Nuove formole d'integrazione; integrazione per inversione di variabile; soluzionario contenente il calcolo coi metodi ordinari dell'integrale delle funzioni di una variabile occorrenti nella pratica.

Available on demand as hard copy or computer file from Cornell University Library.

Beitrag zur Auswerthung bestimmter Integrale Mittelst Veränderung des Weges.

"Separatabdruck aus den Mitteilungen der Naturforschenden Gesellschaft in Bern."

Intégrales eulériennes ou elliptiques.

"Extrait du tome 49. des Mémoires de l'Académie Royale des sciences, des lettres et des beaux-arts de Belgique, 1892."

Recherches sur quelques produits indéfinis et sur la constante G:conmplément.

"Extrait du tome 51 des Mémoires de l'Académie Royale des sciences, des lettres et des beaux-arts de Belgique, 1893."

Recherches sur la constante G, et sur les intégrales eulériennes.

"Mémoires de l'Académie Impériale des Sciences de St. Pétersbourg. 7e série, tom. 31, no. 3."

Bestimmung der Integrale [integral sign] 2̳[pi][cos sin]n[phi]d[phi]/[Phi]s̳, wobei [Phi]= A+ Bcos[phi]+Csin[phi]+Dcos2[phi]+Esin2[phi], für beliebige reelle und komplexe Werte von [phi].

On t. p., 2̳[pi] and s̳ are superscript.

Sur l'intégrale eulérienne de première espèce.

"Extrait du t. LIII des Mémoires couronnées et Mémoires des savants étrangers, pub. par l'Académie royale des sciences, des lettres et des beaux-arts de Belgique, 1893."

Theorie des Integrallogarithmus und verwandter Transzendenten.

Available on demand as hard copy or computer file from Cornell University Library.

Traité d'analyse,

Available on demand as hard copy or computer file from Cornell University Library.

Neue theorie der ultraelliptischen functionen.

Available on demand as hard copy or computer file from Cornell University Library.

An introduction to the study of the elements of the differential and integral calculus.

Available on demand as hard copy or computer file from Cornell University Library.

Vorlesungen über die Lehre von den einfachen und mehrfachen bestimmten Integralen /

Preservation photocopy on alkaline paper.

A course in mathematical analysis,

Vol. II translated by Earle Raymond Hedrick and Otto Dunkel, published in 2 parts.

Traité d'analyse /

t. 1. Intégrales simples et multiples. Lʼéquation de Laplace et ses applications. Développments in séries. Applications géométriques du calcul infinitésimal.

Numerical methods for strong solutions of stochastic differential equations: an overview

This paper gives a review of recent progress in the design of numerical methods for computing the trajectories (sample paths) of solutions to stochastic differential equations. We give a brief survey of the area focusing on a number of application areas where approximations to strong solutions are important, with a particular focus on computational biology applications, and give the necessary analytical tools for understanding some of the important concepts associated with stochastic processes. We present the stochastic Taylor series expansion as the fundamental mechanism for constructing effective numerical methods, give general results that relate local and global order of convergence and mention the Magnus expansion as a mechanism for designing methods that preserve the underlying structure of the problem. We also present various classes of explicit and implicit methods for strong solutions, based on the underlying structure of the problem. Finally, we discuss implementation issues relating to maintaining the Brownian path, efficient simulation of stochastic integrals and variable-step-size implementations based on various types of control.