, circuits (94-XX) 120 Optics, electromagnetic theory (78-XX) 89 Geophysics (86-XX) 86 Probability theory and stochastic processes (60-XX) 70 Ordinary differential equations (34-XX) 67 Statistical mechanics, structure of matter (82-XX) 61 Classical thermodynamics, heat transfer (80-XX) 55 Integral equations (45-XX) 53 Operator theory (47-XX) 39 Dynamical systems and ergodic theory (37-XX) 34 Approximations and expansions (41-XX) 27 Combinatorics (05-XX) 22 Mechanics of particles and systems (70-XX) 15 Quantum theory (81-XX) 14 Integral transforms, operational calculus (44-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 8 History and biography (01-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Real functions (26-XX) 6 Special functions (33-XX) 6 Functional analysis (46-XX) 6 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 Difference and functional equations (39-XX) 5 Convex and discrete geometry (52-XX) 4 Mathematical logic and foundations (03-XX) 4 Group theory and generalizations (20-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Sequences, series, summability (40-XX) 4 Geometry (51-XX) 4 Mathematics education (97-XX) 3 Field theory and polynomials (12-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 2 Relativity and gravitational theory (83-XX) 1 (04-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX)