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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
Hataue, Itaru On the structural stability of discretized Burgers equation with randomness. (English) Zbl 1243.39005 Information 14, No. 8, 2585-2598 (2011). MSC: 39A12 39A28 35K20 35K59 35Q53 65M06 PDFBibTeX XMLCite \textit{I. Hataue}, Information 14, No. 8, 2585--2598 (2011; Zbl 1243.39005)
Boyer, Franck; Hubert, Florence; Le Rousseau, Jérôme Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications. (English) Zbl 1216.65112 SIAM J. Control Optim. 48, No. 8, 5357-5397 (2010). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 65M15 35K05 65M06 93B05 39A70 93B07 93B40 65M12 PDFBibTeX XMLCite \textit{F. Boyer} et al., SIAM J. Control Optim. 48, No. 8, 5357--5397 (2010; Zbl 1216.65112) Full Text: DOI
Netka, Milena Differential difference inequalities related to parabolic functional differential equations. (English) Zbl 1194.35487 Opusc. Math. 30, No. 1, 95-115 (2010). MSC: 35R10 35K20 65N40 39A14 65N22 65N12 PDFBibTeX XMLCite \textit{M. Netka}, Opusc. Math. 30, No. 1, 95--115 (2010; Zbl 1194.35487) Full Text: DOI
Marinoschi, Gabriela Well posedness of a time-difference scheme for a degenerate fast diffusion problem. (English) Zbl 1188.35009 Discrete Contin. Dyn. Syst., Ser. B 13, No. 2, 435-454 (2010). MSC: 35A35 35K65 65M12 76S05 39A12 PDFBibTeX XMLCite \textit{G. Marinoschi}, Discrete Contin. Dyn. Syst., Ser. B 13, No. 2, 435--454 (2010; Zbl 1188.35009) Full Text: DOI
Company, Rafael; Jódar, Lucas; Pintos, José-Ramón Consistent stable difference schemes for nonlinear Black-Scholes equations modelling option pricing with transaction costs. (English) Zbl 1175.91071 ESAIM, Math. Model. Numer. Anal. 43, No. 6, 1045-1061 (2009). MSC: 91B25 91G20 35K55 65M12 39A10 PDFBibTeX XMLCite \textit{R. Company} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 6, 1045--1061 (2009; Zbl 1175.91071) Full Text: DOI EuDML
Byszewski, Ludwik Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals. (English) Zbl 1183.35071 Opusc. Math. 29, No. 1, 15-25 (2009). MSC: 35B50 35R45 35K20 35R10 39A12 PDFBibTeX XMLCite \textit{L. Byszewski}, Opusc. Math. 29, No. 1, 15--25 (2009; Zbl 1183.35071) Full Text: DOI
Vaganova, N. A. Existence of a solution of an initial-boundary value difference problem for a linear heat equation with a nonlinear boundary condition. (English. Russian original) Zbl 1235.35177 Proc. Steklov Inst. Math. 261, Suppl. 1, S260-S271 (2008); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 1 (2008). MSC: 35K60 35A35 39A12 65M06 PDFBibTeX XMLCite \textit{N. A. Vaganova}, Proc. Steklov Inst. Math. 261, S260--S271 (2008; Zbl 1235.35177); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 1 (2008) Full Text: DOI
Assalé, Louis A.; Boni, Théodore K.; Nabongo, Diabate Numerical blow-up time for a semilinear parabolic equation with nonlinear boundary conditions. (English) Zbl 1179.35168 J. Appl. Math. 2008, Article ID 753518, 29 p. (2008). MSC: 35K58 35B44 35K20 35A35 39A12 PDFBibTeX XMLCite \textit{L. A. Assalé} et al., J. Appl. Math. 2008, Article ID 753518, 29 p. (2008; Zbl 1179.35168) Full Text: DOI EuDML
Dolbeault, J.; Nazaret, B.; Savaré, G. On the Bakry-Emery criterion for linear diffusions and weighted porous media equations. (English) Zbl 1149.35330 Commun. Math. Sci. 6, No. 2, 477-494 (2008). MSC: 35B45 35B40 35K55 39B62 35J10 35K20 35K65 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Commun. Math. Sci. 6, No. 2, 477--494 (2008; Zbl 1149.35330) Full Text: DOI arXiv Euclid
Wang, Baohua A long-time behavior of the difference solutions of semi-linear parabolic equations. (Chinese. English summary) Zbl 1097.35033 J. Nat. Sci. Heilongjiang Univ. 22, No. 6, 837-841 (2005). MSC: 35B40 35K60 39A12 35A35 PDFBibTeX XMLCite \textit{B. Wang}, J. Nat. Sci. Heilongjiang Univ. 22, No. 6, 837--841 (2005; Zbl 1097.35033)
Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte Numerical blow up for the \(p\)-Laplacian equation with a source. (English) Zbl 1072.35041 Comput. Methods Appl. Math. 5, No. 2, 137-154 (2005). MSC: 35B40 65M12 39A12 35K60 PDFBibTeX XMLCite \textit{R. Ferreira} et al., Comput. Methods Appl. Math. 5, No. 2, 137--154 (2005; Zbl 1072.35041) Full Text: DOI
Ciarski, Roman Stability of difference equations generated by parabolic differential functional equations. (English) Zbl 1073.65087 Demonstr. Math. 38, No. 1, 101-117 (2005). Reviewer: Nguyen Van Minh (Carrollton) MSC: 65M12 65M06 35K55 35R10 39A11 PDFBibTeX XMLCite \textit{R. Ciarski}, Demonstr. Math. 38, No. 1, 101--117 (2005; Zbl 1073.65087) Full Text: DOI
Ashyralyev, A.; Karatay, I.; Sobolevskii, P. E. On well-posedness of the nonlocal boundary value problem for parabolic difference equations. (English) Zbl 1077.39015 Discrete Dyn. Nat. Soc. 2004, No. 2, 273-286 (2004). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 39A12 39A10 47B39 65M06 65M12 34G10 PDFBibTeX XMLCite \textit{A. Ashyralyev} et al., Discrete Dyn. Nat. Soc. 2004, No. 2, 273--286 (2004; Zbl 1077.39015) Full Text: DOI EuDML
Messaoudi, Salim A. Local existence and blow up in a semilinear heat equation with the Bessel operator. (English) Zbl 1031.35081 Nonlinear Stud. 10, No. 1, 59-66 (2003). MSC: 35K65 35K60 39A99 PDFBibTeX XMLCite \textit{S. A. Messaoudi}, Nonlinear Stud. 10, No. 1, 59--66 (2003; Zbl 1031.35081)
Mickens, Ronald E. Nonstandard finite difference schemes for differential equations. (English) Zbl 1010.65032 J. Difference Equ. Appl. 8, No. 9, 823-847 (2002). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L12 34B15 35K15 65M06 39A12 PDFBibTeX XMLCite \textit{R. E. Mickens}, J. Difference Equ. Appl. 8, No. 9, 823--847 (2002; Zbl 1010.65032)
Skubachevskii, A. L.; Shamin, R. V. The mixed boundary value problem for parabolic differential-difference equation. (English) Zbl 1054.35119 Funct. Differ. Equ. 8, No. 3-4, 407-424 (2001). MSC: 35R10 35K20 39A70 PDFBibTeX XMLCite \textit{A. L. Skubachevskii} and \textit{R. V. Shamin}, Funct. Differ. Equ. 8, No. 3--4, 407--424 (2001; Zbl 1054.35119)
Hoshino, Keisuke; Kikuchi, Norio Reverse Hölder inequality for functions with discrete-time variable. (English) Zbl 0949.26010 Dyn. Contin. Discrete Impulsive Syst. 6, No. 4, 503-517 (1999). Reviewer: M.Fuchs (Saarbrücken) MSC: 26D15 35K20 39A10 49J40 PDFBibTeX XMLCite \textit{K. Hoshino} and \textit{N. Kikuchi}, Dyn. Contin. Discrete Impulsive Syst. 6, No. 4, 503--517 (1999; Zbl 0949.26010)
Hoffmann, Tim Discrete Amsler surfaces and a discrete Painlevé III equation. (English) Zbl 0944.53006 Bobenko, Alexander I. (ed.) et al., Discrete integrable geometry and physics. Based on the conference on condensed matter physics and discrete geometry, Vienna, Austria, February 1996. Oxford: Clarendon Press. Oxf. Lect. Ser. Math. Appl. 16, 83-96 (1999). Reviewer: Thomas Ivey (Charleston) MSC: 53A10 35K35 35Q53 39A10 PDFBibTeX XMLCite \textit{T. Hoffmann}, Oxf. Lect. Ser. Math. Appl. 16, 83--96 (1999; Zbl 0944.53006)
Abia Llera, L. M.; López Marcos, J. C.; Martínez Rodriguez, J. Blow-up in semidiscretizations of reaction-diffusion models. (Spanish) Zbl 0940.35110 Proceedings of the 15th congress on differential equations and applications and congress on applied mathematics, Vigo, Spain, September 23-26, 1997. Vols. I and II. Vigo: Servicio de Publicacións da Universidade de Vigo. Colecc. Congr. 9, 365-370 (1998). Reviewer: Eduardo Liz (Vigo) MSC: 35K57 65M99 35A35 39A12 PDFBibTeX XMLCite \textit{L. M. Abia Llera} et al., in: XV Congreso de ecuaciones diferenciales y aplicaciones y congreso de matemática aplicada, Vigo, España, 23--26 Septiembre 1997. Volumen I e II. Vigo: Servicio de Publicacións da Universidade de Vigo. 365--370 (1998; Zbl 0940.35110)
Guidetti, Davide; Piskarev, Sergei Stability of Rothe’s scheme and maximal regularity for parabolic equations in \(C^\theta(\bar\Omega)\). (English) Zbl 0917.35006 Amann, H. (ed.) et al., Progress in partial differential equations. Papers from the 3rd European conference on elliptic and parabolic problems, Pont-à-Mousson, France, June 1997. Vol. 1. Harlow: Longman. Pitman Res. Notes Math. Ser. 383, 167-180 (1998). Reviewer: Maria A.Ragusa (Catania) MSC: 35A35 65M06 35K20 39A12 PDFBibTeX XMLCite \textit{D. Guidetti} and \textit{S. Piskarev}, Pitman Res. Notes Math. Ser. 383, 167--180 (1998; Zbl 0917.35006)
Galaktionov, Victor A. On invariant subspaces for nonlinear finite-difference operators. (English) Zbl 0920.35073 Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 6, 1293-1308 (1998). Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 35K55 39A10 39A70 65M06 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 6, 1293--1308 (1998; Zbl 0920.35073) Full Text: DOI
Shishkin, G. I. Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions. (English. Russian original) Zbl 0940.35104 Comput. Math. Math. Phys. 37, No. 4, 417-434 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 4, 429-446 (1997). Reviewer: Alexey A.Tretiakov (Siedlce) MSC: 35K20 39A10 35B25 65N12 35R05 PDFBibTeX XMLCite \textit{G. I. Shishkin}, Comput. Math. Math. Phys. 37, No. 4, 429--446 (1997; Zbl 0940.35104); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 4, 429--446 (1997)
Anastassiou, George A.; Bendikov, Alexander D. A discrete analog of Kac’s formula and optimal approximation of the solution of the heat equation. (English) Zbl 0898.35041 Indian J. Pure Appl. Math. 28, No. 10, 1367-1389 (1997). MSC: 35K20 39A12 35A35 35C05 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{A. D. Bendikov}, Indian J. Pure Appl. Math. 28, No. 10, 1367--1389 (1997; Zbl 0898.35041)
Fichmann, Luiz A compact dissipative dynamical system for a difference equation with diffusion. (English) Zbl 0890.39005 J. Differ. Equations 138, No. 1, 1-18 (1997). Reviewer: A.D.Mednykh (Novosibirsk) MSC: 39A10 35K20 PDFBibTeX XMLCite \textit{L. Fichmann}, J. Differ. Equations 138, No. 1, 1--18 (1997; Zbl 0890.39005) Full Text: DOI
Xie, Shengli; Cheng, Sui Sun Stability criteria for parabolic type partial difference equations. (English) Zbl 0866.65056 J. Comput. Appl. Math. 75, No. 1, 57-66 (1996). Reviewer: Michael Sever (Jerusalem) MSC: 65M12 35K57 65M06 39A11 PDFBibTeX XMLCite \textit{S. Xie} and \textit{S. S. Cheng}, J. Comput. Appl. Math. 75, No. 1, 57--66 (1996; Zbl 0866.65056) Full Text: DOI
Kuo, Hung-Ju; Trudinger, Neil S. Local estimates for parabolic difference operators. (English) Zbl 0846.39007 J. Differ. Equations 122, No. 2, 398-413 (1995). Reviewer: E.Thandapani (Salem) MSC: 39A70 35K55 65M12 65M06 PDFBibTeX XMLCite \textit{H.-J. Kuo} and \textit{N. S. Trudinger}, J. Differ. Equations 122, No. 2, 398--413 (1995; Zbl 0846.39007) Full Text: DOI
Gürlebeck, K.; Hommel, A. On fundamental solutions of the heat conduction difference operator. (English) Zbl 0814.31007 Z. Anal. Anwend. 13, No. 3, 425-441 (1994). Reviewer: V.Anandam (Riyadh) MSC: 31C20 39A12 65M06 PDFBibTeX XMLCite \textit{K. Gürlebeck} and \textit{A. Hommel}, Z. Anal. Anwend. 13, No. 3, 425--441 (1994; Zbl 0814.31007) Full Text: DOI
Kuo, Hung-Ju; Trudinger, N. S. On the discrete maximum principle for parabolic difference operators. (English) Zbl 0787.65059 RAIRO, Modélisation Math. Anal. Numér. 27, No. 6, 719-737 (1993). Reviewer: J.Albrycht (Poznań) MSC: 65M06 39A10 35K15 PDFBibTeX XMLCite \textit{H.-J. Kuo} and \textit{N. S. Trudinger}, RAIRO, Modélisation Math. Anal. Numér. 27, No. 6, 719--737 (1993; Zbl 0787.65059) Full Text: DOI EuDML
Suzuki, Kazumasa Initial-boundary value problem for some quasilinear parabolic equations which can be degenerate with respect to independent variables. Existence and uniqueness of solutions. (English) Zbl 0900.35205 Bull. Fukuoka Univ. Educ., Part III 42, 3-11 (1993). MSC: 35K65 35D05 35K60 39A12 PDFBibTeX XMLCite \textit{K. Suzuki}, Bull. Fukuoka Univ. Educ., Part III 42, 3--11 (1993; Zbl 0900.35205)
Godunov, S. K.; Ryaben’kij, V. S. Difference schemes. An introduction to the underlying theory. Transl. from the Russian by E. M. Gelbard. (English) Zbl 0614.65096 Studies in Mathematics and its Applications, Vol. 19. Amsterdam etc.: North-Holland. XVII, 489 p.; $ 77.75; Dfl. 175.00 (1987). Reviewer: J.M.Sanz-Serna MSC: 65M06 65N06 39-01 65-01 39A10 65L10 65M12 65N12 65N22 65F10 34B05 34B15 35J25 35K20 35L60 PDFBibTeX XML
Malec, Marian; Rosati, Mario Inégalités faibles aux différences finies à un réseau non uniforme pour les équations différentielles fonctionnelles non linéaires du type parabolique et leurs applications. (French) Zbl 0586.65069 Quad., Ser. III, Ist. Appl. Calcolo 156, 26 p. (1983). MSC: 65N12 39A11 35K60 39A10 PDFBibTeX XML
Marchuk, G. I.; Shaidurov, V. V. Difference methods and their extrapolations. Transl. from the Russian. (English) Zbl 0511.65076 Applications of Mathematics, 19. New York etc.: Springer-Verlag. X, 334 p. DM 148.00; $ 58.80 (1983). MSC: 65N22 65-02 65N12 35J25 35K20 65F10 65Lxx 65M12 39A10 PDFBibTeX XML
Smirnova, E. L. On invertibility and stability of difference operators with variable coefficients. (English) Zbl 0492.65052 Vestn. Leningr. Univ., Math. 10, 209-215 (1982). MSC: 65M12 39A11 39A70 47B39 65J05 35K15 PDFBibTeX XMLCite \textit{E. L. Smirnova}, Vestn. Leningr. Univ., Math. 10, 209--215 (1982; Zbl 0492.65052)
Lavrent’ev, M. M. Properties of approximate solutions of nonlinear equations of variable type. (English) Zbl 0467.35062 Sib. Math. J. 21, 874-882 (1981). MSC: 35K60 35B45 65N30 35M99 35A35 39A10 PDFBibTeX XMLCite \textit{M. M. Lavrent'ev}, Sib. Math. J. 21, 874--882 (1981; Zbl 0467.35062) Full Text: DOI EuDML
Lavrent’ev, M. M. On properties of approximate solutions of non-linear equations of variable type. (Russian) Zbl 0457.35045 Sib. Mat. Zh. 21, No. 6, 165-175 (1980). MSC: 35K60 35M99 35A35 39A10 PDFBibTeX XMLCite \textit{M. M. Lavrent'ev}, Sib. Mat. Zh. 21, No. 6, 165--175 (1980; Zbl 0457.35045) Full Text: EuDML
Zlotnik, A. A. Estimating the rate of convergence of one projection-difference scheme for a one-dimensional nonstationary diffusion equation. (English. Russian original) Zbl 0434.35052 Mosc. Univ. Comput. Math. Cybern. 1979, No. 1, 58-62 (1979); translation from Vestn. Mosk. Univ., Ser. XV 1979, No. 1, 58-61 (1979). MSC: 35K15 35K20 39A70 35A05 PDFBibTeX XMLCite \textit{A. A. Zlotnik}, Mosc. Univ. Comput. Math. Cybern. 1979, No. 1, 58--62 (1979; Zbl 0434.35052); translation from Vestn. Mosk. Univ., Ser. XV 1979, No. 1, 58--61 (1979)
Kuznetsov, N. N.; Voloshin, S. A. On the stability of a class of implicit finite-difference schemes. (English. Russian original) Zbl 0421.65057 Sov. Math., Dokl. 19, 1135-1139 (1978); translation from Dokl. Akad. Nauk SSSR 242, 525-528 (1978). MSC: 65M12 35G10 35K25 65Q05 39A11 PDFBibTeX XMLCite \textit{N. N. Kuznetsov} and \textit{S. A. Voloshin}, Sov. Math., Dokl. 19, 1135--1139 (1978; Zbl 0421.65057); translation from Dokl. Akad. Nauk SSSR 242, 525--528 (1978)
Jain, M. K.; Iyengar, S. R. K.; Lone, A. G. Higher order difference formulas for a fourth order parabolic partial differential equation. (English) Zbl 0345.65047 Int. J. Numer. Methods Eng. 10, 1357-1367 (1976). MSC: 65M06 39A10 35K25 PDFBibTeX XMLCite \textit{M. K. Jain} et al., Int. J. Numer. Methods Eng. 10, 1357--1367 (1976; Zbl 0345.65047) Full Text: DOI
Ghelardoni, G. Alcune considerazioni sull’approssimazione della soluzione dell’equazione del calore. (Italian) Zbl 0316.35044 Boll. Unione Mat. Ital., IV. Ser. 11, Suppl. Fasc. 3, 403-412 (1975). MSC: 35K05 35K20 35A35 39B42 PDFBibTeX XMLCite \textit{G. Ghelardoni}, Boll. Unione Mat. Ital., IV. Ser. 11, 403--412 (1975; Zbl 0316.35044)
Cavendish, J. C.; Hall, C. A. \(L_\infty\)-convergence of collocation and Galerkin approximations to linear two-point parabolic problems. (English) Zbl 0301.65064 Aequationes Math. 11, 230-249 (1974). MSC: 65N30 65N35 35K20 65M20 39B42 PDFBibTeX XMLCite \textit{J. C. Cavendish} and \textit{C. A. Hall}, Aequationes Math. 11, 230--249 (1974; Zbl 0301.65064) Full Text: DOI EuDML
Buzbee, B. L.; Carasso, Alfred On the numerical computation of parabolic problems for preceding times. (English) Zbl 0293.65078 Math. Comput. 27, 237-266 (1973). MSC: 65M30 35R25 34G99 65M15 65M20 35K35 35A35 39B52 PDFBibTeX XMLCite \textit{B. L. Buzbee} and \textit{A. Carasso}, Math. Comput. 27, 237--266 (1973; Zbl 0293.65078) Full Text: DOI
Dressel, Francis G.; Gergen, J. J.; Parrish, G. B. The truncation error for the case of steady state temperature in a finite cylinder. (English) Zbl 0259.35041 Trans. sixteenth Conf. Army Math. 1970, U.S. Army Res. Office - Durham Rep. No. 71-2, 687-698 (1971). MSC: 35K05 35K20 39A10 PDFBibTeX XML