# zbMATH — the first resource for mathematics

## Japan Journal of Industrial and Applied Mathematics

### Official Journal of JSIAM (The Japan Society for Industrial and Applied Mathematics)

 Short Title: Japan J. Ind. Appl. Math. Publisher: Springer Japan, Tokyo ISSN: 0916-7005; 1868-937X/e Online: http://link.springer.com/journal/volumesAndIssues/13160 Predecessor: Japan Journal of Applied Mathematics Comments: Indexed cover-to-cover
 Documents Indexed: 897 Publications (since 1991) References Indexed: 883 Publications with 17,825 References.
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#### Latest Issues

 38, No. 2 (2021) 38, No. 1 (2021) 37, No. 3 (2020) 37, No. 2 (2020) 37, No. 1 (2020) 36, No. 3 (2019) 36, No. 2 (2019) 36, No. 1 (2019) 35, No. 3 (2018) 35, No. 2 (2018) 35, No. 1 (2018) 34, No. 3 (2017) 34, No. 2 (2017) 34, No. 1 (2017) 33, No. 3 (2016) 33, No. 2 (2016) 33, No. 1 (2016) 32, No. 3 (2015) 32, No. 2 (2015) 32, No. 1 (2015) 31, No. 3 (2014) 31, No. 2 (2014) 31, No. 1 (2014) 30, No. 3 (2013) 30, No. 2 (2013) 30, No. 1 (2013) 29, No. 3 (2012) 29, No. 2 (2012) 29, No. 1 (2012) 28, No. 3 (2011) 28, No. 2 (2011) 28, No. 1 (2011) 27, No. 3 (2010) 27, No. 2 (2010) 27, No. 1 (2010) 26, No. 2-3 (2009) 26, No. 1 (2009) 25, No. 3 (2008) 25, No. 2 (2008) 25, No. 1 (2008) 24, No. 3 (2007) 24, No. 2 (2007) 24, No. 1 (2007) 23, No. 3 (2006) 23, No. 2 (2006) 23, No. 1 (2006) 22, No. 3 (2005) 22, No. 2 (2005) 22, No. 1 (2005) 21, No. 3 (2004) 21, No. 2 (2004) 21, No. 1 (2004) 20, No. 3 (2003) 20, No. 2 (2003) 20, No. 1 (2003) 19, No. 3 (2002) 19, No. 2 (2002) 19, No. 1 (2002) 18, No. 3 (2001) 18, No. 2 (2001) 18, No. 1 (2001) 17, No. 3 (2000) 17, No. 2 (2000) 17, No. 1 (2000) 16, No. 3 (1999) 16, No. 2 (1999) 16, No. 1 (1999) 15, No. 3 (1998) 15, No. 2 (1998) 15, No. 1 (1998) 14, No. 3 (1997) 14, No. 2 (1997) 14, No. 1 (1997) 13, No. 3 (1996) 13, No. 2 (1996) 13, No. 1 (1996) 12, No. 3 (1995) 12, No. 2 (1995) 12, No. 1 (1995) 11, No. 3 (1994) 11, No. 2 (1994) 11, No. 1 (1994) 10, No. 3 (1993) 10, No. 2 (1993) 10, No. 1 (1993) 9, No. 3 (1992) 9, No. 2 (1992) 9, No. 1 (1992) 8, No. 3 (1991) 8, No. 2 (1991) 8, No. 1 (1991)
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#### Authors

 15 Murota, Kazuo 14 Okamoto, Hisashi 12 Mimura, Masayasu 11 Nakao, Mitsuhiro T. 10 Oishi, Shin’ichi 10 Tsuchiya, Takuya 9 Sasaki, Tateaki 9 Watanabe, Yoshitaka 9 Yanagida, Eiji 8 Kobayashi, Kenta 8 Nakamura, Yoshimasa 8 Sugihara, Kokichi 7 Aishima, Kensuke 7 Kanno, Yoshihiro 7 Makino, Tetu 7 Mitsui, Taketomo 7 Ozawa, Kazufumi 7 Saito, Norikazu 6 Ei, Shin-Ichiro 6 Hiraoka, Yasuaki 6 Imakura, Akira 6 Liu, Xuefeng 6 Matsuo, Takayasu 6 Miyajima, Shinya 6 Morita, Yoshihisa 6 Ogata, Hidenori 6 Ogita, Takeshi 6 Yamamoto, Tetsuro 5 Furihata, Daisuke 5 Giga, Yoshikazu 5 Hagiwara, Ichiro 5 Ibaraki, Toshihide 5 Kikuchi, Fumio 5 Mori, Masatake 5 Ninomiya, Hirokazu 5 Nishiura, Yasumasa 5 Ohi, Fumio 5 Papageorgiou, Nikolaos S. 5 Sakurai, Tetsuya 5 Sugihara, Masaaki 5 Tabata, Masahisa 5 Takeuchi, Yasuhiro 5 Yamamoto, Nobito 5 Yamamoto, Yusaku 5 Zhang, Shao-Liang 4 Amano, Kaname 4 Azegami, Hideyuki 4 Fujishige, Satoru 4 Glowinski, Roland 4 Hoshi, Takeo 4 Ikeda, Hideo 4 Imamura, Yuri 4 Ishiwata, Tetsuya 4 Kan-on, Yukio 4 Kanayama, Hiroshi 4 Koyama, Daisuke 4 Kubo, Mikio 4 Kumagai, Atsuya 4 Mischaikow, Konstantin 4 Miyatake, Yuto 4 Nagamochi, Hiroshi 4 Nagayama, Masaharu 4 Naitoh, Ken 4 Ogawa, Shigeyoshi 4 Okada, Mari 4 Satoh, Daisuke 4 Ševčovič, Daniel 4 Shioura, Akiyoshi 4 Tamura, Akihisa 4 Ushijima, Teruo 4 Yanagi, Shigenori 3 Asakura, Fumioki 3 Asghar, Saleem 3 Chiu, Mei Choi 3 Cho, Chien-Hong 3 Guo, Jong-Shenq 3 Hata, Hiroaki 3 Hayat, Tasawar 3 Iida, Masato 3 Imachi, Hiroto 3 Inaba, Hisashi 3 Ishimura, Naoyuki 3 Isojima, Shin 3 Kawanago, Tadashi 3 Kawasaki, Kohkichi 3 Kim, Deok-Soo 3 Kim, Sun-Chul 3 Kimura, Masato 3 Kinoshita, Takehiko 3 Kitamoto, Takuya 3 Kuwamura, Masataka 3 Lee, Hoseok 3 Lin, Song-Sun 3 Miyaji, Tomoyuki 3 Mizohata, Kiyoshi 3 Mizutani, Akira 3 Muroya, Yoshiaki 3 Ogawa, Toshiyuki 3 Ohnishi, Isamu 3 Okada, Masami ...and 1,155 more Authors
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#### Fields

 347 Numerical analysis (65-XX) 263 Partial differential equations (35-XX) 110 Fluid mechanics (76-XX) 88 Biology and other natural sciences (92-XX) 87 Operations research, mathematical programming (90-XX) 85 Ordinary differential equations (34-XX) 76 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Computer science (68-XX) 57 Dynamical systems and ergodic theory (37-XX) 57 Probability theory and stochastic processes (60-XX) 41 Mechanics of deformable solids (74-XX) 37 Statistics (62-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 29 Operator theory (47-XX) 29 Information and communication theory, circuits (94-XX) 28 Systems theory; control (93-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 20 Combinatorics (05-XX) 19 Convex and discrete geometry (52-XX) 16 Field theory and polynomials (12-XX) 16 Functions of a complex variable (30-XX) 16 Difference and functional equations (39-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Real functions (26-XX) 13 Number theory (11-XX) 13 Integral equations (45-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 General and overarching topics; collections (00-XX) 11 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Algebraic geometry (14-XX) 10 Mechanics of particles and systems (70-XX) 9 Differential geometry (53-XX) 8 Commutative algebra (13-XX) 7 Special functions (33-XX) 7 Algebraic topology (55-XX) 6 Associative rings and algebras (16-XX) 6 Approximations and expansions (41-XX) 6 Functional analysis (46-XX) 6 Geophysics (86-XX) 5 Mathematical logic and foundations (03-XX) 5 Geometry (51-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Integral transforms, operational calculus (44-XX) 3 Measure and integration (28-XX) 3 Astronomy and astrophysics (85-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

570 Publications have been cited 3,467 times in 3,004 Documents Cited by Year
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Liu, Tai-Ping
1996
Global existence and large time behaviour of solutions for the Vlasov-Stokes equations. Zbl 1306.76052
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1998
Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076
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1995
Competition in the chemostat when one competitor produces a toxin. Zbl 0982.92035
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1998
Nonnegative splitting theory. Zbl 0805.65033
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1994
Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics. Zbl 1185.35059
Lou, Yuan; Yanagida, Eiji
2006
On some doubly nonlinear evolution equations in Banach spaces. Zbl 0757.34051
Colli, Pierluigi
1992
Free boundary problem for the equation of spherically symmetric motion of viscous gas. Zbl 0783.76082
1993
A competition-diffusion system approximation to the classical two-phase Stefan problem. Zbl 0980.35178
Hilhorst, Danielle; Iida, Masato; Mimura, Masayasu; Ninomiya, Hirokazu
2001
On eigenvalue problems for Laplacians on p.c.f. self-similar sets. Zbl 0861.58047
1996
On eigenvalue problems for the random walks on the Sierpinski pre- gaskets. Zbl 0715.60088
1991
Isolating neighborhoods and chaos. Zbl 0840.58033
Mischaikow, Konstantin; Mrozek, Marian
1995
Point condensation generated by a reaction-diffusion system in axially symmetric domains. Zbl 0843.35006
Ni, Wei-Ming; Takagi, Izumi
1995
Charge simulation method using exterior mapping functions. Zbl 0816.35017
1994
Analysis of the electromagnetic scattering from a cavity. Zbl 1033.78005
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2002
Dynamical spectrum for time dependent linear systems in Banach spaces. Zbl 0818.34029
Chow, Shui-Nee; Leiva, Hugo
1994
Stability of monotone travelling waves for competition-diffusion equations. Zbl 0860.35053
Kan-on, Yukio; Fang, Qing
1996
On Rauzy fractal. Zbl 0734.28010
Ito, Shunji; Kimura, Minako
1991
The global weak solutions of compressible Euler equation with spherical symmetry. Zbl 0761.76085
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
1992
Stability of least energy patterns of the shadow system for an activator-inhibitor model. Zbl 1200.35172
Ni, Wei-Ming; Takagi, Izumi; Yanagida, Eiji
2001
A note on the stability of the rarefaction wave of the Burgers equation. Zbl 0725.35013
Hattori, Youichi; Nishihara, Kenji
1991
A functional fitting Runge-Kutta method with variable coefficients. Zbl 0985.65085
Ozawa, Kazufumi
2001
Existence of standing waves for competition-diffusion equations. Zbl 0859.35054
Kan-on, Yukio
1996
An integrodifference model for biological invasions in a periodically fragmented environment. Zbl 1116.92066
2007
Initial boundary value problem for the spherically symmetric motion of isentropic gas. Zbl 0797.76077
Makino, Tetu; Takeno, Shigeharu
1994
Impact of intracellular delay, immune activation delay and nonlinear incidence on viral dynamics. Zbl 1226.92049
Huang, Gang; Yokoi, Hiroki; Takeuchi, Yasuhiro; Kajiwara, Tsuyoshi; Sasaki, Toru
2011
Bifurcation diagrams in Kolmogorov’s problem of viscous incompressible fluid on 2-D flat tori. Zbl 0783.76040
Okamoto, H.; Shōji, M.
1993
Generalized coarea formula and fractal sets. Zbl 0736.49030
Visintin, Augusto
1991
An inverse problem of the weighted shortest path problem. Zbl 0827.05031
Xu, Shaoji; Zhang, Jianzhong
1995
A stable, convergent, conservative and linear finite difference scheme for the Cahn-Hilliard equation. Zbl 1035.65100
Furihata, Daisuke; Matsuo, Takayasu
2003
Block-centered finite difference methods for parabolic equation with time-dependent coefficient. Zbl 1301.65095
Rui, Hongxing; Pan, Hao
2013
On some methods for the simultaneous determination of polynomial zeros. Zbl 0859.65047
Kanno, Sachio; Kjurkchiev, Nikolai V.; Yamamoto, Tetsuro
1996
Very singular diffusion equations: second and fourth order problems. Zbl 1213.35274
Giga, Mi-Ho; Giga, Yoshikazu
2010
Structure of positive radial solutions of Matukuma’s equation. Zbl 0735.35064
Yanagida, Eiji
1991
Derivation and implementation of two-step Runge-Kutta pairs. Zbl 1006.65075
Jackiewicz, Z.; Verner, J. H.
2002
Numerical verifications of solutions for nonlinear elliptic equations. Zbl 0784.65082
Watanabe, Yoshitaka; Nakao, Mitsuhiro T.
1993
Structure stability of congestion in traffic dynamics. Zbl 0811.90036
Bando, M.; Hasebe, K.; Nakayama, A.; Shibata, A.; Sugiyama, Y.
1994
Local existence of solutions for Euler-Poisson equations. (Existence locale de solutions pour les équations d’Euler-Poisson.) Zbl 0811.35095
Bezard, Max
1993
Operator theoretic treatment of linear Abel integral equations of first kind. Zbl 1306.47057
Gorenflo, Rudolf; Yamamoto, Masahiro
1999
A topological measurement of protein compressibility. Zbl 1320.55004
Gameiro, Marcio; Hiraoka, Yasuaki; Izumi, Shunsuke; Kramar, Miroslav; Mischaikow, Konstantin; Nanda, Vidit
2015
A functionally fitted three-stage explicit singly diagonally implicit Runge-Kutta method. Zbl 1086.65072
Ozawa, Kazufumi
2005
Spatially accurate dissipative or conservative finite difference schemes derived by the discrete variational method. Zbl 1014.65083
Matsuo, Takayasu; Sugihara, Masaaki; Furihata, Daisuke; Mori, Masatake
2002
Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species. Zbl 0983.35065
Petrovskii, Sergei; Kawasaki, Kohkichi; Takasu, Fugo; Shigesada, Nanako
2001
Disk packing for the estimation of the size of a wire bundle. Zbl 1126.52300
Sugihara, Kokichi; Sawai, Masayoshi; Sano, Hiroaki; Kim, Deok-Soo; Kim, Donguk
2004
Free boundary problem for the equation of spherically symmetric motion of viscous gas. III. Zbl 1306.76038
Matušu-Nečasová, Šárka; Okada, Mari; Makino, Tetu
1997
The two phase drum with the deepest bass note. Zbl 0755.35029
Cox, Steven J.
1991
A numerical algorithm for block-diagonal decomposition of matrix $$*$$-algebras with application to semidefinite programming. Zbl 1204.65068
Murota, Kazuo; Kanno, Yoshihiro; Kojima, Masakazu; Kojima, Sadayoshi
2010
Kermack and McKendrick revisited: The variable subsceptibility model for infectious deseases. Zbl 0985.35007
Inaba, Hisashi
2001
Exact solutions of reaction-diffusion systems and nonlinear wave equations. Zbl 0987.35030
Rodrigo, M.; Mimura, M.
2001
Example of zero viscosity limit for two-dimensional nonstationary Navier- Stokes flows with boundary. Zbl 0797.76011
Matsui, Shin’ya
1994
A Lagrange multiplier/fictitious domain method for the Dirichlet problem – generalization to some flow problems. Zbl 0835.76047
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques
1995
Computer-assisted proofs for semilinear elliptic boundary value problems. Zbl 1186.35073
Plum, Michael
2009
On the finite difference approximation for a parabolic blow-up problem. Zbl 1133.65061
Cho, C.-H.; Hamada, S.; Okamoto, H.
2007
Viscosity approach to modelling non-isothermal diffusive phase separation. Zbl 0865.35062
1996
A numerical method for polynomial eigenvalue problems using contour integral. Zbl 1204.65056
Asakura, Junko; Sakurai, Tetsuya; Tadano, Hiroto; Ikegami, Tsutomu; Kimura, Kinji
2010
Exact traveling wave solutions for diffusive Lotka-Volterra systems of two competing species. Zbl 1255.35074
Hung, Li-chang
2012
Approximate factorization of multivariate polynomials and absolute irreducibility testing. Zbl 0757.12006
Sasaki, Tateaki; Suzuki, Masayuki; Kolář, Miroslav; Sasaki, Mutsuko
1991
On Euler-like methods for the simultaneous approximation of polynomial zeros. Zbl 0908.65029
Petković, Miodrag S.; Tričković, Slobodan; Herceg, Djordje
1998
Comparison of conventional and “invariant” schemes of fundamental solutions method for annular domains. Zbl 0831.65118
Murota, Kazuo
1995
Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation. Zbl 1141.76043
Glowinski, R.; Dean, E. J.; Guidoboni, G.; Juárez, L. H.; Pan, T.-W.
2008
A four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems. Zbl 1306.65229
Ozawa, Kazufumi
1999
A modified GHSS method for non-Hermitian positive definite linear systems. Zbl 1267.65038
Li, Cui-Xia; Wu, Shi-Liang
2012
On a finite element approximation of the Stokes equations under a slip boundary condition of the friction type. Zbl 1263.76043
Kashiwabara, Takahito
2013
Free boundary problem for one-dimensional motions of compressible gas and vacuum. Zbl 1096.35116
2004
Stability of nonconstant steady states in reaction-diffusion systems on graphs. Zbl 0997.35030
Yanagida, Eiji
2001
Global attractivity and periodic solutions in delay-differential equations related to models in physiology and population biology. Zbl 0758.34065
Kuang, Yang
1992
$$2^n$$-splitting or edge-splitting? A manner of splitting in dissipative systems. Zbl 0983.35061
Ei, Shin-ichiro; Nishiura, Yasumasa; Ueda, Kei-ichi
2001
Computation of the characteristic variety and the singular locus of a system of differential equations with polynomial coefficients. Zbl 0811.35006
Oaku, Toshinori
1994
Effects of random defective rate and imperfect rework process on economic production quantity model. Zbl 1080.91048
Chiu, Singa Wang; Gong, Dah-Chuan; Wee, Hui-Ming
2004
Algorithms for accurate, validated and fast polynomial evaluation. Zbl 1184.65029
Graillat, Stef; Langlois, Philippe; Louvet, Nicolas
2009
Inversion of extremely ill-conditioned matrices in floating-point. Zbl 1185.65050
Rump, Siegfried M.
2009
A parameterized splitting iteration method for complex symmetric linear systems. Zbl 1307.65038
Zhang, Guo-Feng; Zheng, Zhong
2014
A linear time algorithm for computing 3-edge-connected components in a multigraph. Zbl 0761.05089
Nagamochi, Hiroshi; Ibaraki, Toshihide
1992
Diffusion-induced extinction of a superior species in a competition system. Zbl 0909.92029
Iida, Masato; Muramatsu, Tatsuya; Ninomiya, Hirokazu; Yanagida, Eiji
1998
Application of M-convex submodular flow problem to mathematical economics. Zbl 1092.91058
Murota, Kazuo; Tamura, Akihisa
2003
On the dynamics of crystalline motions. Zbl 1306.74038
Giga, Yoshikazu; Gurtin, Morton E.; Matias, Jose’
1998
A model aided understanding of spot pattern formation in chemotactic E. Coli colonies. Zbl 1204.92010
Aotani, Akihiro; Mimura, Masayasu; Mollee, Thomas
2010
New algorithms for the intersection problem of submodular systems. Zbl 0770.90073
Fujishige, Satoru; Zhang, Xiaodong
1992
On the uniqueness of traveling waves in perturbed Korteweg-de Vries equations. Zbl 0806.35154
Derks, Gianne; van Gils, Stephan
1993
Global weak solutions of the compressible Euler equation with spherical symmetry. II. Zbl 0812.35101
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
1994
Numerical analysis of moving boundary problems using the boundary tracking method. Zbl 0892.76065
Kimura, Masato
1997
A Babuška-Aziz type proof of the circumradius condition. Zbl 1295.65011
Kobayashi, Kenta; Tsuchiya, Takuya
2014
Numerical verifications for eigenvalues of second-order elliptic operators. Zbl 1306.65278
Nakao, M. T.; Yamamoto, N.; Nagatou, K.
1999
A primal barrier function phase I algorithm for nonsymmetric conic optimization problems. Zbl 1254.90156
Matsukawa, Yasuaki; Yoshise, Akiko
2012
Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimensions. Zbl 1029.35130
Ei, Shin-Ichiro; Wei, Juncheng
2002
Analysis of approximate factorization algorithm. I. Zbl 0808.12001
Sasaki, Tateaki; Saito, Tomokatsu; Hilano, Teruhiko
1992
Asymptotic stability of the solutions to a full one-dimensional system of heat-conductive, reactive, compressible viscous gas. Zbl 0912.76077
Yanagi, Shigenori
1998
Solving multivariate algebraic equation by Hensel construction. Zbl 0941.12002
Sasaki, Tateaki; Kako, Fujio
1999
On the motion by singular interfacial energy. Zbl 0984.35090
Giga, Yoshikazu; Paolini, Maurizio; Rybka, Piotr
2001
Completely integrable gradient systems on the manifolds of Gaussian and multinomial distributions. Zbl 0814.58021
Nakamura, Yoshimasa
1993
Properties of Rankine-Hugoniot curves for van der Waals fluids. Zbl 1044.76029
LeFloch, Philippe G.; Mai Duc Thanh
2003
A method for finding the zeros of polynomials using a companion matrix. Zbl 1040.26005
Niu, Xiao-Ming; Sakurai, Tetsuya
2003
Uniqueness and convergence of numerical solution of the Cauchy problem for the Laplace equation by a charge simulation method. Zbl 1078.65081
Ohe, Takashi; Ohnaka, Kohzaburo
2004
$$M$$-convex functions and tree metrics. Zbl 1084.90036
Hirai, Hiroshi; Murota, Kazuo
2004
Complex analytic approach to the sinc-Gauss sampling formula. Zbl 1152.65123
Tanaka, Ken’ichiro; Sugihara, Masaaki; Murota, Kazuo
2008
Computing certain Fano 3-folds. Zbl 1166.14027
Brown, Gavin; Suzuki, Kaori
2007
Exact solutions of the Navier-Stokes equations via Leray’s scheme. Zbl 1306.76016
Okamoto, Hisashi
1997
A class of explicit parallel two-step Runge-Kutta methods. Zbl 1306.65227
Cong, Nguyen Huu; Mitsui, Taketomo
1997
The motion of three point vortices on a sphere. Zbl 1306.76012
Sakajo, Takashi
1999
Energy conservative stochastic difference scheme for stochastic Hamilton dynamical systems. Zbl 1306.37094
Misawa, Tetsuya
2000
Directed discrete midpoint convexity. Zbl 1462.52016
Tamura, Akihisa; Tsurumi, Kazuya
2021
General theory of interpolation error estimates on anisotropic meshes. Zbl 1467.65009
Ishizaka, Hiroki; Kobayashi, Kenta; Tsuchiya, Takuya
2021
Game-theoretic derivation of upper hedging prices of multivariate contingent claims and submodularity. Zbl 1436.91110
Matsuda, Takeru; Takemura, Akimichi
2020
Global attractor for a two-dimensional chemotaxis system with linear degradation and indirect signal production. Zbl 1436.37099
Nakaguchi, Etsushi; Noda, Kanako; Osaki, Koichi; Uemichi, Kenta
2020
A steepest descent algorithm for the computation of traveling dissipative solitons. Zbl 1431.65239
Choi, Y. S.; Connors, J. M.
2020
Finite element method for radially symmetric solution of a multidimensional semilinear heat equation. Zbl 1434.65189
Nakanishi, Toru; Saito, Norikazu
2020
A new algorithm for quadratic integer programming problems with cardinality constraint. Zbl 1442.90134
Wang, Fenlan; Cao, Liyuan
2020
Uniqueness of solutions to the coagulation-fragmentation equation with singular kernel. Zbl 1445.45017
Ghosh, Debdulal; Kumar, Jitendra
2020
Two strong convergence subgradient extragradient methods for solving variational inequalities in Hilbert spaces. Zbl 07042093
Thong, Duong Viet; Gibali, Aviv
2019
An improved method for verifying the existence and bounds of the inverse of second-order linear elliptic operators mapping to dual space. Zbl 07094577
Watanabe, Yoshitaka; Kinoshita, Takehiko; Nakao, Mitsuhiro T.
2019
Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues. Zbl 1418.65049
Ogita, Takeshi; Aishima, Kensuke
2019
Numerical aspect of large-scale electronic state calculation for flexible device material. Zbl 1418.65048
Hoshi, Takeo; Imachi, Hiroto; Kuwata, Akiyoshi; Kakuda, Kohsuke; Fujita, Takatoshi; Matsui, Hiroyuki
2019
Monotonic decrease of upper limit estimated with Gompertz model for data described using logistic model. Zbl 1408.39015
Satoh, Daisuke; Matsumura, Ryutaro
2019
New second-order radial epiderivatives and nonconvex set-valued optimization problems. Zbl 1425.90109
Wang, Qilin; Zhang, Xiaoyan; Li, Xiaobing; Zeng, Jing
2019
A duality based approach to the minimizing total variation flow in the space $$H^{-s}$$. Zbl 1410.94006
Giga, Yoshikazu; Muszkieta, Monika; Rybka, Piotr
2019
Constructive error analysis of a full-discrete finite element method for the heat equation. Zbl 1427.65216
Hashimoto, Kouji; Kimura, Takuma; Minamoto, Teruya; Nakao, Mitsuhiro T.
2019
Property of logistic data exposed with Gompertz model and resistance to noise in actual data. Zbl 1426.39021
Satoh, Daisuke
2019
A generalized predator-prey system with multiple discrete delays and habitat complexity. Zbl 1419.37083
Ma, Zhihui; Wang, Shufan
2019
Shift-invert rational Krylov method for an operator $$\phi$$-function of an unbounded linear operator. Zbl 1418.65064
Hashimoto, Yuka; Nodera, Takashi
2019
Frequently hypercyclic properties of the age and maturity structured model of population. Zbl 1418.35216
Hung, Cheng-Hung; Chang, Yu-Hsien
2019
Formalisation of probabilistic concealment. Zbl 1418.94062
2019
Optimal estimation for the Fujino-Morley interpolation error constants. Zbl 1418.65178
Liao, Shih-Kang; Shu, Yu-Chen; Liu, Xuefeng
2019
Efficient implementations of the modified Gram-Schmidt orthogonalization with a non-standard inner product. Zbl 1436.65046
Imakura, Akira; Yamamoto, Yusaku
2019
Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects. Zbl 1418.65044
Alvermann, Andreas; Basermann, Achim; Bungartz, Hans-Joachim; Carbogno, Christian; Ernst, Dominik; Fehske, Holger; Futamura, Yasunori; Galgon, Martin; Hager, Georg; Huber, Sarah; Huckle, Thomas; Ida, Akihiro; Imakura, Akira; Kawai, Masatoshi; Köcher, Simone; Kreutzer, Moritz; Kus, Pavel; Lang, Bruno; Lederer, Hermann; Manin, Valeriy; Marek, Andreas; Nakajima, Kengo; Nemec, Lydia; Reuter, Karsten; Rippl, Michael; Röhrig-Zöllner, Melven; Sakurai, Tetsuya; Scheffler, Matthias; Scheurer, Christoph; Shahzad, Faisal; Simoes Brambila, Danilo; Thies, Jonas; Wellein, Gerhard
2019
On the equivalence of the norms of the discrete differential forms in discrete exterior calculus. (On the equivalence of the norms of the discrete diffrential forms in discrete exterior calculus.) Zbl 1410.65419
Satoh, T.; Yaguchi, T.
2019
Matrix method for persistence modules on commutative ladders of finite type. Zbl 1456.55004
Asashiba, Hideto; Escolar, Emerson G.; Hiraoka, Yasuaki; Takeuchi, Hiroshi
2019
Existence proof of unimodal solutions of the Proudman-Johnson equation via interval analysis. Zbl 1410.76332
Miyaji, Tomoyuki; Okamoto, Hisashi
2019
Simple heuristic for data-driven computational elasticity with material data involving noise and outliers: a local robust regression approach. Zbl 1407.62444
Kanno, Yoshihiro
2018
Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements. Zbl 1450.65143
Xie, Manting; Xie, Hehu; Liu, Xuefeng
2018
Iterative refinement for symmetric eigenvalue decomposition. Zbl 1403.65018
Ogita, Takeshi; Aishima, Kensuke
2018
A multi-point iterative method for solving nonlinear equations with optimal order of convergence. Zbl 1406.65034
Salimi, Mehdi; Long, N. M. A. Nik; Sharifi, Somayeh; Pansera, Bruno Antonio
2018
Error analysis of Crouzeix-Raviart and Raviart-Thomas finite element methods. Zbl 06990739
Kobayashi, Kenta; Tsuchiya, Takuya
2018
A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm. Zbl 1416.65397
Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo
2018
Global behavior of SIS epidemic models with age structure and spatial heterogeneity. Zbl 1406.35433
Kuniya, Toshikazu; Inaba, Hisashi; Yang, Junyuan
2018
A path following interior-point method for linear complementarity problems over circular cones. Zbl 06990734
Pirhaji, M.; Zangiabadi, M.; Mansouri, H.
2018
The finite-time ruin probability of a risk model with stochastic return and Brownian perturbation. Zbl 1403.62194
Wang, Kaiyong; Chen, Lamei; Yang, Yang; Gao, Miaomiao
2018
A stable and structure-preserving scheme for a non-local Allen-Cahn equation. Zbl 1403.65043
Okumura, Makoto
2018
Existence of mass conserving solution for the coagulation-fragmentation equation with singular kernel. Zbl 1435.35125
Ghosh, Debdulal; Kumar, Jitendra
2018
Accelerated proximal gradient method for elastoplastic analysis with von Mises yield criterion. Zbl 1390.90428
Shimizu, Wataru; Kanno, Yoshihiro
2018
A differential equation model of retinal processing for understanding lightness optical illusions. Zbl 1390.93134
Sushida, Takamichi; Kondo, Shintaro; Sugihara, Kokichi; Mimura, Masayasu
2018
Approximation result for non-autonomous and non-local rock fracture models. Zbl 06859022
Doungmo Goufo, E. F.; Kubeka, A.
2018
Simpler exchange axioms for M-concave functions on generalized polymatroids. Zbl 1390.90474
Murota, Kazuo; Shioura, Akiyoshi
2018
A diffusion model for cell polarization with interactions on the membrane. Zbl 1390.35018
Morita, Yoshihisa; Sakamoto, Kunimochi
2018
On the finite element approximation for non-stationary saddle-point problems. Zbl 1406.65115
Kemmochi, Tomoya
2018
Stability of traveling wave fronts for a cooperative system with nonlocal dispersals. Zbl 1404.35467
Yu, Zhixian; Pei, Jingwen
2018
Unimodal solutions of the generalized Constantin-Lax-Majda equation with viscosity. Zbl 1403.76153
Kim, Sun-Chul; Miyaji, Tomoyuki; Okamoto, Hisashi
2018
An equivalent form for the $$\exp(-\phi(\xi))$$-expansion method. Zbl 1403.35071
Liu, Hong-Zhun
2018
Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative. Zbl 1403.74283
Yano, Keisuke; Yoshikawa, Shuji
2018
Three theorems on odd degree Chebyshev polynomials and more generalized permutation polynomials over a ring of module $$2^w$$. Zbl 1430.94075
Iwasaki, Atsushi; Umeno, Ken
2018
An efficient linear scheme to approximate nonlinear diffusion problems. Zbl 1400.35163
Murakawa, Hideki
2018
A perturbative picture of cubic tensors in dually flat spaces. Zbl 1386.53012
Kumagai, Atsuya
2018
Pseudo almost periodic dynamics of impulsive Nicholson’s blowflies model with nonlinear density-dependent mortality term. Zbl 1428.34093
Xia, Zhinan; Li, Zihui; Chai, Jinliang
2018
Some aspects of strong inversion formulas of an SFT. Zbl 1390.60194
Ogawa, Shigeyoshi; Uemura, Hideaki
2018
A stronger multiple exchange property for $$\mathrm{M}^{\natural }$$-concave functions. Zbl 1397.90333
Murota, Kazuo
2018
Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth. Zbl 1404.35254
Izuhara, Hirofumi; Kuto, Kousuke; Tsujikawa, Tohru
2018
Predictors for linear parabolic systems with input delay. Zbl 1405.93186
Sano, Hideki; Morimoto, Shigeki
2018
Geometric-integration tools for the simulation of musical sounds. Zbl 1405.37088
Ishikawa, Ai; Michels, Dominik L.; Yaguchi, Takaharu
2018
Fast verified computation for the solution of the T-congruence Sylvester equation. Zbl 1434.65047
Miyajima, Shinya
2018
A general iterative method for split common fixed point problem and variational inclusion problem. Zbl 06996763
2018
Positive and bounded nonstandard finite difference scheme for the Hodgkin-Huxley equations. Zbl 1407.65089
2018
Degenerations of NURBS curves while all of weights approaching infinity. Zbl 06996771
Zhang, Yue; Zhu, Chun-Gang
2018
Strong convergence theorem for a finite family of demimetric mappings with variational inequality problems in a Hilbert space. Zbl 1368.47087
Takahashi, Wataru
2017
Existence and asymptotic behavior of traveling wave fronts for a food-limited population model with spatio-temporal delay. Zbl 1380.35046
Wei, Jingdong; Tian, Lixin; Zhou, Jiangbo; Zhen, Zaili; Xu, Jing
2017
Modeling and bifurcation analysis of a viral infection with time delay and immune impairment. Zbl 1373.92126
Krishnapriya, P.; Pitchaimani, M.
2017
Geometric numerical integrators for Hunter-Saxton-like equations. Zbl 1379.37140
Miyatake, Yuto; Cohen, David; Furihata, Daisuke; Matsuo, Takayasu
2017
Risk-sensitive asset management in a general diffusion factor model: risk-seeking case. Zbl 1366.93702
Hata, Hiroaki
2017
On the difference between locally risk-minimizing and delta hedging strategies for exponential Lévy models. Zbl 1386.91133
Arai, Takuji; Imai, Yuto
2017
Analysis of multilevel finite volume approximation of 2D convective Cahn-Hilliard equation. Zbl 1399.65191
Appadu, A. R.; Djoko, Jules K.; Gidey, H. H.; Lubuma, J. M. S.
2017
On volumetric locking in a hybrid symmetric interior penalty method for nearly incompressible linear elasticity on polygonal meshes. Zbl 1433.65302
Koyama, Daisuke; Kikuchi, Fumio
2017
Approximating surface areas by interpolations on triangulations. Zbl 1380.65037
Kobayashi, Kenta; Tsuchiya, Takuya
2017
Topology optimization method for interior flow based on transient information of the lattice Boltzmann method with a level-set function. Zbl 1433.76126
Yonekura, Kazuo; Kanno, Yoshihiro
2017
FFT network for interest rate derivatives with Lévy processes. Zbl 1386.91137
Chiu, Mei Choi; Xu, Zhuolu; Wong, Hoi Ying
2017
A dynamic programming approach to a consumption/investment and retirement choice problem under borrowing constraints. Zbl 1386.91128
Lee, Ho-Seok; Koo, Byung Lim; Shin, Yong Hyun
2017
Towards the exact simulation using hyperbolic Brownian motion. Zbl 1411.91559
Ida, Yuuki; Imamura, Yuri
2017
Analysis of an algorithm to compute the cohomology groups of coherent sheaves and its applications. Zbl 1386.14207
Kudo, Momonari
2017
A line search filter-SQP method with Lagrangian function for nonlinear inequality constrained optimization. Zbl 1370.49031
Pang, Lili; Zhu, Detong
2017
Minimal networks for sensor counting problem using discrete Euler calculus. Zbl 1412.55020
Tanaka, Kohei
2017
Asymptotics for the finite-time ruin probability of a risk model with a general counting process. Zbl 1369.62281
Mao, Yanzhu; Wang, Kaiyong; Zhu, Ling; Ren, Yue
2017
The deterministic ERM and CVaR reformulation for the stochastic generalized complementarity problem. Zbl 1369.90174
Luo, Meiju; Wang, Lizhi
2017
Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables. Zbl 1377.39015
Isojima, Shin
2017
Derivation of replicator-mutator equations from a model in population genetics. Zbl 1371.92092
Wakano, Joe Yuichiro; Funaki, Tadahisa; Yokoyama, Satoshi
2017
Nonlocal eigenvalue problems arising in a generalized phase-field-type system. Zbl 1433.35170
Jimbo, Shuichi; Morita, Yoshihisa
2017
A genuinely stable Lagrange-Galerkin scheme for convection-diffusion problems. Zbl 1333.65113
Tabata, Masahisa; Uchiumi, Shinya
2016
Fictitious domain method for an equilibrium problem of the Timoshenko-type plate with a crack crossing the external boundary at zero angle. Zbl 1335.49019
Lazarev, N. P.; Itou, H.; Neustroeva, N. V.
2016
Shape optimization of flow field improving hydrodynamic stability. Zbl 1333.65068
Nakazawa, Takashi; Azegami, Hideyuki
2016
An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics. Zbl 1365.65145
Matthies, Gunar; Salimi, Mehdi; Sharifi, Somayeh; Varona, Juan Luis
2016
Numerical detection of blow-up: a new sufficient condition for blow-up. Zbl 1333.65087
Cho, Chien-Hong
2016
Indefinite LQ optimal control with equality constraint for discrete-time uncertain systems. Zbl 1353.49046
Chen, Yuefen; Zhu, Yuanguo
2016
Mathematical analysis of swine influenza epidemic model with optimal control. Zbl 1333.92058
Imran, Mudassar; Malik, Tufail; Ansari, Ali R.; Khan, Adnan
2016
An optimal investment, consumption-leisure and voluntary retirement choice problem with subsistence consumption constraints. Zbl 1349.91247
Lee, Ho-Seok; Shin, Yong Hyun
2016
Existence of discrete solitons in discrete nonlinear Schrödinger equations with non-weak couplings. Zbl 1352.37183
Yoshimura, Kazuyuki
2016
Locally optimal and heavy ball GMRES methods. Zbl 1354.65063
Imakura, Akira; Li, Ren-Cang; Zhang, Shao-Liang
2016
A new type of impossible objects that become partly invisible in a mirror. Zbl 1362.00025
Sugihara, Kokichi
2016
Relationships among contour integral-based methods for solving generalized eigenvalue problems. Zbl 1375.65058
Imakura, Akira; Du, Lei; Sakurai, Tetsuya
2016
Incomplete circulant and skew-circulant splitting iteration method for time-dependent space fractional diffusion equations. Zbl 1333.65088
Zeng, Min-Li; Zhang, Guo-Feng
2016
Effect of the Reynolds number on flow bifurcations and eddy genesis in a lid-driven sectorial cavity. Zbl 1354.35088
Bilgil, Halis; Gürcan, Fuat
2016
Semilocal properties of canonical divergences in dually flat spaces. Zbl 1374.53029
Kumagai, Atsuya
2016
Finite difference approximation for nonlinear Schrödinger equations with application to blow-up computation. Zbl 1365.35161
Saito, Norikazu; Sasaki, Takiko
2016
On CSCS-based iteration method for tempered fractional diffusion equations. Zbl 1373.65058
Qu, Wei; Lei, Siu-Long
2016
Relative interleavings and applications to sensor networks. Zbl 1350.55023
Hiraoka, Yasuaki; Kusano, Genki
2016
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#### Cited by 3,897 Authors

 33 Nakao, Mitsuhiro T. 33 Wei, Juncheng 25 Petković, Miodrag S. 22 Watanabe, Yoshitaka 20 Glowinski, Roland 19 Murota, Kazuo 19 Rui, Hongxing 18 Okamoto, Hisashi 16 Li, Xiaoli 15 Guo, Jong-Shenq 15 Yang, Tong 14 Jackiewicz, Zdzislaw 14 Matsuo, Takayasu 14 Oishi, Shin’ichi 14 Zhu, Changjiang 13 Wang, Mingxin 13 Winter, Matthias 12 Ei, Shin-Ichiro 12 Giga, Yoshikazu 12 Mimura, Masayasu 12 Wu, Changhong 12 Yamamoto, Nobito 12 Yazaki, Shigetoshi 11 Akagi, Goro 11 Cong, Nguyen Huu 11 Jator, Samuel N. 11 Strichartz, Robert S. 11 Yanagida, Eiji 11 Yuen, Manwai 11 Zhang, Meirong 10 Chen, Chiun-Chuan 10 Hung, Li-Chang 10 Mrozek, Marian 10 Nakamura, Yoshimasa 10 Sugihara, Masaaki 10 Tsuchiya, Takuya 10 Wang, Dehua 10 Zhang, Jianzhong 10 Zhou, Guanyu 9 Kinoshita, Takehiko 9 Kobayashi, Kenta 9 Li, Cuixia 9 Nagatou, Kaori 9 Ni, Wei-Ming 9 Novaga, Matteo 9 Peng, Rui 9 Sakajo, Takashi 9 Ward, Michael J. 8 Aishima, Kensuke 8 Chen, Gui-Qiang G. 8 Choi, Young-Pil 8 Du, Kui 8 Ducomet, Bernard 8 Ishiwata, Emiko 8 Kan-on, Yukio 8 Kao, Chiu-Yen 8 Kolokolnikov, Theodore 8 Li, Wan-Tong 8 Luo, Tao 8 Ogita, Takeshi 8 Tabata, Masahisa 8 Teplyaev, Alexander 8 Zhang, Guofeng 7 Chambolle, Antonin 7 Cho, Chien-Hong 7 D’Ambrosio, Raffaele 7 Franco, J. Méndez 7 Hilhorst, Danielle 7 Hsu, Cheng-Hsiung 7 Huang, Feimin 7 Jang, Juhi 7 Jiao, Jianjun 7 Jing, Feifei 7 Kanno, Yoshihiro 7 Kim, Sun-Chul 7 Lazarev, Nyurgun Petrovich 7 Liu, Xuefeng 7 Lou, Yuan 7 Mai Duc Thanh 7 Makino, Tetu 7 Mielke, Alexander 7 Muroya, Yoshiaki 7 Nagamochi, Hiroshi 7 Nishiura, Yasumasa 7 Notsu, Hirofumi 7 Obaya, Rafael 7 Ogata, Hidenori 7 Pan, Tsorng-Whay 7 Rández, Luis 7 Rossi, Riccarda 7 Rybka, Piotr 7 Saito, Norikazu 7 Sasaki, Tateaki 7 Ševčovič, Daniel 7 Shen, Wenxian 7 Tsuge, Naoki 7 Wu, Shiliang 7 Yoshida, Natsumi 7 Zeng, Huihui 7 Zhang, Guobao ...and 3,797 more Authors
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#### Cited in 459 Journals

 218 Japan Journal of Industrial and Applied Mathematics 142 Journal of Differential Equations 140 Journal of Computational and Applied Mathematics 93 Journal of Mathematical Analysis and Applications 75 Applied Mathematics and Computation 58 Computers & Mathematics with Applications 52 Journal of Computational Physics 44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 41 Journal of Scientific Computing 40 Discrete and Continuous Dynamical Systems. Series B 39 Archive for Rational Mechanics and Analysis 39 Applied Numerical Mathematics 38 Physica D 37 Nonlinear Analysis. Real World Applications 35 Numerical Algorithms 34 Computer Methods in Applied Mechanics and Engineering 29 Discrete and Continuous Dynamical Systems 27 Applied Mathematics Letters 26 Mathematical Methods in the Applied Sciences 25 Journal of Mathematical Biology 24 Communications in Mathematical Physics 24 Journal of Mathematical Physics 24 Linear Algebra and its Applications 22 SIAM Journal on Mathematical Analysis 22 Journal of Dynamics and Differential Equations 21 Numerische Mathematik 21 Transactions of the American Mathematical Society 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 20 Mathematics of Computation 20 Calculus of Variations and Partial Differential Equations 19 BIT 19 Discrete and Continuous Dynamical Systems. Series S 17 Theoretical Computer Science 17 JSIAM Letters 16 Nonlinearity 16 Communications in Partial Differential Equations 16 Communications on Pure and Applied Analysis 15 Discrete Applied Mathematics 15 SIAM Journal on Scientific Computing 15 Engineering Analysis with Boundary Elements 14 Bulletin of Mathematical Biology 14 Chaos, Solitons and Fractals 14 Numerical Functional Analysis and Optimization 14 Journal of Applied Mathematics 14 Journal of Hyperbolic Differential Equations 13 Mathematical Biosciences 13 Journal of Functional Analysis 13 Proceedings of the American Mathematical Society 13 International Journal of Computer Mathematics 13 Abstract and Applied Analysis 13 Journal of Mathematical Fluid Mechanics 12 Applicable Analysis 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Mathematical Programming. Series A. Series B 11 Acta Mathematicae Applicatae Sinica. English Series 11 Computational and Applied Mathematics 11 Mathematical Problems in Engineering 11 Communications in Nonlinear Science and Numerical Simulation 11 Advances in Difference Equations 11 Journal of Theoretical Biology 10 Journal of Symbolic Computation 10 Mathematical and Computer Modelling 10 European Journal of Applied Mathematics 10 Applied Mathematical Modelling 9 Communications on Pure and Applied Mathematics 9 Transport Theory and Statistical Physics 9 Journal of Optimization Theory and Applications 9 Mathematics and Computers in Simulation 9 Proceedings of the Japan Academy. Series A 9 SIAM Journal on Numerical Analysis 9 Chinese Annals of Mathematics. Series B 9 Numerical Methods for Partial Differential Equations 9 Applications of Mathematics 9 SIAM Journal on Applied Mathematics 9 Journal of Nonlinear Science 9 Computational Optimization and Applications 9 Advances in Computational Mathematics 9 Chaos 9 Nonlinear Analysis. Theory, Methods & Applications 8 Quarterly of Applied Mathematics 8 European Journal of Operational Research 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Discrete Dynamics in Nature and Society 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 International Journal of Biomathematics 7 Advances in Mathematics 7 Optimization 7 Complexity 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Journal of Applied Mathematics and Computing 7 SIAM Journal on Applied Dynamical Systems 7 Boundary Value Problems 7 Journal of Biological Dynamics 7 Optimization Letters 7 Science China. Mathematics 6 Inverse Problems 6 Information Processing Letters 6 Journal d’Analyse Mathématique ...and 359 more Journals
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#### Cited in 60 Fields

 1,310 Partial differential equations (35-XX) 982 Numerical analysis (65-XX) 517 Fluid mechanics (76-XX) 399 Biology and other natural sciences (92-XX) 336 Ordinary differential equations (34-XX) 264 Dynamical systems and ergodic theory (37-XX) 203 Operations research, mathematical programming (90-XX) 138 Mechanics of deformable solids (74-XX) 124 Computer science (68-XX) 115 Operator theory (47-XX) 115 Calculus of variations and optimal control; optimization (49-XX) 105 Probability theory and stochastic processes (60-XX) 82 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 75 Linear and multilinear algebra; matrix theory (15-XX) 69 Measure and integration (28-XX) 66 Statistical mechanics, structure of matter (82-XX) 58 Optics, electromagnetic theory (78-XX) 58 Systems theory; control (93-XX) 53 Combinatorics (05-XX) 53 Differential geometry (53-XX) 48 Integral equations (45-XX) 46 Number theory (11-XX) 46 Functions of a complex variable (30-XX) 45 Statistics (62-XX) 44 Classical thermodynamics, heat transfer (80-XX) 42 Algebraic geometry (14-XX) 39 Global analysis, analysis on manifolds (58-XX) 38 Real functions (26-XX) 37 Difference and functional equations (39-XX) 34 Field theory and polynomials (12-XX) 33 Mechanics of particles and systems (70-XX) 30 Commutative algebra (13-XX) 30 Convex and discrete geometry (52-XX) 28 Astronomy and astrophysics (85-XX) 25 Information and communication theory, circuits (94-XX) 22 Quantum theory (81-XX) 21 Approximations and expansions (41-XX) 21 Algebraic topology (55-XX) 20 Potential theory (31-XX) 16 Several complex variables and analytic spaces (32-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Functional analysis (46-XX) 14 General topology (54-XX) 12 Geophysics (86-XX) 11 Associative rings and algebras (16-XX) 10 Special functions (33-XX) 8 Relativity and gravitational theory (83-XX) 7 General and overarching topics; collections (00-XX) 7 Mathematical logic and foundations (03-XX) 7 Integral transforms, operational calculus (44-XX) 6 Group theory and generalizations (20-XX) 4 History and biography (01-XX) 4 Manifolds and cell complexes (57-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Sequences, series, summability (40-XX) 3 Geometry (51-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX)