# zbMATH — the first resource for mathematics

## Frontiers in Mathematics

 Short Title: Front. Math. Publisher: Birkhäuser, Cham ISSN: 1660-8046; 1660-8054/e Online: https://link.springer.com/bookseries/5388 Comments: Book series
 Documents Indexed: 55 Publications (since 2004)

all top 5

all top 5

#### Fields

 13 Partial differential equations (35-XX) 11 Operator theory (47-XX) 8 Functions of a complex variable (30-XX) 8 Numerical analysis (65-XX) 7 Associative rings and algebras (16-XX) 7 Functional analysis (46-XX) 7 Geometry (51-XX) 6 Differential geometry (53-XX) 5 Group theory and generalizations (20-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 1,845 times in 1,825 Documents Cited by Year
Transport equations in biology. Zbl 1185.92006
Perthame, Benoît
2007
Extremum problems for eigenvalues of elliptic operators. Zbl 1109.35081
Henrot, Antoine
2006
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091
Bouchut, François
2004
Frames and locales. Topology without points. Zbl 1231.06018
Picado, Jorge; Pultr, Aleš
2012
Lifting modules. Supplements and projectivity in module theory. Zbl 1102.16001
Clark, John; Lomp, Christian; Vanaja, Narayanaswami; Wisbauer, Robert
2006
Functional identities. Zbl 1132.16001
Brešar, Matej; Chebotar, Mikhail A.; Martindale, Wallace S. III
2007
Applied pseudoanalytic function theory. Zbl 1182.30002
2009
Functional analysis in asymmetric normed spaces. Zbl 1266.46001
Cobzaş, Ştefan
2013
Poncelet porisms and beyond. Integrable billiards, hyperelliptic Jacobians and pencils of quadrics. Zbl 1225.37001
2011
Near polygons. Zbl 1102.51007
De Bruyn, Bart
2006
Infinite matrices and their finite sections. An introduction to the limit operator method. Zbl 1107.47001
Lindner, Marko
2006
Geometric $$Q_p$$ functions. Zbl 1104.30036
Xiao, Jie
2006
Schwarz-Pick type inequalities. Zbl 1168.30001
Avkhadiev, Farit G.; Wirths, Karl-Joachim
2009
Artinian modules over group rings. Zbl 1110.16001
Kurdachenko, Leonid A.; Otal, Javier; Subbotin, Igor Ya.
2007
Differential geometry of light-like submanifolds. Zbl 1187.53001
Duggal, Krishan L.; Sahin, Bayram
2010
The mathematics of Minkowski space-time. With an introduction to commutative hypercomplex numbers. Zbl 1151.53001
Catoni, Francesco; Boccaletti, Dino; Cannata, Roberto; Catoni, Vincenzo; Nichelatti, Enrico; Zampetti, Paolo
2008
Bicomplex holomorphic functions. The algebra, geometry and analysis of bicomplex numbers. Zbl 1345.30002
Luna-Elizarrarás, M. Elena; Shapiro, Michael; Struppa, Daniele C.; Vajiac, Adrian
2015
Generalized analytic automorphic forms in hypercomplex spaces. Zbl 1058.30046
Kraußhar, Rolf Sören
2004
Global well-posedness of nonlinear parabolic-hyperbolic coupled systems. Zbl 1273.35008
Qin, Yuming; Huang, Lan
2012
Symmetry in finite generalized quadrangles. Zbl 1057.51002
Thas, Koen
2004
Transmission problems for elliptic second-order equations in non-smooth domains. Zbl 1202.35001
Borsuk, Mikhail
2010
Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields. Zbl 1277.58001
Chiang, Yuan-Jen
2013
Rings, modules, and the total. Zbl 1059.16001
2004
Approximation of additive convolution-like operators. Real C*-algebra approach. Zbl 1160.65002
Didenko, Victor D.; Silbermann, Bernd
2008
Invariant probabilities of Markov-Feller operators and their supports. Zbl 1072.37007
2005
Flag-transitive Steiner designs. Zbl 1179.05002
Huber, Michael
2009
The geometry of filtering. Zbl 1219.58017
Elworthy, K. David; Le Jan, Yves; Li, Xue-Mei
2010
Module theory, extending modules and generalizations. With the cooperation of Patrick F. Smith. Zbl 1368.16002
Tercan, Adnan; Yücel, Canan C.
2016
Stability of vector differential delay equations. Zbl 1272.34003
Gil’, Michael I.
2013
The Hardy space of a slit domain. Zbl 1188.30003
Aleman, Alexandru; Feldman, Nathan S.; Ross, William T.
2009
An introduction to incidence geometry. Zbl 1376.51001
de Bruyn, Bart
2016
Homotopy theory of $$C^*$$-algebras. Zbl 1213.46072
Østvær, Paul Arne
2010
Regularity and substructures of Hom. Zbl 1169.16001
2009
Newton’s method: an updated approach of Kantorovich’s theory. Zbl 1376.65088
Ezquerro Fernánez, José Antonio; Hernández Verón, Miguel Angel
2017
Nonlocal perimeter, curvature and minimal surfaces for measurable sets. Zbl 1446.49001
Mazón, José M.; Rossi, Julio Daniel; Toledo, J. Julián
2019
Global existence and uniqueness of nonlinear evolutionary fluid equations. Zbl 1317.35207
Qin, Yuming; Liu, Xin; Wang, Taige
2015
Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001
Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii
2011
Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034
Gal, Sorin G.; Sabadini, Irene
2019
Hölder and locally Hölder continuous functions, and open sets of class $$C^k, C^{k,\lambda}$$. Zbl 1366.26003
Fiorenza, Renato
2016
Positive solutions to indefinite problems. A topological approach. Zbl 1426.34002
Feltrin, Guglielmo
2018
Direct and inverse Sturm-Liouville problems. A method of solution. Zbl 07214198
2020
Variational source conditions, quadratic inverse problems, sparsity promoting regularization. New results in modern theory of inverse problems and an application in laser optics. Zbl 06928226
Flemming, Jens
2018
$$q$$-clan geometries in characteristic 2. Zbl 1127.51003
Cardinali, Ilaria; Payne, Stanley E.
2007
Numerical methods for Eulerian and Lagrangian conservation laws. Zbl 1379.65069
Després, Bruno
2017
A primer for a secret shortcut to PDEs of mathematical physics. Zbl 1454.35002
Picard, Rainer; McGhee, Des; Trostorff, Sascha; Waurick, Marcus
2020
Special functions and generalized Sturm-Liouville problems. Zbl 1446.33001
2020
Algebraic approximation. A guide to past and current solutions. Zbl 1248.41012
Bustamante, Jorge
2012
Zero product determined algebras. Zbl 07384446
Brešar, Matej
2021
Zero product determined algebras. Zbl 07384446
Brešar, Matej
2021
Direct and inverse Sturm-Liouville problems. A method of solution. Zbl 07214198
2020
A primer for a secret shortcut to PDEs of mathematical physics. Zbl 1454.35002
Picard, Rainer; McGhee, Des; Trostorff, Sascha; Waurick, Marcus
2020
Special functions and generalized Sturm-Liouville problems. Zbl 1446.33001
2020
Nonlocal perimeter, curvature and minimal surfaces for measurable sets. Zbl 1446.49001
Mazón, José M.; Rossi, Julio Daniel; Toledo, J. Julián
2019
Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034
Gal, Sorin G.; Sabadini, Irene
2019
Positive solutions to indefinite problems. A topological approach. Zbl 1426.34002
Feltrin, Guglielmo
2018
Variational source conditions, quadratic inverse problems, sparsity promoting regularization. New results in modern theory of inverse problems and an application in laser optics. Zbl 06928226
Flemming, Jens
2018
Newton’s method: an updated approach of Kantorovich’s theory. Zbl 1376.65088
Ezquerro Fernánez, José Antonio; Hernández Verón, Miguel Angel
2017
Numerical methods for Eulerian and Lagrangian conservation laws. Zbl 1379.65069
Després, Bruno
2017
Module theory, extending modules and generalizations. With the cooperation of Patrick F. Smith. Zbl 1368.16002
Tercan, Adnan; Yücel, Canan C.
2016
An introduction to incidence geometry. Zbl 1376.51001
de Bruyn, Bart
2016
Hölder and locally Hölder continuous functions, and open sets of class $$C^k, C^{k,\lambda}$$. Zbl 1366.26003
Fiorenza, Renato
2016
Bicomplex holomorphic functions. The algebra, geometry and analysis of bicomplex numbers. Zbl 1345.30002
Luna-Elizarrarás, M. Elena; Shapiro, Michael; Struppa, Daniele C.; Vajiac, Adrian
2015
Global existence and uniqueness of nonlinear evolutionary fluid equations. Zbl 1317.35207
Qin, Yuming; Liu, Xin; Wang, Taige
2015
Functional analysis in asymmetric normed spaces. Zbl 1266.46001
Cobzaş, Ştefan
2013
Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields. Zbl 1277.58001
Chiang, Yuan-Jen
2013
Stability of vector differential delay equations. Zbl 1272.34003
Gil&rsquo;, Michael I.
2013
Frames and locales. Topology without points. Zbl 1231.06018
Picado, Jorge; Pultr, Aleš
2012
Global well-posedness of nonlinear parabolic-hyperbolic coupled systems. Zbl 1273.35008
Qin, Yuming; Huang, Lan
2012
Algebraic approximation. A guide to past and current solutions. Zbl 1248.41012
Bustamante, Jorge
2012
Poncelet porisms and beyond. Integrable billiards, hyperelliptic Jacobians and pencils of quadrics. Zbl 1225.37001
2011
Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001
Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii
2011
Differential geometry of light-like submanifolds. Zbl 1187.53001
Duggal, Krishan L.; Sahin, Bayram
2010
Transmission problems for elliptic second-order equations in non-smooth domains. Zbl 1202.35001
Borsuk, Mikhail
2010
The geometry of filtering. Zbl 1219.58017
Elworthy, K. David; Le Jan, Yves; Li, Xue-Mei
2010
Homotopy theory of $$C^*$$-algebras. Zbl 1213.46072
Østvær, Paul Arne
2010
Applied pseudoanalytic function theory. Zbl 1182.30002
2009
Schwarz-Pick type inequalities. Zbl 1168.30001
Avkhadiev, Farit G.; Wirths, Karl-Joachim
2009
Flag-transitive Steiner designs. Zbl 1179.05002
Huber, Michael
2009
The Hardy space of a slit domain. Zbl 1188.30003
Aleman, Alexandru; Feldman, Nathan S.; Ross, William T.
2009
Regularity and substructures of Hom. Zbl 1169.16001
2009
The mathematics of Minkowski space-time. With an introduction to commutative hypercomplex numbers. Zbl 1151.53001
Catoni, Francesco; Boccaletti, Dino; Cannata, Roberto; Catoni, Vincenzo; Nichelatti, Enrico; Zampetti, Paolo
2008
Approximation of additive convolution-like operators. Real C*-algebra approach. Zbl 1160.65002
Didenko, Victor D.; Silbermann, Bernd
2008
Transport equations in biology. Zbl 1185.92006
Perthame, Benoît
2007
Functional identities. Zbl 1132.16001
Brešar, Matej; Chebotar, Mikhail A.; Martindale, Wallace S. III
2007
Artinian modules over group rings. Zbl 1110.16001
Kurdachenko, Leonid A.; Otal, Javier; Subbotin, Igor Ya.
2007
$$q$$-clan geometries in characteristic 2. Zbl 1127.51003
Cardinali, Ilaria; Payne, Stanley E.
2007
Extremum problems for eigenvalues of elliptic operators. Zbl 1109.35081
Henrot, Antoine
2006
Lifting modules. Supplements and projectivity in module theory. Zbl 1102.16001
Clark, John; Lomp, Christian; Vanaja, Narayanaswami; Wisbauer, Robert
2006
Near polygons. Zbl 1102.51007
De Bruyn, Bart
2006
Infinite matrices and their finite sections. An introduction to the limit operator method. Zbl 1107.47001
Lindner, Marko
2006
Geometric $$Q_p$$ functions. Zbl 1104.30036
Xiao, Jie
2006
Invariant probabilities of Markov-Feller operators and their supports. Zbl 1072.37007
2005
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091
Bouchut, François
2004
Generalized analytic automorphic forms in hypercomplex spaces. Zbl 1058.30046
Kraußhar, Rolf Sören
2004
Symmetry in finite generalized quadrangles. Zbl 1057.51002
Thas, Koen
2004
Rings, modules, and the total. Zbl 1059.16001
2004
all top 5

#### Cited by 2,153 Authors

 71 Journal of Mathematical Analysis and Applications 58 Topology and its Applications 42 Journal of Computational Physics 36 Applied Categorical Structures 34 Advances in Applied Clifford Algebras 33 Linear Algebra and its Applications 32 Journal of Differential Equations 31 Journal of Scientific Computing 24 Algebra Universalis 23 Journal of Algebra 22 Journal of Functional Analysis 21 Mathematical Methods in the Applied Sciences 20 Communications in Algebra 20 Journal of Mathematical Biology 20 Applied Mathematics and Computation 20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 19 Quaestiones Mathematicae 19 Journal of Mathematical Sciences (New York) 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Computers and Fluids 17 Advances in Mathematics 16 Ukrainian Mathematical Journal 16 Numerische Mathematik 15 Proceedings of the American Mathematical Society 15 Journal of Algebra and its Applications 14 Acta Applicandae Mathematicae 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Calculus of Variations and Partial Differential Equations 14 Discrete and Continuous Dynamical Systems. Series B 14 Complex Analysis and Operator Theory 12 Discrete Mathematics 12 Journal of Mathematical Physics 12 Mathematics of Computation 12 Journal of Combinatorial Theory. Series A 12 Journal of Pure and Applied Algebra 12 The Journal of Geometric Analysis 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Complex Variables and Elliptic Equations 12 Kinetic and Related Models 11 Designs, Codes and Cryptography 10 Computers & Mathematics with Applications 10 Journal of Geometry 10 SIAM Journal on Numerical Analysis 10 Transactions of the American Mathematical Society 10 SIAM Journal on Mathematical Analysis 10 SIAM Journal on Scientific Computing 9 Journal of Computational and Applied Mathematics 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Discrete and Continuous Dynamical Systems 8 Applied Mathematics and Optimization 8 Integral Equations and Operator Theory 8 Applied Mathematics Letters 8 SIAM Journal on Applied Mathematics 8 Mathematical Biosciences and Engineering 8 Networks and Heterogeneous Media 8 Journal of Spectral Theory 8 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 7 Archive for Rational Mechanics and Analysis 7 Mathematical Notes 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Bulletin of Mathematical Biology 7 Journal of Optimization Theory and Applications 7 Bulletin of the Iranian Mathematical Society 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Russian Mathematics 7 Journal of Algebraic Combinatorics 7 Turkish Journal of Mathematics 7 Abstract and Applied Analysis 7 Communications in Contemporary Mathematics 7 Lobachevskii Journal of Mathematics 7 Mediterranean Journal of Mathematics 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Inverse Problems 6 Glasgow Mathematical Journal 6 Mathematische Zeitschrift 6 Results in Mathematics 6 Algebra Colloquium 6 NoDEA. Nonlinear Differential Equations and Applications 6 Nonlinear Analysis. Real World Applications 6 Asian-European Journal of Mathematics 5 Communications in Mathematical Physics 5 Journal of Fluid Mechanics 5 Journal of Geometry and Physics 5 Applied Numerical Mathematics 5 Order 5 Aequationes Mathematicae 5 Sbornik: Mathematics 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Proceedings of the Steklov Institute of Mathematics 5 Arnold Mathematical Journal 5 Categories and General Algebraic Structures with Applications 5 Journal of Algebraic Systems 4 Applicable Analysis 4 Rocky Mountain Journal of Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Approximation Theory 4 Siberian Mathematical Journal 4 Bulletin of the Korean Mathematical Society 4 Graphs and Combinatorics ...and 308 more Journals
 633 Partial differential equations (35-XX) 256 Numerical analysis (65-XX) 239 Biology and other natural sciences (92-XX) 220 Fluid mechanics (76-XX) 202 Associative rings and algebras (16-XX) 179 Operator theory (47-XX) 174 Order, lattices, ordered algebraic structures (06-XX) 169 General topology (54-XX) 135 Calculus of variations and optimal control; optimization (49-XX) 127 Functions of a complex variable (30-XX) 86 Geometry (51-XX) 84 Differential geometry (53-XX) 81 Functional analysis (46-XX) 75 Ordinary differential equations (34-XX) 65 Dynamical systems and ergodic theory (37-XX) 62 Group theory and generalizations (20-XX) 59 Probability theory and stochastic processes (60-XX) 58 Category theory; homological algebra (18-XX) 58 Global analysis, analysis on manifolds (58-XX) 52 Combinatorics (05-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 39 Commutative algebra (13-XX) 37 Integral equations (45-XX) 30 Mechanics of deformable solids (74-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 27 Convex and discrete geometry (52-XX) 25 Real functions (26-XX) 24 Statistical mechanics, structure of matter (82-XX) 24 Geophysics (86-XX) 23 Potential theory (31-XX) 22 Nonassociative rings and algebras (17-XX) 20 Quantum theory (81-XX) 20 Operations research, mathematical programming (90-XX) 19 Systems theory; control (93-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Mathematical logic and foundations (03-XX) 16 Computer science (68-XX) 15 Mechanics of particles and systems (70-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Number theory (11-XX) 13 Algebraic geometry (14-XX) 12 Topological groups, Lie groups (22-XX) 12 Measure and integration (28-XX) 12 Optics, electromagnetic theory (78-XX) 10 Approximations and expansions (41-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Integral transforms, operational calculus (44-XX) 8 Statistics (62-XX) 7 History and biography (01-XX) 7 Special functions (33-XX) 7 Astronomy and astrophysics (85-XX) 7 Information and communication theory, circuits (94-XX) 6 Relativity and gravitational theory (83-XX) 5 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 4 Difference and functional equations (39-XX) 4 Algebraic topology (55-XX) 2 General algebraic systems (08-XX) 2 Sequences, series, summability (40-XX) 1 $$K$$-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX)