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International Journal of Computer Mathematics Volume 91, 2014 - Issue 2: Numerical Methods and Mathematical Modelling in Biology, Medicine and Social Sciences
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Section B

Computing survival functions of the sum of two independent Markov processes: an application to bladder carcinoma treatment

B. García-MoraInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, SpainCorrespondence[email protected]
,
C. SantamaríaInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain
,
G. RubioInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain
&
J. L. PontonesHospital Universitario La Fe de Valencia, Valencia, Spain
Pages 209-220 | Received 20 Oct 2012, Accepted 28 Dec 2012, Published online: 19 Mar 2013

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Matthias Ehrhardt, Lucas Jódar Sánchez & Rafael Jacinto Villanueva Micó. (2014) Numerical methods and mathematical modelling in biology, medicine and social sciences. International Journal of Computer Mathematics 91:2, pages 176-178.
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Articles from other publishers (6)

Bahar Arslan & Awad Al-MohyH.H.. (2022) Generalized complex step approximation to estimate the first and second order Fréchet derivative of matrix functions. Filomat 36:16, pages 5603-5614.
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Peter Kandolf, Antti Koskela, Samuel D. Relton & Marcel Schweitzer. (2021) Computing low‐rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods. Numerical Linear Algebra with Applications 28:6.
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Awad H. Al-Mohy & Bahar Arslan. (2020) The complex step approximation to the higher order Fréchet derivatives of a matrix function. Numerical Algorithms 87:3, pages 1061-1074.
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Belén García-Mora, Cristina Santamaría & Gregorio Rubio. (2020) A Phase-Type Distribution for the Sum of Two Concatenated Markov Processes Application to the Analysis Survival in Bladder Cancer. Mathematics 8:12, pages 2099.
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Nicholas J. Higham & Samuel D. Relton. (2014) Estimating the Condition Number of the Fréchet Derivative of a Matrix Function. SIAM Journal on Scientific Computing 36:6, pages C617-C634.
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Nicholas J. Higham & Samuel D. Relton. (2014) Higher Order Fréchet Derivatives of Matrix Functions and the Level-2 Condition Number. SIAM Journal on Matrix Analysis and Applications 35:3, pages 1019-1037.
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