Popov, S. P. Perturbed soliton solutions of the sine-Gordon equation. (Russian. English summary) Zbl 07818357 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 12, 2182-2188 (2009); translation in Comput. Math. Math. Phys. 49, No. 12, 2085-2091 (2009). MSC: 81Q05 PDFBibTeX XMLCite \textit{S. P. Popov}, Zh. Vychisl. Mat. Mat. Fiz. 49, No. 12, 2182--2188 (2009; Zbl 07818357); translation in Comput. Math. Math. Phys. 49, No. 12, 2085--2091 (2009) Full Text: DOI MNR
Krizek, Michal Does a gravitational aberration contribute to the accelerated expansion of the Universe? (English) Zbl 1364.83065 Commun. Comput. Phys. 5, No. 5, 1030-1044 (2009). MSC: 83F05 PDFBibTeX XMLCite \textit{M. Krizek}, Commun. Comput. Phys. 5, No. 5, 1030--1044 (2009; Zbl 1364.83065)
Lee, Hung-Chang; Liu, Chein-Shan The fourth-order group preserving methods for the integrations of ordinary differential equations. (English) Zbl 1357.65088 CMES, Comput. Model. Eng. Sci. 41, No. 1, 1-26 (2009). MSC: 65L05 65P10 PDFBibTeX XMLCite \textit{H.-C. Lee} and \textit{C.-S. Liu}, CMES, Comput. Model. Eng. Sci. 41, No. 1, 1--26 (2009; Zbl 1357.65088) Full Text: DOI
Korobitsyn, V. V.; Frolova, Yu. V. Method of the inverse function for the solution of an autonomous ordinary differential equation. One-dimensional case. (Russian. English summary) Zbl 1265.65129 Mat. Strukt. Model. 19, 19-27 (2009). MSC: 65L05 65L70 65Y05 34A34 65L06 PDFBibTeX XMLCite \textit{V. V. Korobitsyn} and \textit{Yu. V. Frolova}, Mat. Strukt. Model. 19, 19--27 (2009; Zbl 1265.65129) Full Text: Link
Iwatsu, Reima Two new solutions to the third-order symplectic integration method. (English) Zbl 1233.70005 Phys. Lett., A 373, No. 34, 3056-3060 (2009). MSC: 70H05 37M15 65P10 65L06 PDFBibTeX XMLCite \textit{R. Iwatsu}, Phys. Lett., A 373, No. 34, 3056--3060 (2009; Zbl 1233.70005) Full Text: DOI
Khanal, Harihar; Mancas, Stefan C. Numerical simulations of snake dissipative solitons in complex cubic-quintic Ginzburg-Landau equation. (English) Zbl 1229.35282 Adv. Appl. Fluid Mech. 5, No. 2, 197-218 (2009). MSC: 35Q56 35C08 35A15 35Q55 37K05 65M20 65L06 PDFBibTeX XMLCite \textit{H. Khanal} and \textit{S. C. Mancas}, Adv. Appl. Fluid Mech. 5, No. 2, 197--218 (2009; Zbl 1229.35282) Full Text: arXiv Link
Alomari, A. K.; Noorani, M. S. M.; Nazar, R. Adaptation of homotopy analysis method for the numeric-analytic solution of Chen system. (English) Zbl 1221.65192 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2336-2346 (2009). MSC: 65L99 37N30 PDFBibTeX XMLCite \textit{A. K. Alomari} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2336--2346 (2009; Zbl 1221.65192) Full Text: DOI
Zhang, De-quan; Ye, Xian-feng One-dimensional WENO schemes and the applications in the numerical calculations of the scalar conservation equations. (Chinese. English summary) Zbl 1223.65071 J. Xinyang Norm. Univ., Nat. Sci. 22, No. 4, 510-513 (2009). MSC: 65M06 65L06 35L65 PDFBibTeX XMLCite \textit{D.-q. Zhang} and \textit{X.-f. Ye}, J. Xinyang Norm. Univ., Nat. Sci. 22, No. 4, 510--513 (2009; Zbl 1223.65071) Full Text: DOI
Kumaresan, N.; Balasubramaniam, P. Optimal control for stochastic linear quadratic singular system using neural networks. (English) Zbl 1215.93152 J. Process Control 19, No. 3, 482-488 (2009). MSC: 93E20 49K45 92B20 65K10 PDFBibTeX XMLCite \textit{N. Kumaresan} and \textit{P. Balasubramaniam}, J. Process Control 19, No. 3, 482--488 (2009; Zbl 1215.93152) Full Text: DOI
Zahri, M. Stochastic diffusion problems: comparison between Euler-Maruyama and Runge-Kutta schemes. (English) Zbl 1220.65008 J. Numer. Math. Stoch. 1, No. 1, 65-76 (2009). MSC: 65C30 60H15 60H35 35R60 65M20 PDFBibTeX XMLCite \textit{M. Zahri}, J. Numer. Math. Stoch. 1, No. 1, 65--76 (2009; Zbl 1220.65008)
Pop, Daniel N. Error bound for the solution of a polylocal problem with a combined method. (English) Zbl 1224.65193 Stud. Univ. Babeș-Bolyai, Math. 54, No. 4, 115-123 (2009). MSC: 65L70 65L10 65L06 65L60 34B05 65D07 PDFBibTeX XMLCite \textit{D. N. Pop}, Stud. Univ. Babeș-Bolyai, Math. 54, No. 4, 115--123 (2009; Zbl 1224.65193)
Tian, Qiang; Zhao, Guozhong Sixth-order central-difference schemes for convection equations. (Chinese. English summary) Zbl 1224.65210 J. Liaoning Norm. Univ., Nat. Sci. 32, No. 2, 147-150 (2009). MSC: 65M06 35K20 PDFBibTeX XMLCite \textit{Q. Tian} and \textit{G. Zhao}, J. Liaoning Norm. Univ., Nat. Sci. 32, No. 2, 147--150 (2009; Zbl 1224.65210)
Celledoni, Elena; Kometa, Bawfeh Kingsley Semi-Lagrangian Runge-Kutta exponential integrators for convection dominated problems. (English) Zbl 1203.65165 J. Sci. Comput. 41, No. 1, 139-164 (2009). MSC: 65M20 65L06 PDFBibTeX XMLCite \textit{E. Celledoni} and \textit{B. K. Kometa}, J. Sci. Comput. 41, No. 1, 139--164 (2009; Zbl 1203.65165) Full Text: DOI
Zhu, Jun; Qiu, Jianxian Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes. (English) Zbl 1203.65156 J. Sci. Comput. 39, No. 2, 293-321 (2009). MSC: 65M06 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{J. Qiu}, J. Sci. Comput. 39, No. 2, 293--321 (2009; Zbl 1203.65156) Full Text: DOI
Higueras, Inmaculada Characterizing strong stability preserving additive Runge-Kutta methods. (English) Zbl 1203.65109 J. Sci. Comput. 39, No. 1, 115-128 (2009). MSC: 65L06 65M20 PDFBibTeX XMLCite \textit{I. Higueras}, J. Sci. Comput. 39, No. 1, 115--128 (2009; Zbl 1203.65109) Full Text: DOI
Hundsdorfer, W.; Mozartova, A.; Spijker, M. N. Stepsize conditions for boundedness in numerical initial value problems. (English) Zbl 1209.65074 SIAM J. Numer. Anal. 47, No. 5, 3797-3819 (2009). Reviewer: Tomas Vejchodsky (Praha) MSC: 65L06 65L05 65L20 65M20 34A34 PDFBibTeX XMLCite \textit{W. Hundsdorfer} et al., SIAM J. Numer. Anal. 47, No. 5, 3797--3819 (2009; Zbl 1209.65074) Full Text: DOI Link
Liu, Xueyong Dissipativity of linear \(\theta\)-method for Volterra functional differential equations. (Chinese. English summary) Zbl 1212.65302 J. Lanzhou Univ. Technol. 35, No. 5, 160-162 (2009). MSC: 65L20 65L06 65L03 34K28 65L12 PDFBibTeX XMLCite \textit{X. Liu}, J. Lanzhou Univ. Technol. 35, No. 5, 160--162 (2009; Zbl 1212.65302)
Chen, Quanfa; Feng, Guang; Fu, Yao A predictor-corrector method for a class of initial value problems of fractional ordinary differential equations. (Chinese. English summary) Zbl 1212.65275 Math. Numer. Sin. 31, No. 4, 435-448 (2009). MSC: 65L06 65L05 34A08 34A34 65L70 65L20 PDFBibTeX XMLCite \textit{Q. Chen} et al., Math. Numer. Sin. 31, No. 4, 435--448 (2009; Zbl 1212.65275)
Crouseilles, Nicolas; Respaud, Thomas; Sonnendrücker, Eric A forward semi-Lagrangian method for the numerical solution of the Vlasov equation. (English) Zbl 1197.82012 Comput. Phys. Commun. 180, No. 10, 1730-1745 (2009). MSC: 82-04 65L06 76X05 76M10 35Q83 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., Comput. Phys. Commun. 180, No. 10, 1730--1745 (2009; Zbl 1197.82012) Full Text: DOI arXiv
Batiha, B. Numerical solution of a class of singular second-order IVPs by variational iteration method. (English) Zbl 1198.65111 Int. J. Math. Anal., Ruse 3, No. 37-40, 1953-1968 (2009). MSC: 65L05 34A34 65L06 PDFBibTeX XMLCite \textit{B. Batiha}, Int. J. Math. Anal., Ruse 3, No. 37--40, 1953--1968 (2009; Zbl 1198.65111) Full Text: Link
Rößler, Andreas Second order Runge-Kutta methods for Itô stochastic differential equations. (English) Zbl 1193.65006 SIAM J. Numer. Anal. 47, No. 3, 1713-1738 (2009). MSC: 65C30 60H10 60H35 34F05 65L06 65L20 PDFBibTeX XMLCite \textit{A. Rößler}, SIAM J. Numer. Anal. 47, No. 3, 1713--1738 (2009; Zbl 1193.65006) Full Text: DOI
Zhan, Yongqiang; Sun, Liying An improved Hamming predictor-corrector iterate algorithm. (Chinese. English summary) Zbl 1212.65282 J. Guangdong Educ. Inst. 29, No. 3, 40-43 (2009). MSC: 65L06 65L05 34A34 65L70 PDFBibTeX XMLCite \textit{Y. Zhan} and \textit{L. Sun}, J. Guangdong Educ. Inst. 29, No. 3, 40--43 (2009; Zbl 1212.65282)
Yang, Wei; Lin, Jing Quasi-wavelet solutions of a non-monotone conservation law for dune questions. (Chinese. English summary) Zbl 1212.35438 J. Hefei Univ. Technol., Nat. Sci. 32, No. 6, 920-923 (2009). MSC: 35Q53 42C40 65N38 PDFBibTeX XMLCite \textit{W. Yang} and \textit{J. Lin}, J. Hefei Univ. Technol., Nat. Sci. 32, No. 6, 920--923 (2009; Zbl 1212.35438)
Xu, Song; Hou, Xiaorong The complete construction of fourth order symplectic explicit R-K-N methods of three stages. (Chinese. English summary) Zbl 1212.65281 J. Syst. Sci. Math. Sci. 29, No. 9, 1211-1221 (2009). MSC: 65L06 65P10 34A34 37M15 65L05 70F05 PDFBibTeX XMLCite \textit{S. Xu} and \textit{X. Hou}, J. Syst. Sci. Math. Sci. 29, No. 9, 1211--1221 (2009; Zbl 1212.65281)
Fu, Minghui; Liang, Huali An improved precise Runge-Kutta integration. (Chinese. English summary) Zbl 1212.65276 Acta Sci. Nat. Univ. Sunyatseni 48, No. 5, 1-5 (2009). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{M. Fu} and \textit{H. Liang}, Acta Sci. Nat. Univ. Sunyatseni 48, No. 5, 1--5 (2009; Zbl 1212.65276)
Li, Changpin; Tao, Chunxing On the fractional Adams method. (English) Zbl 1189.65142 Comput. Math. Appl. 58, No. 8, 1573-1588 (2009). MSC: 65L06 26A33 34A08 44A15 45J05 PDFBibTeX XMLCite \textit{C. Li} and \textit{C. Tao}, Comput. Math. Appl. 58, No. 8, 1573--1588 (2009; Zbl 1189.65142) Full Text: DOI
Boscarino, Sebastiano; Russo, Giovanni On a class of uniformly accurate IMEX Runge-Kutta schemes and applications to hyperbolic systems with relaxation. (English) Zbl 1193.65162 SIAM J. Sci. Comput. 31, No. 3, 1926-1945 (2009). Reviewer: Qin Mengzhao (Beijing) MSC: 65M20 65L06 35L40 PDFBibTeX XMLCite \textit{S. Boscarino} and \textit{G. Russo}, SIAM J. Sci. Comput. 31, No. 3, 1926--1945 (2009; Zbl 1193.65162) Full Text: DOI arXiv
Jackiewicz, Zdzisław General linear methods for ordinary differential equations. (English) Zbl 1211.65095 Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-40855-1/hbk; 978-0-470-52216-5/ebook). xv, 482 p. (2009). Reviewer: R. K. Mohanty (Delhi) MSC: 65L06 34-01 65-02 34A34 65L05 65L20 65L70 65L60 65L50 PDFBibTeX XMLCite \textit{Z. Jackiewicz}, General linear methods for ordinary differential equations. Hoboken, NJ: John Wiley \& Sons (2009; Zbl 1211.65095) Full Text: DOI
Biryukov, V. N. Synthesis of an implicit \(A\)-stable one-step second order schemes by the high order backward differential formulas. (Russian. English summary) Zbl 1212.65298 Mat. Model. 21, No. 10, 107-110 (2009). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 65L20 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{V. N. Biryukov}, Mat. Model. 21, No. 10, 107--110 (2009; Zbl 1212.65298) Full Text: MNR
Ninomiya, Mariko; Ninomiya, Syoiti A new higher-order weak approximation scheme for stochastic differential equations and the Runge-Kutta method. (English) Zbl 1199.65011 Finance Stoch. 13, No. 3, 415-443 (2009). Reviewer: Yuliya Mishura (Kyïv) MSC: 65C30 65C05 65L06 17B01 91G60 60H10 PDFBibTeX XMLCite \textit{M. Ninomiya} and \textit{S. Ninomiya}, Finance Stoch. 13, No. 3, 415--443 (2009; Zbl 1199.65011) Full Text: DOI arXiv
Ababneh, O. Y.; Ahmad, R.; Ismail, E. S. New multi-step Runge-Kutta method. (English) Zbl 1191.65091 Appl. Math. Sci., Ruse 3, No. 45-48, 2255-2262 (2009). Reviewer: R. Militaru (Craiova) MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{O. Y. Ababneh} et al., Appl. Math. Sci., Ruse 3, No. 45--48, 2255--2262 (2009; Zbl 1191.65091) Full Text: Link
Anguelov, Roumen; Lubuma, Jean M.-S.; Shillor, Meir Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems. (English) Zbl 1187.65082 Discrete Contin. Dyn. Syst. 2009, Suppl., 34-43 (2009). MSC: 65L12 37B99 PDFBibTeX XMLCite \textit{R. Anguelov} et al., Discrete Contin. Dyn. Syst. 2009, 34--43 (2009; Zbl 1187.65082)
Debrabant, Kristian; Kværnø, Anne B-series analysis of stochastic Runge-Kutta methods that use an iterative scheme to compute their internal stage values. (English) Zbl 1188.65006 SIAM J. Numer. Anal. 47, No. 1, 181-203 (2009). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H35 65C20 68U20 PDFBibTeX XMLCite \textit{K. Debrabant} and \textit{A. Kværnø}, SIAM J. Numer. Anal. 47, No. 1, 181--203 (2009; Zbl 1188.65006) Full Text: DOI
Ahmad, Jafar Husni Efficiency of differential transformation method for Genesio system. (English) Zbl 1186.65087 J. Math. Stat. 5, No. 2, 93-96 (2009). MSC: 65L05 34A34 65P20 37D45 PDFBibTeX XMLCite \textit{J. H. Ahmad}, J. Math. Stat. 5, No. 2, 93--96 (2009; Zbl 1186.65087) Full Text: Link
Olabode, B. T.; Yusuph, Y. A new block method for special third order ordinary differential equations. (English) Zbl 1186.65097 J. Math. Stat. 5, No. 3, 167-170 (2009). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{B. T. Olabode} and \textit{Y. Yusuph}, J. Math. Stat. 5, No. 3, 167--170 (2009; Zbl 1186.65097) Full Text: Link
Doha, Eid H.; Rihan, Fathalla A.; Hassan, Mohamed I.; Kamel, Noha M. Mono-implicit Runge-Kutta method for delay differential equations. (English) Zbl 1185.65124 J. Egypt. Math. Soc. 17, No. 2, 213-232 (2009). MSC: 65L06 34K28 65L20 65L05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., J. Egypt. Math. Soc. 17, No. 2, 213--232 (2009; Zbl 1185.65124)
Krogstad, Stein; Munthe-Kaas, Hans Z.; Zanna, Antonella Generalized polar coordinates on Lie groups and numerical integrators. (English) Zbl 1185.22003 Numer. Math. 114, No. 1, 161-187 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 22E15 17B40 57S25 65L06 22-04 PDFBibTeX XMLCite \textit{S. Krogstad} et al., Numer. Math. 114, No. 1, 161--187 (2009; Zbl 1185.22003) Full Text: DOI
Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. (English) Zbl 1188.65108 Numer. Math. 114, No. 1, 133-160 (2009). Reviewer: R. Militaru (Craiova) MSC: 65L70 65M15 65L05 PDFBibTeX XMLCite \textit{G. Akrivis} et al., Numer. Math. 114, No. 1, 133--160 (2009; Zbl 1188.65108) Full Text: DOI
Rihan, F. A.; Doha, E. H.; Hassan, M. I.; Kamel, N. M. Numerical treatments for Volterra delay integro-differential equations. (English) Zbl 1184.65122 Comput. Methods Appl. Math. 9, No. 3, 292-308 (2009). MSC: 65R20 45G10 45J05 PDFBibTeX XMLCite \textit{F. A. Rihan} et al., Comput. Methods Appl. Math. 9, No. 3, 292--308 (2009; Zbl 1184.65122) Full Text: DOI
Hassan, Saleh M.; Alamery, D. G. B-splines collocation algorithms for solving numerically the MRLW equation. (English) Zbl 1183.65127 Int. J. Nonlinear Sci. 8, No. 2, 131-140 (2009). MSC: 65M70 35L75 65M12 65M06 65L06 PDFBibTeX XMLCite \textit{S. M. Hassan} and \textit{D. G. Alamery}, Int. J. Nonlinear Sci. 8, No. 2, 131--140 (2009; Zbl 1183.65127)
Mittal, R. C.; Jiwari, Ram Differential quadrature method for two-dimensional Burgers’ equations. (English) Zbl 1423.35314 Int. J. Comput. Methods Eng. Sci. Mech. 10, No. 6, 450-459 (2009). MSC: 35Q35 76M25 65M12 65L06 PDFBibTeX XMLCite \textit{R. C. Mittal} and \textit{R. Jiwari}, Int. J. Comput. Methods Eng. Sci. Mech. 10, No. 6, 450--459 (2009; Zbl 1423.35314) Full Text: DOI
Arrarás, A.; Portero, L.; Jorge, J. C. Linearly implicit domain decomposition methods for nonlinear time-dependent reaction-diffusion problems. (English) Zbl 1183.65109 Bercovier, Michel (ed.) et al., Domain decomposition methods in science and engineering XVIII. Selected papers based on the presentations at the 18th international conference of domain decomposition methods, Jerusalem, Israel, January 12–17, 2008. Berlin: Springer (ISBN 978-3-642-02676-8/hbk; 978-3-642-04466-3/ebook). Lecture Notes in Computational Science and Engineering 70, 267-274 (2009). MSC: 65M20 65M55 65M06 35K57 65L06 PDFBibTeX XMLCite \textit{A. Arrarás} et al., Lect. Notes Comput. Sci. Eng. 70, 267--274 (2009; Zbl 1183.65109) Full Text: DOI
Klöfkorn, Robert Numerics for evolution equations. A general interface based design concept. (English) Zbl 1184.65088 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). 275 p. (2009). MSC: 65M20 65L06 35L45 65Y05 PDFBibTeX XMLCite \textit{R. Klöfkorn}, Numerics for evolution equations. A general interface based design concept. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2009; Zbl 1184.65088) Full Text: Link
Piche, Robert; Kanniainen, Juho Matrix-based numerical modelling of financial differential equations. (English) Zbl 1183.91186 Int. J. Math. Model. Numer. Optim. 1, No. 1-2, 88-100 (2009). MSC: 91G60 PDFBibTeX XMLCite \textit{R. Piche} and \textit{J. Kanniainen}, Int. J. Math. Model. Numer. Optim. 1, No. 1--2, 88--100 (2009; Zbl 1183.91186) Full Text: DOI
Papadopoulos, D. F.; Anastassi, Z. A.; Simos, T. E. A modified zero dispersion and zero dissipation RKN method for the numerical solution of the radial Schrödinger equation. (English) Zbl 1185.65126 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 1604-1607 (2009). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{D. F. Papadopoulos} et al., AIP Conf. Proc. 1168, 1604--1607 (2009; Zbl 1185.65126) Full Text: DOI
Sandu, Adrian; Constantinescu, Emil M. Multirate time discretizations for hyperbolic partial differential equations. (English) Zbl 1182.65146 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 1411-1414 (2009). MSC: 65M20 65L06 35L65 65M12 PDFBibTeX XMLCite \textit{A. Sandu} and \textit{E. M. Constantinescu}, AIP Conf. Proc. 1168, 1411--1414 (2009; Zbl 1182.65146) Full Text: DOI
Gassner, Gregor; Haas, Mark An explicit high order accurate predictor-corrector time integration method with consistent local time-stepping for discontinuous Galerkin schemes. (English) Zbl 1182.65145 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 1188-1191 (2009). MSC: 65M20 65M60 35L65 65L06 PDFBibTeX XMLCite \textit{G. Gassner} and \textit{M. Haas}, AIP Conf. Proc. 1168, 1188--1191 (2009; Zbl 1182.65145) Full Text: DOI
Fang, Yonglei; Ming, Qinghe New Runge-Kutta method for stiff oscillatory problems with two frequencies. (English) Zbl 1182.65113 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 904-907 (2009). MSC: 65L06 65L05 34A34 34C10 65L20 PDFBibTeX XMLCite \textit{Y. Fang} and \textit{Q. Ming}, AIP Conf. Proc. 1168, 904--907 (2009; Zbl 1182.65113) Full Text: DOI
Shi, Wei; You, Xiong; Wu, Xinyuan Multi-symplectic exponentially fitted RKN methods for wave equations. (English) Zbl 1182.65192 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 900-903 (2009). MSC: 65P10 37M15 65L06 35Q53 65M20 65M12 37K10 PDFBibTeX XMLCite \textit{W. Shi} et al., AIP Conf. Proc. 1168, 900--903 (2009; Zbl 1182.65192) Full Text: DOI
Nipp, Kaspar; Stoffer, Daniel; Szmolyan, Peter Graph transform and blow-up in singular perturbations. (English) Zbl 1182.65109 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 861-868 (2009). MSC: 65L05 34A34 34C07 34E15 65L06 34C45 PDFBibTeX XMLCite \textit{K. Nipp} et al., AIP Conf. Proc. 1168, 861--868 (2009; Zbl 1182.65109) Full Text: DOI Link
Butcher, J. C. B-series and B-series coefficients. (English) Zbl 1182.65112 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 1. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0705-3/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 1, 7-10 (2009). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{J. C. Butcher}, AIP Conf. Proc. 1168, 7--10 (2009; Zbl 1182.65112) Full Text: DOI
Nguyen-Ba, Truong; Božić, Vladan; Kengne, Emmanuel; Vaillancourt, Rémi Nine-stage multi-derivative Runge-Kutta method of order 12. (English) Zbl 1265.65134 Publ. Inst. Math., Nouv. Sér. 86(100), 75-96 (2009). Reviewer: Boško Jovanović (Beograd) MSC: 65L06 34A34 65L05 65L50 65L70 65L20 PDFBibTeX XMLCite \textit{T. Nguyen-Ba} et al., Publ. Inst. Math., Nouv. Sér. 86(100), 75--96 (2009; Zbl 1265.65134) Full Text: DOI
Marsavina, Liviu; Craciun, Marius The asymptotic stress field for free edge joints under small-scale yielding conditions. (English) Zbl 1183.74251 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 17, No. 3, 171-181 (2009). MSC: 74R99 PDFBibTeX XMLCite \textit{L. Marsavina} and \textit{M. Craciun}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 17, No. 3, 171--181 (2009; Zbl 1183.74251) Full Text: EuDML
Jafri, Mahanum Diana; Suleiman, Mohamed; Majid, Zanariah Abdul; Ibrahim, Zarina Bibi Solving directly two point boundary value problems using direct multistep method. (English) Zbl 1181.65105 Sains Malays. 38, No. 5, 723-728 (2009). MSC: 65L10 34B15 65L06 PDFBibTeX XMLCite \textit{M. D. Jafri} et al., Sains Malays. 38, No. 5, 723--728 (2009; Zbl 1181.65105)
Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh Fourth-order compact solution of the nonlinear Klein-Gordon equation. (English) Zbl 1180.65114 Numer. Algorithms 52, No. 4, 523-540 (2009). MSC: 65M20 65M06 65L06 65M12 35Q53 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Numer. Algorithms 52, No. 4, 523--540 (2009; Zbl 1180.65114) Full Text: DOI
Popov, S. P. On the shapes of two-dimensional soliton perturbations in simple lattices. (Russian) Zbl 1199.65315 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 2, 322-331 (2009). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 65M20 65L06 35Q53 35Q51 37K10 PDFBibTeX XMLCite \textit{S. P. Popov}, Zh. Vychisl. Mat. Mat. Fiz. 49, No. 2, 322--331 (2009; Zbl 1199.65315)
Shirobokov, N. V. Fourth-order diagonally implicit schemes for evolution equations. (Russian, English) Zbl 1199.65237 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 6, 1080-1084 (2009); translation in Comput. Math., Math. Phys. 49, No. 6, 1033-1036 (2009). MSC: 65L05 65L06 34A34 65J08 47J35 65L20 35Q53 65M20 65M12 PDFBibTeX XMLCite \textit{N. V. Shirobokov}, Zh. Vychisl. Mat. Mat. Fiz. 49, No. 6, 1080--1084 (2009; Zbl 1199.65237); translation in Comput. Math., Math. Phys. 49, No. 6, 1033--1036 (2009) Full Text: DOI
Shirobokov, N. V. New fourth-order splitting methods for two-dimensional evolution equations. (Russian, English) Zbl 1199.37143 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 4, 696-699 (2009); translation in Comput. Math., Math. Phys. 49, No. 4, 672-675 (2009). MSC: 37L05 65J08 PDFBibTeX XMLCite \textit{N. V. Shirobokov}, Zh. Vychisl. Mat. Mat. Fiz. 49, No. 4, 696--699 (2009; Zbl 1199.37143); translation in Comput. Math., Math. Phys. 49, No. 4, 672--675 (2009) Full Text: DOI
Kassem, M. M.; Rashed, A. S. Group solution of a time dependent chemical convective process. (English) Zbl 1179.80048 Appl. Math. Comput. 215, No. 5, 1671-1684 (2009). MSC: 80A32 76R05 65L06 PDFBibTeX XMLCite \textit{M. M. Kassem} and \textit{A. S. Rashed}, Appl. Math. Comput. 215, No. 5, 1671--1684 (2009; Zbl 1179.80048) Full Text: DOI
Carpio, Ana; Duro, Gema Explosive behavior in spatially discrete reaction-diffusion systems. (English) Zbl 1186.65124 Discrete Contin. Dyn. Syst., Ser. B 12, No. 4, 693-711 (2009). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M20 65L06 65M12 35K57 PDFBibTeX XMLCite \textit{A. Carpio} and \textit{G. Duro}, Discrete Contin. Dyn. Syst., Ser. B 12, No. 4, 693--711 (2009; Zbl 1186.65124) Full Text: DOI
Zhu, Wei-Guo; Bai, Xiang-Zhong Bifurcation and chaos of a 4-side fixed rectangular thin plate in electromagnetic and mechanical fields. (English) Zbl 1422.74068 J. Zhejiang Univ., Sci. A 10, No. 1, 62-71 (2009). MSC: 74K20 74H60 74H65 74F15 PDFBibTeX XMLCite \textit{W.-G. Zhu} and \textit{X.-Z. Bai}, J. Zhejiang Univ., Sci. A 10, No. 1, 62--71 (2009; Zbl 1422.74068) Full Text: DOI
Zhao, Yanmin; Dai, Guidong; Tang, Yifa; Liu, Qinghuo Symplectic discretization for spectral element solution of Maxwell’s equations. (English) Zbl 1179.78111 J. Phys. A, Math. Theor. 42, No. 32, Article ID 325203, 12 p. (2009). MSC: 78M22 78A25 65L06 PDFBibTeX XMLCite \textit{Y. Zhao} et al., J. Phys. A, Math. Theor. 42, No. 32, Article ID 325203, 12 p. (2009; Zbl 1179.78111) Full Text: DOI Link
Jator, S. N.; Li, J. Solving two-point boundary value problems by a family of linear multistep methods. (English) Zbl 1180.65091 Neural Parallel Sci. Comput. 17, No. 2, 135-146 (2009). MSC: 65L10 65L06 65L20 34B15 PDFBibTeX XMLCite \textit{S. N. Jator} and \textit{J. Li}, Neural Parallel Sci. Comput. 17, No. 2, 135--146 (2009; Zbl 1180.65091)
Butcher, J. C. Practical Runge-Kutta methods for scientific computation. (English) Zbl 1178.65083 ANZIAM J. 50, No. 3, 333-342 (2009). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{J. C. Butcher}, ANZIAM J. 50, No. 3, 333--342 (2009; Zbl 1178.65083) Full Text: DOI
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I. Direct solution of \(n\)th-order IVPs by homotopy analysis method. (English) Zbl 1178.65077 Differ. Equ. Nonlinear Mech. 2009, Article ID 842094, 15 p. (2009). MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{A. S. Bataineh} et al., Differ. Equ. Nonlinear Mech. 2009, Article ID 842094, 15 p. (2009; Zbl 1178.65077) Full Text: DOI EuDML
Sari, Murat Solution of the porous media equation by a compact finite difference method. (English) Zbl 1181.80013 Math. Probl. Eng. 2009, Article ID 912541, 13 p. (2009). MSC: 80M20 76M20 80A20 76S05 65L06 PDFBibTeX XMLCite \textit{M. Sari}, Math. Probl. Eng. 2009, Article ID 912541, 13 p. (2009; Zbl 1181.80013) Full Text: DOI EuDML
Sari, Murat; Gürarslan, Gürhan Numerical solutions of the generalized Burgers-Huxley equation by a differential quadrature method. (English) Zbl 1184.65094 Math. Probl. Eng. 2009, Article ID 370765, 11 p. (2009). MSC: 65M70 35Q53 65M20 PDFBibTeX XMLCite \textit{M. Sari} and \textit{G. Gürarslan}, Math. Probl. Eng. 2009, Article ID 370765, 11 p. (2009; Zbl 1184.65094) Full Text: DOI EuDML
Zahran, Yousef Hashem An efficient TVD-WENO method for conservation laws. (English) Zbl 1177.65136 Numer. Methods Partial Differ. Equations 25, No. 6, 1443-1467 (2009). MSC: 65M06 35L65 65M20 65L06 PDFBibTeX XMLCite \textit{Y. H. Zahran}, Numer. Methods Partial Differ. Equations 25, No. 6, 1443--1467 (2009; Zbl 1177.65136) Full Text: DOI
Nguyen-Ba, Truong; Bozic, Vladan; Kengne, Emmanuel; Vaillancourt, Rémi One-step 9-stage Hermite-Birkhoff-Taylor ODE solver of order 10. (English) Zbl 1177.65104 J. Appl. Math. Comput. 31, No. 1-2, 335-358 (2009). MSC: 65L06 34A34 65L05 65L50 65L20 PDFBibTeX XMLCite \textit{T. Nguyen-Ba} et al., J. Appl. Math. Comput. 31, No. 1--2, 335--358 (2009; Zbl 1177.65104) Full Text: DOI
Olabode, B. T. A linear multistep method for the direct solution of fourth order ordinary differential equations. (English) Zbl 1179.65086 J. Math. Sci., Dattapukur 20, No. 2, 111-117 (2009). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{B. T. Olabode}, J. Math. Sci., Dattapukur 20, No. 2, 111--117 (2009; Zbl 1179.65086)
Agbeboh, G. U.; Ukpebor, L. A.; Esekhaigbe, A. C. A modified sixth-order Runge-Kutta method for solving initial-value problems in ordinary differential equations. (English) Zbl 1179.65084 J. Math. Sci., Dattapukur 20, No. 2, 97-110 (2009). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{G. U. Agbeboh} et al., J. Math. Sci., Dattapukur 20, No. 2, 97--110 (2009; Zbl 1179.65084)
Kumar, Manoj; Mishra, Hradyesh Kumar; Singh, P. Numerical treatment of singularly perturbed two point boundary value problems using initial-value method. (English) Zbl 1177.65109 J. Appl. Math. Comput. 29, No. 1-2, 229-246 (2009). Reviewer: Guido Vanden Berghe (Gent) MSC: 65L10 65L06 34B05 34B15 34E15 PDFBibTeX XMLCite \textit{M. Kumar} et al., J. Appl. Math. Comput. 29, No. 1--2, 229--246 (2009; Zbl 1177.65109) Full Text: DOI
Ismail, Fudziah; Ken, Yap Lee; Othman, Mohamad Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly. (English) Zbl 1175.65081 Int. J. Math. Anal., Ruse 3, No. 5-8, 239-254 (2009). MSC: 65L05 65L06 34A34 65L12 65L20 PDFBibTeX XMLCite \textit{F. Ismail} et al., Int. J. Math. Anal., Ruse 3, No. 5--8, 239--254 (2009; Zbl 1175.65081) Full Text: Link
Ababneh, Osama Yusuf; Rozita, Rokiah New third order Runge Kutta based on contraharmonic mean for stiff problems. (English) Zbl 1176.65079 Appl. Math. Sci., Ruse 3, No. 5-8, 365-376 (2009). MSC: 65L06 62J05 70F99 PDFBibTeX XMLCite \textit{O. Y. Ababneh} and \textit{R. Rozita}, Appl. Math. Sci., Ruse 3, No. 5--8, 365--376 (2009; Zbl 1176.65079) Full Text: Link
Zhu, Hongqiang; Qiu, Jianxian Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case. (English) Zbl 1173.65339 J. Comput. Phys. 228, No. 18, 6957-6976 (2009). MSC: 65M60 65M99 35L65 PDFBibTeX XMLCite \textit{H. Zhu} and \textit{J. Qiu}, J. Comput. Phys. 228, No. 18, 6957--6976 (2009; Zbl 1173.65339) Full Text: DOI
Samtaney, Ravi A method to simulate linear stability of impulsively accelerated density interfaces in ideal-MHD and gas dynamics. (English) Zbl 1173.76029 J. Comput. Phys. 228, No. 18, 6773-6783 (2009). MSC: 76M12 76E17 76L05 76E25 76W05 PDFBibTeX XMLCite \textit{R. Samtaney}, J. Comput. Phys. 228, No. 18, 6773--6783 (2009; Zbl 1173.76029) Full Text: DOI Link
Rößler, Andreas; Seaïd, Mohammed; Zahri, Mostafa Numerical simulation of stochastic replicator models in catalyzed RNA-like polymers. (English) Zbl 1173.82387 Math. Comput. Simul. 79, No. 12, 3577-3586 (2009). MSC: 82D60 35K57 65C30 65L06 PDFBibTeX XMLCite \textit{A. Rößler} et al., Math. Comput. Simul. 79, No. 12, 3577--3586 (2009; Zbl 1173.82387) Full Text: DOI
Banda, M. K. Implicit-explicit (IMEX) schemes and relaxation systems. (English) Zbl 1175.65107 Abdulle, Assyr (ed.) et al., Multiple scales problems in biomathematics, mechanics, physics and numerics, CIMPA school, Cape Town, South Africa, August 6–18, 2007. Tokyo: Gakkotosho (ISBN 978-4-7625-0456-3/hbk). GAKUTO International Series. Mathematical Sciences and Applications 31, 301-325 (2009). MSC: 65M20 35L65 35B25 65M06 65M12 PDFBibTeX XMLCite \textit{M. K. Banda}, GAKUTO Int. Ser., Math. Sci. Appl. 31, 301--325 (2009; Zbl 1175.65107)
Manzini, Gianmarco An efficient and conservative hybrid method for solving multidimensional conservation laws. (English) Zbl 1183.65104 Numer. Methods Partial Differ. Equations 25, No. 5, 1029-1066 (2009). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 35L65 65M08 65L06 65Y20 PDFBibTeX XMLCite \textit{G. Manzini}, Numer. Methods Partial Differ. Equations 25, No. 5, 1029--1066 (2009; Zbl 1183.65104) Full Text: DOI
Kammanee, A.; Böckmann, C. Boundary value method for inverse Sturm-Liouville problems. (English) Zbl 1170.65064 Appl. Math. Comput. 214, No. 2, 342-352 (2009). MSC: 65L09 65L15 34L16 34A55 65L06 PDFBibTeX XMLCite \textit{A. Kammanee} and \textit{C. Böckmann}, Appl. Math. Comput. 214, No. 2, 342--352 (2009; Zbl 1170.65064) Full Text: DOI
Davies, R. W.; Morgan, K.; Hassan, O. A high order hybrid finite element method applied to the solution of electromagnetic wave scattering problems in the time domain. (English) Zbl 1183.78034 Comput. Mech. 44, No. 3, 321-331 (2009). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 78M10 78M22 78A45 65M60 65L06 PDFBibTeX XMLCite \textit{R. W. Davies} et al., Comput. Mech. 44, No. 3, 321--331 (2009; Zbl 1183.78034) Full Text: DOI
Bratsos, A. G. On the numerical solution of the Klein-Gordon equation. (English) Zbl 1169.65087 Numer. Methods Partial Differ. Equations 25, No. 4, 939-951 (2009). MSC: 65M20 35Q53 65L06 65L12 65M15 65M12 35Q51 PDFBibTeX XMLCite \textit{A. G. Bratsos}, Numer. Methods Partial Differ. Equations 25, No. 4, 939--951 (2009; Zbl 1169.65087) Full Text: DOI
Kawala, A. M. Comparison study for numerical solution and travelling wave solution for Ito coupled system. (English) Zbl 1169.65088 Numer. Methods Partial Differ. Equations 25, No. 4, 870-884 (2009). MSC: 65M20 35K55 65L06 65M12 PDFBibTeX XMLCite \textit{A. M. Kawala}, Numer. Methods Partial Differ. Equations 25, No. 4, 870--884 (2009; Zbl 1169.65088) Full Text: DOI
Wu, Shifeng; Gan, Siqing Errors of linear multistep methods for singularly perturbed Volterra delay-integro-differential equations. (English) Zbl 1202.65182 Math. Comput. Simul. 79, No. 10, 3148-3159 (2009). Reviewer: Neville Ford (Chester) MSC: 65R20 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{S. Wu} and \textit{S. Gan}, Math. Comput. Simul. 79, No. 10, 3148--3159 (2009; Zbl 1202.65182) Full Text: DOI
Jator, S. N. Novel finite difference schemes for third order boundary value problems. (English) Zbl 1175.65086 Int. J. Pure Appl. Math. 53, No. 1, 37-54 (2009). Reviewer: Guido Vanden Berghe (Gent) MSC: 65L12 65L06 34B15 65L10 65L20 PDFBibTeX XMLCite \textit{S. N. Jator}, Int. J. Pure Appl. Math. 53, No. 1, 37--54 (2009; Zbl 1175.65086)
Wu, Boying; Bi, Hui A semi-implicit Godunov-type scheme for Burgers’ equation. (English) Zbl 1176.65101 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. S1, Suppl., 124-129 (2009). MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{B. Wu} and \textit{H. Bi}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. S1, 124--129 (2009; Zbl 1176.65101)
Kozakevicius, A. J.; Santos, L. C. C. ENO adaptive method for solving one-dimensional conservation laws. (English) Zbl 1167.65421 Appl. Numer. Math. 59, No. 9, 2337-2355 (2009). MSC: 65M06 65L06 35L65 76N15 76M20 65T60 PDFBibTeX XMLCite \textit{A. J. Kozakevicius} and \textit{L. C. C. Santos}, Appl. Numer. Math. 59, No. 9, 2337--2355 (2009; Zbl 1167.65421) Full Text: DOI
Kawala, A. M. Numerical solutions for Ito coupled system. (English) Zbl 1167.65039 Acta Appl. Math. 106, No. 3, 325-335 (2009). MSC: 65L05 34A34 65L06 PDFBibTeX XMLCite \textit{A. M. Kawala}, Acta Appl. Math. 106, No. 3, 325--335 (2009; Zbl 1167.65039) Full Text: DOI
Verwer, J. G. Runge-Kutta methods and viscous wave equations. (English) Zbl 1167.65052 Numer. Math. 112, No. 3, 485-507 (2009). MSC: 65M20 65L06 35L15 65M12 65L20 PDFBibTeX XMLCite \textit{J. G. Verwer}, Numer. Math. 112, No. 3, 485--507 (2009; Zbl 1167.65052) Full Text: DOI
Goh, S. M.; Ismail, A. I. M.; Noorani, M. S. M.; Hashim, I. Dynamics of the hantavirus infection through variational iteration method. (English) Zbl 1163.92326 Nonlinear Anal., Real World Appl. 10, No. 4, 2171-2176 (2009). MSC: 92C60 PDFBibTeX XMLCite \textit{S. M. Goh} et al., Nonlinear Anal., Real World Appl. 10, No. 4, 2171--2176 (2009; Zbl 1163.92326) Full Text: DOI
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J. Piecewise finite series solution of nonlinear initial value differential problem. (English) Zbl 1166.65350 Appl. Math. Comput. 212, No. 1, 209-215 (2009). MSC: 65L05 34A34 65L50 65L70 65L06 PDFBibTeX XMLCite \textit{A. J. Arenas} et al., Appl. Math. Comput. 212, No. 1, 209--215 (2009; Zbl 1166.65350) Full Text: DOI
Pal, Dulal; Mondal, Hiranmoy Influence of temperature-dependent viscosity and thermal radiation on MHD forced convection over a non-isothermal wedge. (English) Zbl 1200.76172 Appl. Math. Comput. 212, No. 1, 194-208 (2009). Reviewer: Ioan Pop (Cluj-Napoca) MSC: 76R10 76W05 76M20 80A20 PDFBibTeX XMLCite \textit{D. Pal} and \textit{H. Mondal}, Appl. Math. Comput. 212, No. 1, 194--208 (2009; Zbl 1200.76172) Full Text: DOI
Dekker, K. Partitioned Krylov subspace iteration in implicit Runge-Kutta methods. (English) Zbl 1166.65038 Linear Algebra Appl. 431, No. 3-4, 488-494 (2009). MSC: 65L06 65M20 65L05 34A34 35K55 65F10 65Y05 PDFBibTeX XMLCite \textit{K. Dekker}, Linear Algebra Appl. 431, No. 3--4, 488--494 (2009; Zbl 1166.65038) Full Text: DOI
Oberhuber, Tomáš Complementary finite volume scheme for the anisotropic surface diffusion flow. (English) Zbl 1172.65375 Handlovičová, Angela (ed.) et al., Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry – Podbsanské, Slovakia, March 15–20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3032-7/pbk). 153-164 (2009). MSC: 65M20 65M06 35K55 65M12 53C44 58J35 PDFBibTeX XMLCite \textit{T. Oberhuber}, in: Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry -- Podbsanské, Slovakia, March 15--20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. 153--164 (2009; Zbl 1172.65375)
Wang, Wansheng; Li, Shoufu Convergence of Runge-Kutta methods for neutral Volterra delay-integro-differential equations. (English) Zbl 1396.65166 Front. Math. China 4, No. 1, 195-216 (2009). MSC: 65R20 65L05 45J05 PDFBibTeX XMLCite \textit{W. Wang} and \textit{S. Li}, Front. Math. China 4, No. 1, 195--216 (2009; Zbl 1396.65166) Full Text: DOI
Koto, Toshiyuki Stability of implicit-explicit linear multistep methods for ordinary and delay differential equations. (English) Zbl 1396.65114 Front. Math. China 4, No. 1, 113-129 (2009). MSC: 65L06 65L20 34K28 PDFBibTeX XMLCite \textit{T. Koto}, Front. Math. China 4, No. 1, 113--129 (2009; Zbl 1396.65114) Full Text: DOI
Huang, Chengming; Vandewalle, Stefan Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. (English) Zbl 1396.65112 Front. Math. China 4, No. 1, 63-87 (2009). MSC: 65L06 65R20 PDFBibTeX XMLCite \textit{C. Huang} and \textit{S. Vandewalle}, Front. Math. China 4, No. 1, 63--87 (2009; Zbl 1396.65112) Full Text: DOI Link
Li, Shoufu A review of theoretical and numerical analysis for nonlinear stiff Volterra functional differential equations. (English) Zbl 1396.65120 Front. Math. China 4, No. 1, 23-48 (2009). MSC: 65L20 65R20 65L06 PDFBibTeX XMLCite \textit{S. Li}, Front. Math. China 4, No. 1, 23--48 (2009; Zbl 1396.65120) Full Text: DOI
Pang, Xiao-Feng; Liu, Mei-Jie Features of motion of soliton transported bio-energy in aperiodic \(\alpha\)-helix protein molecules with three channels. (English) Zbl 1170.92003 Commun. Theor. Phys. 51, No. 1, 170-180 (2009). MSC: 92C05 92C40 65C20 PDFBibTeX XMLCite \textit{X.-F. Pang} and \textit{M.-J. Liu}, Commun. Theor. Phys. 51, No. 1, 170--180 (2009; Zbl 1170.92003) Full Text: DOI
Nguyen-Ba, Truong; Hao, Han; Yagoub, Hemza; Vaillancourt, Rémi One-step 5-stage Hermite-Birkhoff-Taylor ODE solver of order 12. (English) Zbl 1162.65368 Appl. Math. Comput. 211, No. 2, 313-328 (2009). MSC: 65L06 PDFBibTeX XMLCite \textit{T. Nguyen-Ba} et al., Appl. Math. Comput. 211, No. 2, 313--328 (2009; Zbl 1162.65368) Full Text: DOI