Addario-Berry, Louigi; Beckman, Erin; Lin, Jessica Symmetric cooperative motion in one dimension. (English) Zbl 07785758 Probab. Theory Relat. Fields 188, No. 1-2, 625-666 (2024). MSC: 60F05 60K35 39A12 35K61 35K92 65M12 PDFBibTeX XMLCite \textit{L. Addario-Berry} et al., Probab. Theory Relat. Fields 188, No. 1--2, 625--666 (2024; Zbl 07785758) Full Text: DOI arXiv
Ashyralyyev, Charyyar On the stable difference scheme for source identification nonlocal elliptic problem. (English) Zbl 07781312 Math. Methods Appl. Sci. 46, No. 2, 2488-2499 (2023). MSC: 65M32 65J22 65M06 65N06 35R30 39A14 PDFBibTeX XMLCite \textit{C. Ashyralyyev}, Math. Methods Appl. Sci. 46, No. 2, 2488--2499 (2023; Zbl 07781312) Full Text: DOI
Chang, Yong-Kui; Ponce, Rodrigo Properties of vector-valued \(\tau \)-discrete fractional calculus and its connection with Caputo fractional derivatives. (English) Zbl 07698580 Constr. Approx. 57, No. 3, 1133-1144 (2023). MSC: 26Axx 39A12 65J10 65M22 PDFBibTeX XMLCite \textit{Y.-K. Chang} and \textit{R. Ponce}, Constr. Approx. 57, No. 3, 1133--1144 (2023; Zbl 07698580) Full Text: DOI
Shi, Qingyan; Song, Yongli Spatial movement with nonlocal memory. (English) Zbl 1518.35056 Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5580-5596 (2023). MSC: 35B32 35K20 35K57 35R09 39B42 92D25 PDFBibTeX XMLCite \textit{Q. Shi} and \textit{Y. Song}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5580--5596 (2023; Zbl 1518.35056) Full Text: DOI
Günther, Felix The convergence of discrete period matrices. arXiv:2307.15468 Preprint, arXiv:2307.15468 [math.CV] (2023). MSC: 39A12 65M60 30F30 BibTeX Cite \textit{F. Günther}, ``The convergence of discrete period matrices'', Preprint, arXiv:2307.15468 [math.CV] (2023) Full Text: arXiv OA License
Sumin, V. I. Volterra functional equations in the theory of optimization of distributed systems. On the problem of singularity of controlled initial-boundary value problems. (English. Russian original) Zbl 1510.39017 Proc. Steklov Inst. Math. 319, Suppl. 1, S257-S270 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 3, 188-201 (2022). MSC: 39B22 49J21 93C30 PDFBibTeX XMLCite \textit{V. I. Sumin}, Proc. Steklov Inst. Math. 319, S257--S270 (2022; Zbl 1510.39017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 3, 188--201 (2022) Full Text: DOI
Polat, Refet On a solution to a nonlocal inverse coefficient problem using feed-forward neural networks. (English) Zbl 1518.35683 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, No. 2, 249-258 (2022). MSC: 35R30 26B40 35K20 39B22 PDFBibTeX XMLCite \textit{R. Polat}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, No. 2, 249--258 (2022; Zbl 1518.35683) Full Text: DOI
Matus, P. P.; Hoang Thi Kieu Anh; Pylak, D. Compact difference schemes on a three-point stencil for hyperbolic-parabolic equations with constant coefficients. (English. Russian original) Zbl 07613640 Differ. Equ. 58, No. 9, 1277-1286 (2022); translation from Differ. Uravn. 58, No. 9, 1284-1293 (2022). MSC: 65Mxx 39-XX PDFBibTeX XMLCite \textit{P. P. Matus} et al., Differ. Equ. 58, No. 9, 1277--1286 (2022; Zbl 07613640); translation from Differ. Uravn. 58, No. 9, 1284--1293 (2022) Full Text: DOI
Cisneros, Jorge; Deconinck, Bernard The numerical solution of semidiscrete linear evolution problems on the finite interval using the unified transform method. (English) Zbl 1496.65145 Q. Appl. Math. 80, No. 4, 739-786 (2022). MSC: 65M22 65M06 65N85 39A27 39A14 PDFBibTeX XMLCite \textit{J. Cisneros} and \textit{B. Deconinck}, Q. Appl. Math. 80, No. 4, 739--786 (2022; Zbl 1496.65145) Full Text: DOI arXiv
Cerpa, Eduardo; Lecaros, Rodrigo; Nguyen, Thuy N. T.; Pérez, Ariel Carleman estimates and controllability for a semi-discrete fourth-order parabolic equation. (English. French summary) Zbl 1492.35148 J. Math. Pures Appl. (9) 164, 93-130 (2022). MSC: 35K52 39A14 65M06 93B05 93B07 PDFBibTeX XMLCite \textit{E. Cerpa} et al., J. Math. Pures Appl. (9) 164, 93--130 (2022; Zbl 1492.35148) Full Text: DOI
Kumar, Kamlesh; Kumar, Jogendra; Pandey, Rajesh K. A fully finite difference scheme for time-fractional telegraph equation involving Atangana Baleanu Caputo fractional derivative. (English) Zbl 07549894 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 154, 12 p. (2022). MSC: 65Mxx 39-XX PDFBibTeX XMLCite \textit{K. Kumar} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 154, 12 p. (2022; Zbl 07549894) Full Text: DOI
Frasca-Caccia, Gianluca; Hydon, Peter E. A new technique for preserving conservation laws. (English) Zbl 1492.65235 Found. Comput. Math. 22, No. 2, 477-506 (2022). MSC: 65M06 65M22 65D32 37K06 39A14 68W30 35C08 35Q35 PDFBibTeX XMLCite \textit{G. Frasca-Caccia} and \textit{P. E. Hydon}, Found. Comput. Math. 22, No. 2, 477--506 (2022; Zbl 1492.65235) Full Text: DOI arXiv
Moiseev, N. Ya.; Shmakov, V. M. Semi-implicit and semidiscrete difference schemes for solving a nonstationary kinetic equation of thermal radiative transfer and energy equation. (English. Russian original) Zbl 07514285 Comput. Math. Math. Phys. 62, No. 3, 476-486 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 3, 488-498 (2022); erratum ibid. 62, No. 5, 861 (2022). MSC: 65Mxx 39-XX PDFBibTeX XMLCite \textit{N. Ya. Moiseev} and \textit{V. M. Shmakov}, Comput. Math. Math. Phys. 62, No. 3, 476--486 (2022; Zbl 07514285); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 3, 488--498 (2022); erratum ibid. 62, No. 5, 861 (2022) Full Text: DOI
Zhang, Wensheng; Zhao, Zhongliu Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation. (English) Zbl 1487.35454 Appl. Anal. 101, No. 4, 1430-1455 (2022). MSC: 35R30 35L35 39A12 65N21 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{Z. Zhao}, Appl. Anal. 101, No. 4, 1430--1455 (2022; Zbl 1487.35454) Full Text: DOI
Chen, Hu; Wang, Yue; Fu, Hongfei \( \alpha \)-robust \(H^1\)-norm error estimate of nonuniform Alikhanov scheme for fractional sub-diffusion equation. (English) Zbl 1524.65328 Appl. Math. Lett. 125, Article ID 107771, 7 p. (2022). MSC: 65M06 35R11 65M12 65M15 39A60 26A33 65N06 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math. Lett. 125, Article ID 107771, 7 p. (2022; Zbl 1524.65328) Full Text: DOI
Popescu, M.; Popescu, P.; Ramos, H. Some new discretizations of the Euler-Lagrange equation. (English) Zbl 1492.65242 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106002, 14 p. (2021). MSC: 65M06 35Q31 37M15 39A12 PDFBibTeX XMLCite \textit{M. Popescu} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106002, 14 p. (2021; Zbl 1492.65242) Full Text: DOI
Frasca-Caccia, Gianluca; Hydon, Peter E. Numerical preservation of multiple local conservation laws. (English) Zbl 1510.65191 Appl. Math. Comput. 403, Article ID 126203, 23 p. (2021). MSC: 65M06 37K06 39A14 PDFBibTeX XMLCite \textit{G. Frasca-Caccia} and \textit{P. E. Hydon}, Appl. Math. Comput. 403, Article ID 126203, 23 p. (2021; Zbl 1510.65191) Full Text: DOI arXiv
D’Adda, Alessandro Simplicial gravity with coordinates. (English) Zbl 1480.83028 Classical Quantum Gravity 38, No. 11, Article ID 115013, 39 p. (2021). MSC: 83C27 65M06 39A12 70S05 PDFBibTeX XMLCite \textit{A. D'Adda}, Classical Quantum Gravity 38, No. 11, Article ID 115013, 39 p. (2021; Zbl 1480.83028) Full Text: DOI arXiv
Chitour, Yacine; Marx, Swann; Mazanti, Guilherme One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates. (English) Zbl 1473.35354 ESAIM, Control Optim. Calc. Var. 27, Paper No. 84, 62 p. (2021). MSC: 35L20 35L05 35B40 35R70 39A60 93D20 PDFBibTeX XMLCite \textit{Y. Chitour} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 84, 62 p. (2021; Zbl 1473.35354) Full Text: DOI arXiv
Yang, Shuang; Li, Yangrong Dynamics and invariant measures of multi-stochastic sine-Gordon lattices with random viscosity and nonlinear noise. (English) Zbl 1465.35428 J. Math. Phys. 62, No. 5, Article ID 051510, 21 p. (2021). MSC: 35R60 35B41 35K51 35K58 39A12 PDFBibTeX XMLCite \textit{S. Yang} and \textit{Y. Li}, J. Math. Phys. 62, No. 5, Article ID 051510, 21 p. (2021; Zbl 1465.35428) Full Text: DOI
Galtung, Sondre Tesdal; Raynaud, Xavier A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa-Holm system. (English) Zbl 1464.35280 Nonlinearity 34, No. 4, 2220-2274 (2021). MSC: 35Q51 35Q53 35A15 37K58 39A60 65M80 35A01 35A02 PDFBibTeX XMLCite \textit{S. T. Galtung} and \textit{X. Raynaud}, Nonlinearity 34, No. 4, 2220--2274 (2021; Zbl 1464.35280) Full Text: DOI arXiv
Solis, Francisco J.; Barradas, Ignacio; Juarez, Daniel From backward approximations to Lagrange polynomials in discrete advection-reaction operators. (English) Zbl 1483.47126 Differ. Equ. Dyn. Syst. 29, No. 2, 363-375 (2021). MSC: 47N40 65M06 47B37 39A12 PDFBibTeX XMLCite \textit{F. J. Solis} et al., Differ. Equ. Dyn. Syst. 29, No. 2, 363--375 (2021; Zbl 1483.47126) Full Text: DOI
Kato, Nobuyuki; Misawa, Masashi; Yamaura, Yoshihiko The discrete Morse flow method for parabolic \(p\)-Laplacian systems. (English) Zbl 1461.35142 Ann. Mat. Pura Appl. (4) 200, No. 3, 1245-1275 (2021). MSC: 35K92 35K51 35B65 35K65 39A12 PDFBibTeX XMLCite \textit{N. Kato} et al., Ann. Mat. Pura Appl. (4) 200, No. 3, 1245--1275 (2021; Zbl 1461.35142) Full Text: DOI
Yoshikawa, Shuji; Kawashima, Shuichi Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws. (English) Zbl 1459.35273 J. Math. Anal. Appl. 498, No. 1, Article ID 124929, 18 p. (2021). MSC: 35L45 35L60 39A12 35A35 65M06 PDFBibTeX XMLCite \textit{S. Yoshikawa} and \textit{S. Kawashima}, J. Math. Anal. Appl. 498, No. 1, Article ID 124929, 18 p. (2021; Zbl 1459.35273) Full Text: DOI
Harrach, Bastian Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem. (English) Zbl 1459.35392 Numer. Math. 147, No. 1, 29-70 (2021). MSC: 35R30 39A12 35J25 65M32 58C15 PDFBibTeX XMLCite \textit{B. Harrach}, Numer. Math. 147, No. 1, 29--70 (2021; Zbl 1459.35392) Full Text: DOI arXiv
Zhang, Guoping; Cai, Mingchao Normal mode analysis of 3D incompressible viscous fluid flow models. (English) Zbl 1455.65143 Appl. Anal. 100, No. 1, 116-134 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 76D05 76D07 97N40 39A12 35Q30 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{M. Cai}, Appl. Anal. 100, No. 1, 116--134 (2021; Zbl 1455.65143) Full Text: DOI Link
Jagtap, Ameya D. Higher order scheme for sine-Gordon equation in nonlinear non-homogeneous media. (English) Zbl 1466.65155 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 465-474 (2020). MSC: 65M70 35Q55 35C08 39A12 33C45 PDFBibTeX XMLCite \textit{A. D. Jagtap}, AIMS Ser. Appl. Math. 10, 465--474 (2020; Zbl 1466.65155)
Barsukow, Wasilij Stationary states of finite volume discretizations of multi-dimensional linear hyperbolic systems. (English) Zbl 1466.65089 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 296-303 (2020). MSC: 65M08 65M06 35L40 39A70 76Q05 PDFBibTeX XMLCite \textit{W. Barsukow}, AIMS Ser. Appl. Math. 10, 296--303 (2020; Zbl 1466.65089)
Cancès, Clément; Chainais-Hillairet, Claire; Herda, Maxime; Krell, Stella Large time behavior of nonlinear finite volume schemes for convection-diffusion equations. (English) Zbl 1451.65117 SIAM J. Numer. Anal. 58, No. 5, 2544-2571 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 35K51 35Q84 39B62 35B40 PDFBibTeX XMLCite \textit{C. Cancès} et al., SIAM J. Numer. Anal. 58, No. 5, 2544--2571 (2020; Zbl 1451.65117) Full Text: DOI arXiv
Lizama, Carlos; Murillo-Arcila, Marina Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes. (English) Zbl 1467.45003 Discrete Contin. Dyn. Syst. 40, No. 1, 509-528 (2020). Reviewer: Alexander N. Tynda (Penza) MSC: 45D05 45N05 45K05 42A45 47A58 39A12 65M60 PDFBibTeX XMLCite \textit{C. Lizama} and \textit{M. Murillo-Arcila}, Discrete Contin. Dyn. Syst. 40, No. 1, 509--528 (2020; Zbl 1467.45003) Full Text: DOI
Yang, Yubo; Ma, Heping Fractional collocation methods for multi-term linear and nonlinear fractional differential equations with variable coefficients on the half line. (English) Zbl 1499.65583 Int. J. Comput. Math. 96, No. 2, 399-416 (2019). MSC: 65M70 26A33 65L05 15A99 39A70 35R11 33C45 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{H. Ma}, Int. J. Comput. Math. 96, No. 2, 399--416 (2019; Zbl 1499.65583) Full Text: DOI
Zhang, Yingnan; Hu, Xingbiao; He, Yi; Sun, Jianqing A numerical study of the 3-periodic wave solutions to Toda-type equations. (English) Zbl 1490.65179 Commun. Comput. Phys. 26, No. 2, 579-598 (2019). MSC: 65M22 65H10 65Q10 39A23 39A36 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Commun. Comput. Phys. 26, No. 2, 579--598 (2019; Zbl 1490.65179) Full Text: DOI
Hendy, Ahmed S.; Macías-Díaz, Jorge E. A conservative scheme with optimal error estimates for a multidimensional space-fractional Gross-Pitaevskii equation. (English) Zbl 1434.65119 Int. J. Appl. Math. Comput. Sci. 29, No. 4, 713-723 (2019). MSC: 65M06 35R11 39A60 65M12 35Q55 PDFBibTeX XMLCite \textit{A. S. Hendy} and \textit{J. E. Macías-Díaz}, Int. J. Appl. Math. Comput. Sci. 29, No. 4, 713--723 (2019; Zbl 1434.65119) Full Text: DOI
Frasca-Caccia, Gianluca; Hydon, Peter E. Locally conservative finite difference schemes for the modified KdV equation. (English) Zbl 1436.65100 J. Comput. Dyn. 6, No. 2, 307-323 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 35Q53 39A14 37K06 PDFBibTeX XMLCite \textit{G. Frasca-Caccia} and \textit{P. E. Hydon}, J. Comput. Dyn. 6, No. 2, 307--323 (2019; Zbl 1436.65100) Full Text: DOI arXiv
Hošek, Radim; Volek, Jonáš Discrete advection-diffusion equations on graphs: maximum principle and finite volumes. (English) Zbl 1429.65212 Appl. Math. Comput. 361, 630-644 (2019). MSC: 65M08 34A33 35B50 35R02 39A06 39A12 65M22 65M50 PDFBibTeX XMLCite \textit{R. Hošek} and \textit{J. Volek}, Appl. Math. Comput. 361, 630--644 (2019; Zbl 1429.65212) Full Text: DOI
Kopachevsky, N. D.; Voytitsky, Victor I.; Sitshayeva, Z. Z. On two hydromechanical problems inspired by works of S. Krein. (English) Zbl 1425.35155 Kuchment, Peter (ed.) et al., Differential equations, mathematical physics, and applications. Selim Grigorievich Krein centennial. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 734, 219-238 (2019). MSC: 35Q35 35D35 46E20 39B42 76B99 76D99 PDFBibTeX XMLCite \textit{N. D. Kopachevsky} et al., Contemp. Math. 734, 219--238 (2019; Zbl 1425.35155) Full Text: DOI
Al-Salti, Nasser; Kerbal, Sebti; Kirane, Mokhtar Initial-boundary value problems for a time-fractional differential equation with involution perturbation. (English) Zbl 1419.35235 Math. Model. Nat. Phenom. 14, No. 3, Paper No. 312, 15 p. (2019). MSC: 35R30 35R11 39B52 PDFBibTeX XMLCite \textit{N. Al-Salti} et al., Math. Model. Nat. Phenom. 14, No. 3, Paper No. 312, 15 p. (2019; Zbl 1419.35235) Full Text: DOI Link
Stehlík, Petr; Volek, Jonáš Nonuniqueness of implicit lattice Nagumo equation. (English) Zbl 07088736 Appl. Math., Praha 64, No. 2, 169-194 (2019). MSC: 65Mxx 35K57 39A12 65Q10 PDFBibTeX XMLCite \textit{P. Stehlík} and \textit{J. Volek}, Appl. Math., Praha 64, No. 2, 169--194 (2019; Zbl 07088736) Full Text: DOI
Kumar, Sunil; Kumar, Bayya Venkatesulu Rathish; ten Thije Boonkkamp, Johannes Hendrikus Maria Complete flux scheme for parabolic singularly perturbed differential-difference equations. (English) Zbl 1418.65113 Numer. Methods Partial Differ. Equations 35, No. 2, 790-804 (2019). MSC: 65M08 35B25 35K10 39A14 65M12 65M06 PDFBibTeX XMLCite \textit{S. Kumar} et al., Numer. Methods Partial Differ. Equations 35, No. 2, 790--804 (2019; Zbl 1418.65113) Full Text: DOI
Slavík, Antonín; Stehlík, Petr; Volek, Jonáš Well-posedness and maximum principles for lattice reaction-diffusion equations. (English) Zbl 1415.35068 Adv. Nonlinear Anal. 8, 303-322 (2019). MSC: 35B50 35F25 39A14 65M12 35K15 35K57 39A12 34A33 PDFBibTeX XMLCite \textit{A. Slavík} et al., Adv. Nonlinear Anal. 8, 303--322 (2019; Zbl 1415.35068) Full Text: DOI Link
Sun, Chong; Sheng, Qin An exploration of a balanced up-downwind scheme for solving Heston volatility model equations on variable grids. (English) Zbl 1461.91358 Algorithms (Basel) 12, No. 2, Paper No. 30, 17 p. (2019). MSC: 91G60 91G20 39A60 65M06 65M12 PDFBibTeX XMLCite \textit{C. Sun} and \textit{Q. Sheng}, Algorithms (Basel) 12, No. 2, Paper No. 30, 17 p. (2019; Zbl 1461.91358) Full Text: DOI
Barsukow, Wasilij Stationarity preserving schemes for multi-dimensional linear systems. (English) Zbl 1415.65207 Math. Comput. 88, No. 318, 1621-1645 (2019). MSC: 65M08 65M06 39A70 35L65 76M20 76M12 PDFBibTeX XMLCite \textit{W. Barsukow}, Math. Comput. 88, No. 318, 1621--1645 (2019; Zbl 1415.65207) Full Text: DOI arXiv
Awanou, Gerard Uniform limit of discrete convex functions. arXiv:1904.02128 Preprint, arXiv:1904.02128 [math.NA] (2019). MSC: 39A12 35J60 65N12 65M06 BibTeX Cite \textit{G. Awanou}, ``Uniform limit of discrete convex functions'', Preprint, arXiv:1904.02128 [math.NA] (2019) Full Text: arXiv OA License
Hwang, Jaeho A complete characterization of the blow-up solutions to discrete \(p\)-Laplacian parabolic equations with \(q\)-reaction under the mixed boundary conditions. arXiv:1901.03038 Preprint, arXiv:1901.03038 [math.AP] (2019). MSC: 39A12 35F31 35K91 35K57 BibTeX Cite \textit{J. Hwang}, ``A complete characterization of the blow-up solutions to discrete $p$-Laplacian parabolic equations with $q$-reaction under the mixed boundary conditions'', Preprint, arXiv:1901.03038 [math.AP] (2019) Full Text: arXiv OA License
Namjoo, Mehran; Zeinadini, Mehdi; Zibaei, Sadegh Nonstandard finite-difference scheme to approximate the generalized Burgers-Fisher equation. (English) Zbl 1404.39011 Math. Methods Appl. Sci. 41, No. 17, 8212-8228 (2018). MSC: 39A14 39A70 65M06 65M22 PDFBibTeX XMLCite \textit{M. Namjoo} et al., Math. Methods Appl. Sci. 41, No. 17, 8212--8228 (2018; Zbl 1404.39011) Full Text: DOI
Namjoo, Mehran; Zibaei, Sadegh Numerical solutions of FitzHugh-Nagumo equation by exact finite-difference and NSFD schemes. (English) Zbl 1397.65145 Comput. Appl. Math. 37, No. 2, 1395-1411 (2018). MSC: 65M06 39A14 39A70 65M22 35Q53 65M15 PDFBibTeX XMLCite \textit{M. Namjoo} and \textit{S. Zibaei}, Comput. Appl. Math. 37, No. 2, 1395--1411 (2018; Zbl 1397.65145) Full Text: DOI
Iwao, Shinsuke; Nagai, Hidetomo The discrete Toda equation revisited: dual \(\beta\)-Grothendieck polynomials, ultradiscretization, and static solitons. (English) Zbl 1390.37099 J. Phys. A, Math. Theor. 51, No. 13, Article ID 134002, 16 p. (2018). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J35 16E20 35C08 39A12 65M22 65N22 PDFBibTeX XMLCite \textit{S. Iwao} and \textit{H. Nagai}, J. Phys. A, Math. Theor. 51, No. 13, Article ID 134002, 16 p. (2018; Zbl 1390.37099) Full Text: DOI arXiv
Xia, Baoqiang; Fokas, A. S. Initial-boundary value problems associated with the Ablowitz-Ladik system. (English) Zbl 1380.35146 Physica D 364, 27-61 (2018). MSC: 35Q55 35Q15 39A14 39A12 PDFBibTeX XMLCite \textit{B. Xia} and \textit{A. S. Fokas}, Physica D 364, 27--61 (2018; Zbl 1380.35146) Full Text: DOI arXiv
Song, Jiang-Yan; Hao, Hui-Qin; Zhang, Xiao-Mei Discrete soliton solutions for a generalized discrete nonlinear Schrödinger equation with variable coefficients via discrete \(N\)-fold Darboux transformation. (English) Zbl 1381.65068 Appl. Math. Lett. 78, 126-132 (2018). MSC: 65M06 39A12 35Q55 35Q51 35A22 39A10 PDFBibTeX XMLCite \textit{J.-Y. Song} et al., Appl. Math. Lett. 78, 126--132 (2018; Zbl 1381.65068) Full Text: DOI
El-Sayed, Ahmed M. A.; Salman, S. M.; Elabd, N. A. Stability analysis and chaos control of the discretized fractional-order Mackey-Glass equation. (English) Zbl 1488.39042 J. Fract. Calc. Appl. 8, No. 1, 16-28 (2017). MSC: 39A30 39A33 39A13 39A28 26A33 65M06 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} et al., J. Fract. Calc. Appl. 8, No. 1, 16--28 (2017; Zbl 1488.39042) Full Text: Link
Zdanowicz, Małgorzata; Peradzyński, Zbigniew Mixed problem for quasilinear hyperbolic system with coefficients functionally dependent on solution. (English) Zbl 1424.35248 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 25, No. 3, 215-244 (2017). MSC: 35L50 39Bxx 65M25 82D10 PDFBibTeX XMLCite \textit{M. Zdanowicz} and \textit{Z. Peradzyński}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 25, No. 3, 215--244 (2017; Zbl 1424.35248) Full Text: DOI
Li, Can Linearized difference schemes for a BBM equation with a fractional nonlocal viscous term. (English) Zbl 1427.65169 Appl. Math. Comput. 311, 240-250 (2017). MSC: 65M06 35R11 39B12 65M12 PDFBibTeX XMLCite \textit{C. Li}, Appl. Math. Comput. 311, 240--250 (2017; Zbl 1427.65169) Full Text: DOI
Sun, Xiaorui; Zhao, Fengqun; Chen, Shuiping Numerical algorithms for the time-space tempered fractional Fokker-Planck equation. (English) Zbl 1422.65183 Adv. Difference Equ. 2017, Paper No. 259, 17 p. (2017). MSC: 65M06 35R11 65M12 26A33 82C31 35Q84 39A70 PDFBibTeX XMLCite \textit{X. Sun} et al., Adv. Difference Equ. 2017, Paper No. 259, 17 p. (2017; Zbl 1422.65183) Full Text: DOI
Mezzadri, Francesco; Galligani, Emanuele On the lagged diffusivity method for the solution of nonlinear finite difference systems. (English) Zbl 1461.65229 Algorithms (Basel) 10, No. 3, Paper No. 88, 19 p. (2017). MSC: 65M06 39A14 65M22 PDFBibTeX XMLCite \textit{F. Mezzadri} and \textit{E. Galligani}, Algorithms (Basel) 10, No. 3, Paper No. 88, 19 p. (2017; Zbl 1461.65229) Full Text: DOI
Calgaro, Caterina; Goubet, Olivier; Zahrouni, Ezzeddine Finite-dimensional global attractor for a semi-discrete fractional nonlinear Schrödinger equation. (English) Zbl 1454.39016 Math. Methods Appl. Sci. 40, No. 15, 5563-5574 (2017). MSC: 39A12 35B41 35Q55 35R11 65M06 PDFBibTeX XMLCite \textit{C. Calgaro} et al., Math. Methods Appl. Sci. 40, No. 15, 5563--5574 (2017; Zbl 1454.39016) Full Text: DOI HAL
Duz, M. Solutions of complex equations with Adomian decomposition method. (English) Zbl 1375.35088 TWMS J. Appl. Eng. Math. 7, No. 1, 66-73 (2017). MSC: 35F46 39A45 35A25 PDFBibTeX XMLCite \textit{M. Duz}, TWMS J. Appl. Eng. Math. 7, No. 1, 66--73 (2017; Zbl 1375.35088)
Zhura, Nikolai A.; Soldatov, Alexandr P. A boundary-value problem for a first-order hyperbolic system in a two-dimensional domain. (English. Russian original) Zbl 1377.35195 Izv. Math. 81, No. 3, 542-567 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 3, 83-108 (2017). MSC: 35L50 39B42 47A10 47B33 PDFBibTeX XMLCite \textit{N. A. Zhura} and \textit{A. P. Soldatov}, Izv. Math. 81, No. 3, 542--567 (2017; Zbl 1377.35195); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 3, 83--108 (2017) Full Text: DOI
Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime. (English) Zbl 1370.81053 J. Sci. Comput. 71, No. 3, 1094-1134 (2017). MSC: 81Q05 65M06 39A12 65T50 94B65 81-08 PDFBibTeX XMLCite \textit{W. Bao} et al., J. Sci. Comput. 71, No. 3, 1094--1134 (2017; Zbl 1370.81053) Full Text: DOI arXiv
Mickens, Ronald E. The Imani Periodic Functions: Genesis and Preliminary Results. arXiv:1708.06630 Preprint, arXiv:1708.06630 [math.DS] (2017). MSC: 34K13 35K57 35K60 39A23 39B05 BibTeX Cite \textit{R. E. Mickens}, ``The Imani Periodic Functions: Genesis and Preliminary Results'', Preprint, arXiv:1708.06630 [math.DS] (2017) Full Text: arXiv OA License
Sayevand, K.; Arjang, F. Finite volume element method and its stability analysis for analyzing the behavior of sub-diffusion problems. (English) Zbl 1410.65344 Appl. Math. Comput. 290, 224-239 (2016). MSC: 65M08 39A10 82D10 PDFBibTeX XMLCite \textit{K. Sayevand} and \textit{F. Arjang}, Appl. Math. Comput. 290, 224--239 (2016; Zbl 1410.65344) Full Text: DOI
Ma, Heping; Yang, Yubo Jacobi spectral collocation method for the time variable-order fractional mobile-immobile advection-dispersion solute transport model. (English) Zbl 1499.65570 East Asian J. Appl. Math. 6, No. 3, 337-352 (2016). MSC: 65M70 26A33 15A99 39A70 33C45 35R11 86A05 35Q86 PDFBibTeX XMLCite \textit{H. Ma} and \textit{Y. Yang}, East Asian J. Appl. Math. 6, No. 3, 337--352 (2016; Zbl 1499.65570) Full Text: DOI
Abdoulkary, Saidou; English, L. Q.; Mohamadou, Alidou Envelope solitons in a left-handed nonlinear transmission line with Josephson junction. (English) Zbl 1358.35148 Chaos Solitons Fractals 85, 44-50 (2016). MSC: 35Q51 82D55 65M06 39A14 PDFBibTeX XMLCite \textit{S. Abdoulkary} et al., Chaos Solitons Fractals 85, 44--50 (2016; Zbl 1358.35148) Full Text: DOI
Hietarinta, J.; Joshi, N.; Nijhoff, F. W. Discrete systems and integrability. (English) Zbl 1362.37130 Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 978-1-107-66948-2/pbk; 978-1-107-04272-8/hbk; 978-1-107-33741-1/ebook). xiii, 445 p. (2016). Reviewer: Davide Masoero (Lisboa) MSC: 37K10 37-02 39A10 39A13 39A14 37J35 33E17 65M22 16T25 PDFBibTeX XMLCite \textit{J. Hietarinta} et al., Discrete systems and integrability. Cambridge: Cambridge University Press (2016; Zbl 1362.37130) Full Text: DOI
Tang, Wan; Huang, Jianguo; Li, Hao Numerical simulation of an electro-thermal model for superconducting nanowire single-photon detectors. (English) Zbl 1341.82104 J. Comput. Anal. Appl. 21, No. 1, 11-23 (2016). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35R35 65M06 39A14 PDFBibTeX XMLCite \textit{W. Tang} et al., J. Comput. Anal. Appl. 21, No. 1, 11--23 (2016; Zbl 1341.82104)
Ghaneai, H.; Hosseini, M. M. Variational iteration method with an auxiliary parameter for solving wave-like and heat-like equations in large domains. (English) Zbl 1443.65270 Comput. Math. Appl. 69, No. 5, 363-373 (2015). MSC: 65M99 39B12 PDFBibTeX XMLCite \textit{H. Ghaneai} and \textit{M. M. Hosseini}, Comput. Math. Appl. 69, No. 5, 363--373 (2015; Zbl 1443.65270) Full Text: DOI
Yildirim, Ozgur; Uzun, Meltem On third order stable difference scheme for hyperbolic multipoint nonlocal boundary value problem. (English) Zbl 1418.65110 Discrete Dyn. Nat. Soc. 2015, Article ID 121437, 16 p. (2015). MSC: 65M06 65M12 65J08 39A60 PDFBibTeX XMLCite \textit{O. Yildirim} and \textit{M. Uzun}, Discrete Dyn. Nat. Soc. 2015, Article ID 121437, 16 p. (2015; Zbl 1418.65110) Full Text: DOI
Chung, Soon-Yeong; Lee, Jae-Hwang Blow-up for discrete reaction-diffusion equations on networks. (English) Zbl 1390.35386 Appl. Anal. Discrete Math. 9, No. 1, 103-119 (2015). MSC: 35R02 35K57 34B45 35B44 35K20 39A12 PDFBibTeX XMLCite \textit{S.-Y. Chung} and \textit{J.-H. Lee}, Appl. Anal. Discrete Math. 9, No. 1, 103--119 (2015; Zbl 1390.35386) Full Text: DOI
Bokalo, Mykola; Ilnytska, Olga Initial-boundary value problems for coupled systems with variable time delay. (English) Zbl 1362.35153 Int. J. Evol. Equ. 10, No. 1, 1-19 (2015). MSC: 35K20 35K51 35K59 34K06 39B72 PDFBibTeX XMLCite \textit{M. Bokalo} and \textit{O. Ilnytska}, Int. J. Evol. Equ. 10, No. 1, 1--19 (2015; Zbl 1362.35153)
Alikhanov, Anatoly A. A new difference scheme for the time fractional diffusion equation. (English) Zbl 1349.65261 J. Comput. Phys. 280, 424-438 (2015). MSC: 65M06 35R11 39A60 65M12 PDFBibTeX XMLCite \textit{A. A. Alikhanov}, J. Comput. Phys. 280, 424--438 (2015; Zbl 1349.65261) Full Text: DOI arXiv
Jakeman, J. D.; Wildey, T. Enhancing adaptive sparse grid approximations and improving refinement strategies using adjoint-based a posteriori error estimates. (English) Zbl 1349.65422 J. Comput. Phys. 280, 54-71 (2015). MSC: 65M50 65Q10 39A14 65M60 PDFBibTeX XMLCite \textit{J. D. Jakeman} and \textit{T. Wildey}, J. Comput. Phys. 280, 54--71 (2015; Zbl 1349.65422) Full Text: DOI arXiv
Wang, Dongling; Xiao, Aiguo; Yang, Wei Maximum-norm error analysis of a difference scheme for the space fractional CNLS. (English) Zbl 1339.65137 Appl. Math. Comput. 257, 241-251 (2015). MSC: 65M06 35R11 39B12 65M12 65M15 68W25 PDFBibTeX XMLCite \textit{D. Wang} et al., Appl. Math. Comput. 257, 241--251 (2015; Zbl 1339.65137) Full Text: DOI
Krylov, N. V. On the rate of convergence of finite-difference approximations for elliptic Isaacs equations in smooth domains. (English) Zbl 1331.65122 Commun. Partial Differ. Equations 40, No. 8, 1393-1407 (2015). Reviewer: Christopher Goodrich (Omaha) MSC: 65M06 35J60 39A14 PDFBibTeX XMLCite \textit{N. V. Krylov}, Commun. Partial Differ. Equations 40, No. 8, 1393--1407 (2015; Zbl 1331.65122) Full Text: DOI arXiv
Asthana, Kartikey; Jameson, Antony High-order flux reconstruction schemes with minimal dispersion and dissipation. (English) Zbl 1329.65217 J. Sci. Comput. 62, No. 3, 913-944 (2015). MSC: 65M60 76M10 35L65 35P05 39A14 PDFBibTeX XMLCite \textit{K. Asthana} and \textit{A. Jameson}, J. Sci. Comput. 62, No. 3, 913--944 (2015; Zbl 1329.65217) Full Text: DOI
Grant, Timothy J. Bespoke finite difference schemes that preserve multiple conservation laws. (English) Zbl 1317.39014 LMS J. Comput. Math. 18, 372-403 (2015). MSC: 39A14 37K05 65M06 65P99 12Y99 65M12 PDFBibTeX XMLCite \textit{T. J. Grant}, LMS J. Comput. Math. 18, 372--403 (2015; Zbl 1317.39014) Full Text: DOI
Lin, Chin-Yuan An exponential function approach to parabolic equations. (English) Zbl 1307.35002 Series on Concrete and Applicable Mathematics 15. Hackensack, NJ: World Scientific (ISBN 978-981-4616-38-6/hbk; 978-981-4616-40-9/ebook). x, 163 p. (2015). Reviewer: Stephan Fackler (Ulm) MSC: 35-02 35-01 35K10 35J15 35K90 47J35 47D06 39A12 35K20 PDFBibTeX XMLCite \textit{C.-Y. Lin}, An exponential function approach to parabolic equations. Hackensack, NJ: World Scientific (2015; Zbl 1307.35002) Full Text: DOI
Casimiro, A. C.; Rodrigo, C. Symmetry-preserving discretization of variational field theories. arXiv:1509.08750 Preprint, arXiv:1509.08750 [math-ph] (2015). MSC: 39A12 49M25 65D05 65M22 74H15 76M10 BibTeX Cite \textit{A. C. Casimiro} and \textit{C. Rodrigo}, ``Symmetry-preserving discretization of variational field theories'', Preprint, arXiv:1509.08750 [math-ph] (2015) Full Text: arXiv OA License
Liu, Jie; Gong, Chunye; Bao, Weimin; Tang, Guojian; Jiang, Yuewen Solving the Caputo fractional reaction-diffusion equation on GPU. (English) Zbl 1422.65164 Discrete Dyn. Nat. Soc. 2014, Article ID 820162, 7 p. (2014). MSC: 65M06 35R11 39B52 PDFBibTeX XMLCite \textit{J. Liu} et al., Discrete Dyn. Nat. Soc. 2014, Article ID 820162, 7 p. (2014; Zbl 1422.65164) Full Text: DOI
Hafver, Andreas; Jettestuen, Espen; Feder, Jens; Meakin, Paul; Malthe-Sørenssen, Anders A node-splitting discrete element model for fluid-structure interaction. (English) Zbl 1395.76094 Physica A 416, 61-79 (2014). MSC: 76S05 74F10 76M10 74S05 34A33 39A60 65M60 PDFBibTeX XMLCite \textit{A. Hafver} et al., Physica A 416, 61--79 (2014; Zbl 1395.76094) Full Text: DOI
Vong, Seakweng; Wang, Zhibo A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions. (English) Zbl 1352.65273 J. Comput. Phys. 274, 268-282 (2014). MSC: 65M06 35R11 35L20 39A14 65M12 PDFBibTeX XMLCite \textit{S. Vong} and \textit{Z. Wang}, J. Comput. Phys. 274, 268--282 (2014; Zbl 1352.65273) Full Text: DOI
Zhao, Kaihong Global robust exponential synchronization of BAM recurrent FNNs with infinite distributed delays and diffusion terms on time scales. (English) Zbl 1344.68195 Adv. Difference Equ. 2014, Paper No. 317, 25 p. (2014). MSC: 68T05 35K51 39A10 92B20 93D15 PDFBibTeX XMLCite \textit{K. Zhao}, Adv. Difference Equ. 2014, Paper No. 317, 25 p. (2014; Zbl 1344.68195) Full Text: DOI
Yuldashev, T. K.; Dovgiy, M. A. Approximate computation of quality functional at the known controlling actions for quasilinear equations with partial differences of the first order. (Russian. English summary) Zbl 1340.65131 Zh. Sredn. Mat. Obshch. 16, No. 1, 145-151 (2014). Reviewer: Tatiana Mamedova (Saransk) MSC: 65K10 39A14 39A12 49J21 65M25 PDFBibTeX XMLCite \textit{T. K. Yuldashev} and \textit{M. A. Dovgiy}, Zh. Sredn. Mat. Obshch. 16, No. 1, 145--151 (2014; Zbl 1340.65131)
Macías-Díaz, J. E. A fast and unconditionally positive finite-difference discretization of a multidimensional equation in nonlinear population dynamics. (English) Zbl 1322.65115 J. Difference Equ. Appl. 20, No. 12, 1652-1666 (2014). MSC: 65Q10 65M06 39A14 92D25 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz}, J. Difference Equ. Appl. 20, No. 12, 1652--1666 (2014; Zbl 1322.65115) Full Text: DOI
Macías-Díaz, J. E. A positive finite-difference model in the computational simulation of complex biological film models. (English) Zbl 1319.92046 J. Difference Equ. Appl. 20, No. 4, 548-569 (2014). MSC: 92D25 65Q10 65M06 39A14 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz}, J. Difference Equ. Appl. 20, No. 4, 548--569 (2014; Zbl 1319.92046) Full Text: DOI
Lin, Jian Jhong; Huang, Shao Yuan; Cheng, Sui Sun Explicit periodic travelling waves for a discrete lambda-omega reaction-diffusion system. (English) Zbl 1310.39006 J. Difference Equ. Appl. 20, No. 9, 1289-1306 (2014). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A14 35C07 35K57 65M06 39A12 39A23 65Q10 PDFBibTeX XMLCite \textit{J. J. Lin} et al., J. Difference Equ. Appl. 20, No. 9, 1289--1306 (2014; Zbl 1310.39006) Full Text: DOI
Monsaingeon, Leonard An algorithm for one-dimensional Generalized Porous Medium Equations: interface tracking and the hole filling problem. arXiv:1410.1473 Preprint, arXiv:1410.1473 [math.AP] (2014). MSC: 35K65 35K65 39A12 65M06 BibTeX Cite \textit{L. Monsaingeon}, ``An algorithm for one-dimensional Generalized Porous Medium Equations: interface tracking and the hole filling problem'', Preprint, arXiv:1410.1473 [math.AP] (2014) Full Text: arXiv OA License
Ashyralyev, Allaberen; Cakir, Zafer FDM for fractional parabolic equations with the Neumann condition. (English) Zbl 1380.65142 Adv. Difference Equ. 2013, Paper No. 120, 16 p. (2013). MSC: 65M06 35R11 34A08 39A14 65M12 PDFBibTeX XMLCite \textit{A. Ashyralyev} and \textit{Z. Cakir}, Adv. Difference Equ. 2013, Paper No. 120, 16 p. (2013; Zbl 1380.65142) Full Text: DOI
Nordström, Jan; Lundquist, Tomas Summation-by-parts in time. (English) Zbl 1349.65399 J. Comput. Phys. 251, 487-499 (2013). MSC: 65M20 39A12 65B10 65L05 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{T. Lundquist}, J. Comput. Phys. 251, 487--499 (2013; Zbl 1349.65399) Full Text: DOI
Selitskii, A. M. Space of initial data for the second boundary-value problem for a parabolic differential-difference equation in Lipschitz domains. (English. Russian original) Zbl 1284.35213 Math. Notes 94, No. 3, 444-447 (2013); translation from Mat. Zametki 94, No. 3, 477-480 (2013). MSC: 35K20 35A01 39A12 35A02 PDFBibTeX XMLCite \textit{A. M. Selitskii}, Math. Notes 94, No. 3, 444--447 (2013; Zbl 1284.35213); translation from Mat. Zametki 94, No. 3, 477--480 (2013) Full Text: DOI
Kemm, Friedemann On the origin of divergence errors in MHD simulations and consequences for numerical schemes. (English) Zbl 1282.76199 Commun. Appl. Math. Comput. Sci. 8, No. 1, 1-38 (2013). MSC: 76W05 39A12 35L45 35L65 35L80 35N10 65M06 39A70 65Z05 PDFBibTeX XMLCite \textit{F. Kemm}, Commun. Appl. Math. Comput. Sci. 8, No. 1, 1--38 (2013; Zbl 1282.76199) Full Text: DOI
Skopenkov, M. The boundary value problem for discrete analytic functions. (English) Zbl 1278.39008 Adv. Math. 240, 61-87 (2013). MSC: 39A12 31C20 65M60 60J45 PDFBibTeX XMLCite \textit{M. Skopenkov}, Adv. Math. 240, 61--87 (2013; Zbl 1278.39008) Full Text: DOI arXiv
Calvez, Vincent; Corrias, Lucilla Blow-up dynamics of self-attracting diffusive particles driven by competing convexities. (English) Zbl 1288.35110 Discrete Contin. Dyn. Syst., Ser. B 18, No. 8, 2029-2050 (2013). Reviewer: Gabriela Marinoschi (Bucharest) MSC: 35B44 35D30 35Q92 92C17 35K51 35K58 39A12 PDFBibTeX XMLCite \textit{V. Calvez} and \textit{L. Corrias}, Discrete Contin. Dyn. Syst., Ser. B 18, No. 8, 2029--2050 (2013; Zbl 1288.35110) Full Text: DOI arXiv
Grillo, Gabriele; Muratori, Matteo; Porzio, Maria Michaela Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities. (English) Zbl 1277.35217 Discrete Contin. Dyn. Syst. 33, No. 8, 3599-3640 (2013). MSC: 35K65 35K55 35B40 39B62 35K20 PDFBibTeX XMLCite \textit{G. Grillo} et al., Discrete Contin. Dyn. Syst. 33, No. 8, 3599--3640 (2013; Zbl 1277.35217) Full Text: DOI arXiv
Comech, Andrew Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator. (English) Zbl 1277.39010 Discrete Contin. Dyn. Syst. 33, No. 7, 2711-2755 (2013). MSC: 39A12 35B40 35B41 35C08 37K40 37L30 65M06 65M12 65N06 81Q05 PDFBibTeX XMLCite \textit{A. Comech}, Discrete Contin. Dyn. Syst. 33, No. 7, 2711--2755 (2013; Zbl 1277.39010) Full Text: DOI arXiv
Dong, Hongjie; Krylov, N. V. On the existence of smooth solutions for fully nonlinear parabolic equations with measurable “coefficients” without convexity assumptions. (English) Zbl 1479.35526 Commun. Partial Differ. Equations 38, No. 4-6, 1038-1068 (2013). MSC: 35K55 35D30 35K20 39A12 35A01 PDFBibTeX XMLCite \textit{H. Dong} and \textit{N. V. Krylov}, Commun. Partial Differ. Equations 38, No. 4--6, 1038--1068 (2013; Zbl 1479.35526) Full Text: DOI arXiv
Murata, Mikio Tropical discretization: ultradiscrete Fisher-KPP equation and ultradiscrete Allen-Cahn equation. (English) Zbl 1278.39012 J. Difference Equ. Appl. 19, No. 6, 1008-1021 (2013). Reviewer: Fernando Casas (Castellon) MSC: 39A14 37L60 65M06 39A12 37K10 35K57 PDFBibTeX XMLCite \textit{M. Murata}, J. Difference Equ. Appl. 19, No. 6, 1008--1021 (2013; Zbl 1278.39012) Full Text: DOI
Stehlík, Petr; Volek, Jonáš Transport equation on semidiscrete domains and Poisson-Bernoulli processes. (English) Zbl 1264.35098 J. Difference Equ. Appl. 19, No. 3, 439-456 (2013). Reviewer: Ekaterina Balakina (Novosibirsk) MSC: 35F10 39A14 39A06 34N05 65M06 PDFBibTeX XMLCite \textit{P. Stehlík} and \textit{J. Volek}, J. Difference Equ. Appl. 19, No. 3, 439--456 (2013; Zbl 1264.35098) Full Text: DOI arXiv
Sakhnovich, Alexander L.; Sakhnovich, Lev A.; Roitberg, Inna Ya. Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions. (English) Zbl 1283.47003 de Gruyter Studies in Mathematics 47. Berlin: De Gruyter (ISBN 978-3-11-025860-8/hbk; 978-3-11-025861-5/ebook). xiii, 341 p. (2013). Reviewer: Josef Diblík (Brno) MSC: 47-02 47N20 47A48 34L40 34B20 35G61 35Q51 37K15 37K35 35F46 35A01 35A02 35Q41 39A12 93B28 65N21 65M32 PDFBibTeX XMLCite \textit{A. L. Sakhnovich} et al., Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions. Berlin: De Gruyter (2013; Zbl 1283.47003)
Ghasemi, Arash; Sreenivas, Kidambi; Taylor, Lafayette K. Numerical Stability and Catalan Numbers. arXiv:1309.4820 Preprint, arXiv:1309.4820 [math.NA] (2013). MSC: 65M12 65L20 39B82 34K20 35B35 BibTeX Cite \textit{A. Ghasemi} et al., ``Numerical Stability and Catalan Numbers'', Preprint, arXiv:1309.4820 [math.NA] (2013) Full Text: arXiv OA License
Selitskij, A. M. The space of initial data of the 3d boundary-value problem for a parabolic differential-difference equation in the one-dimensional case. (English. Russian original) Zbl 1270.35250 Math. Notes 92, No. 4, 580-584 (2012); translation from Mat. Zametki 92, No. 4, 636-640 (2012). Reviewer: Lutz Recke (Berlin) MSC: 35K20 39A99 47D06 46B70 PDFBibTeX XMLCite \textit{A. M. Selitskij}, Math. Notes 92, No. 4, 580--584 (2012; Zbl 1270.35250); translation from Mat. Zametki 92, No. 4, 636--640 (2012) Full Text: DOI
Khabir, Mohmed H. M.; Patidar, Kailash C. Spline approximation method to solve an option pricing problem. (English) Zbl 1254.91748 J. Difference Equ. Appl. 18, No. 11, 1801-1816 (2012). MSC: 91G60 91G20 39A05 65M06 65M12 PDFBibTeX XMLCite \textit{M. H. M. Khabir} and \textit{K. C. Patidar}, J. Difference Equ. Appl. 18, No. 11, 1801--1816 (2012; Zbl 1254.91748) Full Text: DOI