Relevant bibliographies by topics / Backward differentiation formulas

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Backward differentiation formulas'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Backward differentiation formulas.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Backward differentiation formulas"

1

Gear, Bill. "Backward differentiation formulas." Scholarpedia 2, no. 8 (2007): 3162. http://dx.doi.org/10.4249/scholarpedia.3162.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Skelboe, Stig. "Stability properties of backward differentiation multirate formulas." Applied Numerical Mathematics 5, no. 1-2 (February 1989): 151–60. http://dx.doi.org/10.1016/0168-9274(89)90031-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Kazmierski, T. J., and K. G. Nichols. "Single iteration approach to backward differentiation formulas." IEE Proceedings G (Electronic Circuits and Systems) 132, no. 6 (1985): 249. http://dx.doi.org/10.1049/ip-g-1.1985.0051.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Biala, T. A., and S. N. Jator. "Block Backward Differentiation Formulas for Fractional Differential Equations." International Journal of Engineering Mathematics 2015 (September 29, 2015): 1–14. http://dx.doi.org/10.1155/2015/650425.

Full text
Abstract:
This paper concerns the numerical approximation of Fractional Initial Value Problems (FIVPs). This is achieved by constructing k-step continuous BDFs. These continuous schemes are developed via the interpolation and collocation approach and are used to obtain the discrete k-step BDF and (k-1) additional methods which are applied as numerical integrators in a block-by-block mode for the integration of FIVP. The properties of the methods are established and regions of absolute stability of the methods are plotted in the complex plane. Numerical tests including large systems arising form the semidiscretization of one-dimensional fractional Burger’s equation show that the methods are highly accurate and efficient.
APA, Harvard, Vancouver, ISO, and other styles
5

Frank, J. E. "Parallel iteration of the extended backward differentiation formulas." IMA Journal of Numerical Analysis 21, no. 1 (January 1, 2001): 367–85. http://dx.doi.org/10.1093/imanum/21.1.367.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Skeel, Robert D. "Global error estimation and the backward differentiation formulas." Applied Mathematics and Computation 31 (May 1989): 197–208. http://dx.doi.org/10.1016/0096-3003(89)90119-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Mohd Zawawi, Iskandar Shah, Zarina Bibi Ibrahim, and Khairil Iskandar Othman. "Derivation of Diagonally Implicit Block Backward Differentiation Formulas for Solving Stiff Initial Value Problems." Mathematical Problems in Engineering 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/179231.

Full text
Abstract:
The diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) of order two, order three, and order four are derived for solving stiff initial value problems (IVPs). The stability properties of the derived methods are investigated. The implementation of the method using Newton iteration is also discussed. The performance of the proposed methods in terms of maximum error and computational time is compared with the fully implicit block backward differentiation formulas (FIBBDF) and fully implicit block extended backward differentiation formulas (FIBEBDF). The numerical results show that the proposed method outperformed both existing methods.
APA, Harvard, Vancouver, ISO, and other styles
8

Zimin, V. G., and A. L. Cherezov. "Application of Backward Differentiation Formulas to Neutron Kinetics Problems." Physics of Atomic Nuclei 80, no. 8 (December 2017): 1377–86. http://dx.doi.org/10.1134/s106377881708018x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Jator, S. N., R. K. Sahi, M. I. Akinyemi, and D. Nyonna. "Exponentially fitted block backward differentiation formulas for pricing options." Cogent Economics & Finance 9, no. 1 (January 1, 2021): 1875565. http://dx.doi.org/10.1080/23322039.2021.1875565.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Fook, Tiaw Kah, and Zarina Bibi Ibrahim. "Block Backward Differentiation Formulas for solving second order Fuzzy Differential Equations." MATEMATIKA 33, no. 2 (December 27, 2017): 215. http://dx.doi.org/10.11113/matematika.v33.n2.868.

Full text
Abstract:
In this paper, we study the numerical method for solving second order Fuzzy Differential Equations (FDEs) using Block Backward Differential Formulas (BBDF) under generalized concept of higher-order fuzzy differentiability. Implementation of the method using Newton iteration is discussed. Numerical results obtained by BBDF are presented and compared with Backward Differential Formulas (BDF) and exact solutions. Several numerical examples are provided to illustrate our methods.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Backward differentiation formulas"

1

Sartori, Larissa Marques. "Métodos para resolução de EDOs stiff resultantes de modelos químicos atmosféricos." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-21032014-170050/.

Full text
Abstract:
Problemas provenientes de química atmosférica, possuem uma característica especial denominada stiffness, indicando que as soluções dos sistemas de equações diferenciais ordinárias envolvidos variam em diferentes ordens de grandeza. Isso faz com que métodos numéricos adequados devam ser aplicados no intuito de obter soluções numéricas convergentes e estáveis. Os métodos mais eficazes para tratar este tipo de problema são os métodos implícitos, pois possuem uma região de estabilidade ilimitada que permite grandes variações no tamanho do passo, mantendo o erro de discretização dentro de uma dada tolerância. Mais precisamente, estes métodos possuem a propriedade de A-estabilidade ou A(alpha)-estabilidade. Neste trabalho, comparamos dois métodos numéricos com estas características: o método de Rosenbrock e a fórmula de diferenciação regressiva (métodos BDF). O primeiro é usado no módulo de Química do modelo CCATT-BRAMS do Centro de Previsão de Tempo e Estudos Climáticos (CPTEC), sendo incluído na previsão numérica de regiões com intensas fontes de poluição. Este é um método de passo simples implícito com um controle de passo adaptativo. Aqui empregamos também o segundo, um método de passo múltiplo que dispõe de uma fórmula que permite variação no tamanho do passo e na ordem, empregando o pacote LSODE. Os resultados de nossas comparações indicam que os métodos BDF podem se constituir em interessante alternativa para uso no CCATT-BRAMS.
Problems from atmospheric chemistry have a special characteristic denominated stiffness, indicating that the solutions of the involved ordinary differential equations systems vary in different scales. This means that appropriate methods should be applied in order to get convergent and stable numerical solutions. The most powerful methods to treat problems like this are implicit schemes, since they have unlimited stabity regions, allowing large variations in step size, keeping the discretization error within a given tolerance. More precisely, these methods have the A-stability or A(alpha)-stability properties. In this work, we compared two numerical methods with those characteristics: the Rosenbrock method and the backward differentiation formula (BDF). The first one is employed in the Chemistry package within CCATT-BRAMS local weather model of CPTEC (Center for Weather Forecasts and Climate Studies), which is mainly used for the numerical forecasting of regions with intense pollution. This is a implicit one-step method with an adaptative stepsize control. We compare it with the second method, a multistep method with a formula that allows variations in step size and order, with the help of the LSODE package. The results of our comparisons indicate that BDF methods are an interesting alternative to be used within CCATT-BRAMS.
APA, Harvard, Vancouver, ISO, and other styles
2

Abdulla, Thuraya J. A. M. "Modified extended backward differentiation formulae for differential-algebraic equations with applications to time dependent PDEs." Thesis, Imperial College London, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.369071.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Backward differentiation formulas"

1

Skeel, Robert D. Global error estimation and the backward differentiation formulas. Urbana, IL (1304 W. Springfield Ave., Urbana 61801): Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1986.

Find full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Backward differentiation formulas"

1

Cash, Jeff R. "Backward Differentiation Formulae." In Encyclopedia of Applied and Computational Mathematics, 97–101. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_94.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Yatim, Siti Ainor Mohd, Zarina Bibi Ibrahim, Khairil Iskandar Othman, and Mohamed Suleiman. "Solving Stiff Ordinary Differential Equations Using Extended Block Backward Differentiation Formulae." In Lecture Notes in Electrical Engineering, 31–43. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6190-2_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Backward differentiation formulas"

1

Nasir, Nor Ain Azeany Mohd, Zarina Bibi Ibrahim, Mohamed Suleiman, and Khairil Iskandar Othman. "Stability of block backward differentiation formulas method." In THE 22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22): Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4932419.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Skeel, R. D. "Global error estimation and the backward differentiation formulas." In the conference. New York, New York, USA: ACM Press, 1989. http://dx.doi.org/10.1145/101007.101030.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Mohd Zawawi, Iskandar Shah, Zarina Bibi Ibrahim, and Mohamed Suleiman. "Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations." In PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation. AIP, 2013. http://dx.doi.org/10.1063/1.4801191.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Choi, Chiu H. "Comparing the accuracy of backward differentiation formulas for solving Lyapunov differential equations." In 2008 IEEE International Conference on Computer-Aided Control Systems (CACSD) part of the Multi-Conference on Systems and Control. IEEE, 2008. http://dx.doi.org/10.1109/cacsd.2008.4627342.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Ibrahim, Zarina Bibi, Nor Ain Azeany Mohd Nasir, Khairil Iskandar Othman, and Mohamed Suleiman. "Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations." In PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation. AIP, 2013. http://dx.doi.org/10.1063/1.4801110.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Gavrea, B., D. Negrut, and F. A. Potra. "The Newmark Integration Method for Simulation of Multibody Systems: Analytical Considerations." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81770.

Full text
Abstract:
When simulating the behavior of a mechanical system, the time evolution of the generalized coordinates used to represent the configuration of the model is computed as the solution of a combined set of ordinary differential and algebraic equations (DAEs). There are several ways in which the numerical solution of the resulting index 3 DAE problem can be approached. The most well-known and time-honored algorithms are the direct discretization approach, and the state-space reduction approach, respectively. In the latter, the problem is reduced to a minimal set of potentially new generalized coordinates in which the problem assumes the form of a pure second order set of Ordinary Differential Equations (ODE). This approach is very accurate, but computationally intensive, especially when dealing with large mechanical systems that contain flexible parts, stiff components, and contact/impact. The direct discretization approach is less but nevertheless sufficiently accurate yet significantly faster, and it is the approach that is considered in this paper. In the context of direct discretization methods, approaches based on the Backward Differentiation Formulas (BDF) have been the traditional choice for more than 20 years. This paper proposes a new approach in which BDF methods are replaced by the Newmark formulas. Local convergence analysis is carried out for the proposed method, and step-size control, error estimation, and nonlinear system solution related issues are discussed in detail. A series of two simple models are used to validate the method. The global convergence analysis and a computational-efficiency comparison with the most widely used numerical integrator available in the MSC.ADAMS commercial simulation package are forthcoming. The new method has been implemented successfully for industrial strength Dynamic Analysis simulations in the 2005 version of the MSC.ADAMS software and used very effectively for the simulation of systems with more than 15,000 differential-algebraic equations.
APA, Harvard, Vancouver, ISO, and other styles
7

Mahayadin, Mahfuzah, Khairil Iskandar Othman, and Zarina Bibi Ibrahim. "Stability region of 3-point block backward differentiation formula." In PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4887569.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Zawawi, Iskandar Shah Mohd, Hazleen Aris, and Bo Nørregaard Jørgensen. "Transient Analysis of Electrical Circuits using Block Backward Differentiation Formula." In IEEA 2020: 2020 The 9th International Conference on Informatics, Environment, Energy and Applications. New York, NY, USA: ACM, 2020. http://dx.doi.org/10.1145/3386762.3391922.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Mohd Zawawi, Iskandar Shah, Zarina Bibi Ibrahim, and Mohamed Suleiman. "On the stability of diagonally implicit 2-point block backward differentiation formulae." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013): Proceedings of the International Conference on Mathematical Sciences and Statistics 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4823927.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Asnor, Asma Izzati, Siti Ainor Mohd Yatim, and Zarina Bibi Ibrahim. "Higher order block backward differentiation formula for solving third order ordinary differential equations." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologies for Mathematics & Mathematics for Technological Innovation. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136471.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Backward differentiation formulas"

1

Campbell, Stephen L. Distributional Convergence of BDF (Backward Differentiation Formulas) Approximations to Solutions of Descriptor Systems. Fort Belvoir, VA: Defense Technical Information Center, November 1987. http://dx.doi.org/10.21236/ada190819.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Backward differentiation formulas' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography