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Found 98 Documents (Results 1–98)

Advances on collocation based numerical methods for ordinary differential equations and Volterra integral equations. (English) Zbl 1216.65097

Simos, Theodore E. (ed.), Recent advances in computational and applied mathematics. Dordrecht: Springer (ISBN 978-90-481-9980-8/hbk; 978-90-481-9981-5/ebook). 41-66 (2011).
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Practical construction of two-step collocation Runge-Kutta methods for ordinary differential equations. (English) Zbl 1203.65108

De Bernardis, Enrico (ed.) et al., Applied and industrial mathematics in Italy III. Selected contributions from the 9th SIMAI conference, Rome, Italy, September 15–19, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4280-29-7/hbk). Series on Advances in Mathematics for Applied Sciences 82, 278-288 (2010).
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Modified collocation techniques for Volterra integral equations. (English) Zbl 1203.65285

De Bernardis, Enrico (ed.) et al., Applied and industrial mathematics in Italy III. Selected contributions from the 9th SIMAI conference, Rome, Italy, September 15–19, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4280-29-7/hbk). Series on Advances in Mathematics for Applied Sciences 82, 268-277 (2010).
MSC:  65R20 45G10 45D05
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Runge-Kutta-Nyström stability for a class of general linear methods for \(y^{\prime\prime} = f(x,y)\). (English) Zbl 1182.65128

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, 444-447 (2009).
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A family of multistep collocation methods for Volterra integro-differential equations. (English) Zbl 1182.65200

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, 358-361 (2009).
MSC:  65R20 45J05 45G10
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Collocation-based two step Runge-Kutta methods for ordinary differential equations. (English) Zbl 1297.65081

Gervasi, Osvaldo (ed.) et al., Computational science and its applications – ICCSA 2008. International conference, Perugia, Italy, June 30 – July 3, 2008, Proceedings, Part II. Berlin: Springer (ISBN 978-3-540-69840-1/pbk). Lecture Notes in Computer Science 5073, 736-751 (2008).
MSC:  65L06
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A family of multistep collocation methods for Volterra integral equations. (English) Zbl 1152.65319

Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference of numerical analysis and applied mathematics, Corfu, Greece, 16–20 September 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0447-2/hbk). AIP Conference Proceedings 936, 128-131 (2007).
MSC:  65-XX
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A general family of two step collocation methods for ordinary differential equations. (English) Zbl 1152.65320

Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference of numerical analysis and applied mathematics, Corfu, Greece, 16–20 September 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0447-2/hbk). AIP Conference Proceedings 936, 45-48 (2007).
MSC:  65L60
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A general family of two step Runge-Kutta-Nyström methods for \(y^{\prime\prime} = f(x,y)\) based on algebraic polynomials. (English) Zbl 1157.65420

Alexandrov, Vassil N. (ed.) et al., Computational science – ICCS 2006. 6th international conference, Reading, UK, May 28–31, 2006. Proceedings, Part IV. Berlin: Springer (ISBN 3-540-34385-7/pbk). Lecture Notes in Computer Science 3994, 700-707 (2006).
MSC:  65L06
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Function fitting two-step BDF algorithms for ODEs. (English) Zbl 1107.65060

Bubak, Marian (ed.) et al., Computational science – ICCS 2004. 4th international conference, Kraków, Poland, June 6–9, 2004. Proceedings, Part IV. Berlin: Springer (ISBN 3-540-22129-8/pbk). Lecture Notes in Computer Science 3039, 443-450 (2004).
MSC:  65L05 34A34
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Vandermonde-type matrices in two step collocation methods for special second order ordinary differential equations. (English) Zbl 1107.65066

Bubak, Marian (ed.) et al., Computational science – ICCS 2004. 4th international conference, Kraków, Poland, June 6–9, 2004. Proceedings, Part IV. Berlin: Springer (ISBN 3-540-22129-8/pbk). Lecture Notes in Computer Science 3039, 418-425 (2004).
MSC:  65L10 65L60 34B15
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Two step Runge-Kutta-Nyström methods for oscillatory problems based on mixed polynomials. (English) Zbl 1147.65317

Sloot, Peter M. A. (ed.) et al., Computational science – ICCS 2003. International conference, Melbourne, Australia and St. Petersburg, Russia, June 2–4, 2003. Proceedings, Part II. Berlin: Springer (ISBN 3-540-40195-4/pbk). Lecture Notes in Computer Science 2658, 131-138 (2003).
MSC:  65L05 65L06
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Two step Runge-Kutta-Nyström methods for \(y'' = f(x,y)\) and P-stability. (English) Zbl 1056.65071

Sloot, Peter M. A. (ed.) et al., Computational science - ICCS 2002. 2nd international conference, Amsterdam, the Netherlands, April. 21–24, 2002. Proceedings. Part 3. Berlin: Springer (ISBN 3-540-43594-8). Lect. Notes Comput. Sci. 2331, 459-466 (2002).
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Analysis of stability of rational approximations through computer algebra. (English) Zbl 1072.65512

Ganzha, V. G. (ed.) et al., Computer algebra in scientific computing. CASC ’99. Proceedings of the 2nd workshop, Munich, Germany, May 31 - June 4, 1999. Berlin: Springer (ISBN 3-540-66047-X). 25-36 (1999).
MSC:  65L06
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