# zbMATH — the first resource for mathematics

## 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 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 Greenbaum, Anne 1 Griewank, Andreas 1 Grossman, Robert L. 1 Höllig, Klaus H. 1 Iannelli, Mimmo 1 Ito, Kazufumi 1 Kappel, Franz 1 Lewis, Frank Leroy 1 Li, Zhilin 1 Lin, Tao 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 Schneditz, Daniel 1 Šelmić, Rastko R. 1 Stanley, Lisa G. 1 Stewart, Dawn L. 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) 3 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

33 Publications have been cited 2,852 times in 2,775 Documents Cited by Year
Iterative methods for linear and nonlinear equations. Zbl 0832.65046
Kelley, C. T.
1995
Computational methods for inverse problems. Zbl 1008.65103
Vogel, Curtis R.
2002
Discontinuous Galerkin methods for solving elliptic and parabolic equations. Theory and implementation. Zbl 1153.65112
Rivière, Béatrice
2008
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
Ewing, Richard E. (ed.)
1983
Multilevel adaptive methods for partial differential equations. Zbl 0707.65080
McCormick, Stephen F.
1989
Multigrid methods. Zbl 0659.65094
McCormick, Stephen F. (ed.)
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
Bao, Gang (ed.); Cowsar, Lawrence (ed.); Masters, Wen (ed.)
2001
Mathematical and computational techniques for multilevel adaptive methods. Zbl 0857.65127
Rüde, Ulrich
1993
Neuro-fuzzy control of industrial systems with actuator nonlinearities. Zbl 1010.93001
Lewis, Frank L.; Selmic, Rastko; Campos, J.
2002
Optimization software guide. Zbl 0830.65050
Moré, Jorge J.; Wright, Stephen J.
1993
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 7.0. Zbl 0860.65113
Bank, Randolph E.
1994
Strongly stabilizable distributed parameter systems. Zbl 0964.93004
Oostveen, Job
2000
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
Buckmaster, John D. (ed.)
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
Banks, H. T. (ed.); Castillo-Chavez, Carlos (ed.)
2003
Handbook for matrix computations. Zbl 0681.65009
Coleman, Thomas F.; Van Loan, Charles F.
1988
Symbolic computation: applications to scientific computing. Zbl 0713.68004
Grossman, Robert (ed.)
1989
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
Castillo, José E. (ed.)
1991
Transonic aerodynamics: problems in asymptotic theory. Zbl 0777.76005
Cook, L. Pamela (ed.)
1993
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
Banks, H. T.; Castillo-Chavez, Carlos
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
Bao, Gang; Cowsar, Lawrence; Masters, Wen
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
Cook, L. Pamela
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
Castillo, José E.
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
Grossman, Robert
1989
Handbook for matrix computations. Zbl 0681.65009
Coleman, Thomas F.; Van Loan, Charles F.
1988
Multigrid methods. Zbl 0659.65094
McCormick, Stephen F.
1987
The mathematics of combustion. Zbl 0624.76082
Buckmaster, John D.
1985
The mathematics of reservoir simulation. Zbl 0533.00031
Ewing, Richard E.
1983
all top 5

#### Cited by 4,484 Authors

 27 Yuan, Yirang 23 Banks, Harvey Thomas 18 Powers, Robert C. 18 Wohlmuth, Barbara I. 17 Li, Zhilin 15 Nagy, James Gerard 14 Kalita, Jiten C. 14 Karasözen, Bülent 14 McMorris, Frederick R. 13 Chacón, Luis 13 Kelley, Carl T. 13 Lin, Tao 13 Rivière, Beatrice M. 13 Serra-Capizzano, Stefano 12 Chen, Ke 12 Hughes, Thomas J. R. 11 Bardsley, Johnathan M. 11 Landi, Germana 11 Loli Piccolomini, Elena 11 Uzunca, Murat 11 Wei, Yimin 10 Brenner, Susanne Cecelia 10 Han, Yuji 10 Kevrekidis, Ioannis George 10 Pironneau, Olivier 10 Schillinger, Dominik 10 Van Huffel, Sabine 10 Wathen, Andrew John 9 Bai, Zhongzhi 9 Mulder, Henry Martyn 9 Srinivas Kumar, V. V. K. 9 Walther, Andrea 8 Antonietti, Paola Francesca 8 Ascher, Uri M. 8 Chung, Tsz Shun Eric 8 Curtain, Ruth Frances 8 Ferrer, Esteban 8 Hoppe, Ronald H. W. 8 Huang, Ting-Zhu 8 Li, Changfeng 8 Lv, Xiaoguang 8 Rank, Ernst 8 Thieme, Horst R. 7 Bao, Gang 7 Bazilevs, Yuri 7 Bücker, H. Martin 7 Chen, Yanping 7 Dehghan Takht Fooladi, Mehdi 7 Efendiev, Yalchin R. 7 Evans, John A. 7 Fasano, Giovanni 7 Feng, Xiaobing 7 Frank, Florian 7 Gibson, Nathan L. 7 Ginting, Victor 7 Haber, Eldad 7 Hansen, Per Christian 7 He, Yinnian 7 Herzog, Roland 7 Jia, Zhongxiao 7 Knoll, Dana A. 7 Langer, Ulrich 7 Martínez, José Mario 7 Nievergelt, Yves 7 Renaut, Rosemary Anne 7 Simoncini, Valeria 7 Yücel, Hamdullah 6 Adjerid, Slimane 6 Antil, Harbir 6 Axelsson, Axel Owe Holger 6 Baccouch, Mahboub 6 Barlow, Jesse L. 6 Benner, Peter 6 Bialecki, Bernard 6 Bischof, Christian H. 6 Chaudhary, Sudhakar 6 Chen, Jinhai 6 Chinesta, Francisco 6 de Sturler, Eric 6 Galligani, Emanuele 6 Geiser, Jürgen 6 Griewank, Andreas 6 Harari, Isaac 6 Huang, Yunqing 6 Ji, Haifeng 6 Klar, Axel 6 Kwak, Do Young 6 La Torre, Davide 6 Lapenta, Giovanni 6 Li, Rencang 6 Liu, Hailiang 6 Liu, Jiangguo 6 Maxin, Daniel 6 Miehe, Christian 6 Olufsen, Mette Sofie 6 Ortega, Oscar 6 Pan, Victor Yakovlevich 6 Ruess, Martin 6 Scovazzi, Guglielmo 6 Siettos, Constantinos I. ...and 4,384 more Authors
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#### Cited in 373 Journals

 191 Journal of Computational Physics 168 Journal of Computational and Applied Mathematics 117 Computer Methods in Applied Mechanics and Engineering 102 Journal of Scientific Computing 87 Applied Mathematics and Computation 69 Linear Algebra and its Applications 68 Computers & Mathematics with Applications 64 Applied Numerical Mathematics 64 Numerical Algorithms 64 SIAM Journal on Scientific Computing 51 International Journal for Numerical Methods in Engineering 50 Computational Optimization and Applications 41 Mathematics of Computation 41 BIT 40 Numerical Linear Algebra with Applications 39 Numerische Mathematik 38 Numerical Methods for Partial Differential Equations 33 Optimization Methods & Software 33 Inverse Problems in Science and Engineering 28 Automatica 28 Journal of Optimization Theory and Applications 27 Inverse Problems 26 International Journal for Numerical Methods in Fluids 25 International Journal of Computer Mathematics 24 Computer Physics Communications 21 SIAM Journal on Matrix Analysis and Applications 21 Computational Statistics and Data Analysis 20 Mathematics and Computers in Simulation 20 SIAM Journal on Numerical Analysis 20 Mathematical Problems in Engineering 19 Computing 19 Applied Mathematical Modelling 17 Computers and Fluids 17 Advances in Computational Mathematics 16 Computational Geosciences 15 Mathematical Programming. Series A. Series B 15 Inverse Problems and Imaging 14 Applied Mathematics Letters 13 Journal of Mathematical Analysis and Applications 13 Journal of Mathematical Biology 13 Computational Mechanics 13 Journal of Global Optimization 12 Calcolo 12 Applied Mathematics and Mechanics. (English Edition) 12 Mathematical and Computer Modelling 12 Computational and Applied Mathematics 12 Engineering Analysis with Boundary Elements 11 Mathematical Biosciences 11 Numerical Functional Analysis and Optimization 11 SIAM Journal on Optimization 11 Communications in Numerical Methods in Engineering 10 Mathematical Methods in the Applied Sciences 10 Bulletin of Mathematical Biology 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Journal of Theoretical Biology 9 Computer Aided Geometric Design 9 Journal of Mathematical Imaging and Vision 9 Computing and Visualization in Science 9 Nonlinear Analysis. Real World Applications 9 SIAM/ASA Journal on Uncertainty Quantification 8 Discrete Applied Mathematics 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Discrete and Continuous Dynamical Systems. Series B 8 SIAM Journal on Imaging Sciences 7 Journal of the Franklin Institute 7 Systems & Control Letters 7 Journal of Integral Equations and Applications 7 Computational Mathematics and Mathematical Physics 7 European Journal of Operational Research 7 Journal of Inverse and Ill-Posed Problems 7 ETNA. Electronic Transactions on Numerical Analysis 7 Communications in Nonlinear Science and Numerical Simulation 6 Applicable Analysis 6 International Journal of Engineering Science 6 Theoretical Computer Science 6 Theoretical Population Biology 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Journal of Economic Dynamics & Control 6 Applied and Computational Harmonic Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Archives of Computational Methods in Engineering 6 Journal of Applied Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Numerical Mathematics 6 Journal of Applied Mathematics and Computing 6 Multiscale Modeling & Simulation 6 International Journal of Computational Methods 6 Journal of Biological Dynamics 5 International Journal of Solids and Structures 5 Journal of Fluid Mechanics 5 Chaos, Solitons and Fractals 5 Applied Mathematics and Optimization 5 Meccanica 5 Quarterly of Applied Mathematics 5 Optimal Control Applications & Methods 5 Annals of Operations Research 5 International Journal of Numerical Methods for Heat & Fluid Flow 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 International Journal of Applied Mathematics and Computer Science 5 Optimization and Engineering ...and 273 more Journals
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#### Cited in 55 Fields

 1,875 Numerical analysis (65-XX) 603 Partial differential equations (35-XX) 450 Fluid mechanics (76-XX) 294 Operations research, mathematical programming (90-XX) 246 Mechanics of deformable solids (74-XX) 190 Calculus of variations and optimal control; optimization (49-XX) 183 Biology and other natural sciences (92-XX) 139 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 138 Statistics (62-XX) 130 Computer science (68-XX) 128 Linear and multilinear algebra; matrix theory (15-XX) 125 Systems theory; control (93-XX) 113 Information and communication theory, circuits (94-XX) 108 Optics, electromagnetic theory (78-XX) 76 Probability theory and stochastic processes (60-XX) 76 Geophysics (86-XX) 64 Ordinary differential equations (34-XX) 56 Statistical mechanics, structure of matter (82-XX) 55 Classical thermodynamics, heat transfer (80-XX) 51 Integral equations (45-XX) 45 Operator theory (47-XX) 37 Dynamical systems and ergodic theory (37-XX) 31 Approximations and expansions (41-XX) 27 Combinatorics (05-XX) 19 Mechanics of particles and systems (70-XX) 14 Integral transforms, operational calculus (44-XX) 13 Quantum theory (81-XX) 11 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 Astronomy and astrophysics (85-XX) 5 Special functions (33-XX) 5 Difference and functional equations (39-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 4 General and overarching topics; collections (00-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) 3 Field theory and polynomials (12-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mathematics education (97-XX) 2 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-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 Relativity and gravitational theory (83-XX)