Fernando Casas
Professor of Applied MathematicsInstitut de Matemàtiques i Aplicacions de Castelló (IMAC)
Departament de Matemàtiques
Universitat Jaume I
12071-Castellón
Spain
Fernando.Casas (at) uji.es
Coordinates
- ORCID ID: 0000-0002-6445-279X
- Scopus Author ID:7006843566
- WoS ResearcherID:G-1588-2011
- Google Scholar Profile
Research areas
- Numerical Analysis of Differential Equations
- Geometric Numerical Integration
- Splitting and Composition Methods
- Lie-group methods
Book on Geometric Numerical Integration
In 2016 Sergio Blanes and myself coauthored a Concise Introduction to Geometric Numerical Integration, with two goals in mind. "First, it is intended as a (concise) introduction to the main themes, techniques and applications of geometric integrators for researchers in mathematics, physics, astronomy or chemistry already familiar with numerical tools for solving differential equations. Second, as a bridge from the traditional training in the numerical analysis of differential equations to the most recent and advanced research literature in the field of numerical geometric integration".
Seminars, conferences and presentations
Here we collect the titles of seminars and presentations I have given during the last years
Some quotations I particularly like
- We have not succeeded in answering all our problems. The answers we have found only serve to raise a whole set of new questions. In some ways we feel we are as confused as ever, but we believe we are confused on a higher level and about more important things.(As collected by Bernt Oksendal in his book "Stochastic Differential Equations. An Introduction with Applications, Springer, 1985)
- All our mathematics is constructed. It is a construction we make in order to think about the world. ... [It] is the only way we have to think logically about things we observe. ... The book of Nature is not written in mathematics; rather, mathematics is the only language we know to explain nature logically. (Ingrid Daubechies).
- Look inside yourself, for all the answers are within. (Inscription on a park bench in Vancouver)
- When you have been compelled by circumstances to be disturbed in a manner, quickly return to yourself and do not continue out of tune longer than the compulsion lasts; for you will have more mastery over the harmony by continually recurring to it. (Marcus Aurelius, Mediatation 6.11)
- Everything comes to him who knows how to wait. (Wolfgang Pauli, when informed about the discovery of neutrino, 26 years after he postulated its existence)
- Denials never have the charm or the impact of false reports. (Cited by John Stachel as originating from a nineteenth-century Danish diplomat)
- On fait la science avec des faits comme une maison avec des pierres; mais une accumulation de faits n'est pas plus une science qu'un tas de pierres n'est une maison (Henri Poincaré, La Science et l'Hypothèse)