Outlines of a theory of algebraical equations, deduced from the principles of Harriott, and extended to the fluxional or differential calculus,

Mode of access: Internet.

Elementary differential equations /

Mode of access: Internet.

Nonlinear differential equations and nonlinear oscillations : final report /

At head of title: Office of Naval Research, Contract NONR-1858(04), Project NRO43-942.

Regular singular points of a system of homogeneous linear differential equations of the first order.

"From Proceedings of the American Academy of Arts and Sciences, v.38, no. 9, Oct. 1902."

Notes on partial differential equations.

Cover title.

Partial differential equations : lecture notes, mathematics 365 /

Bibliography: leaf [77]

Differential equations applied in science and engineering

Mode of access: Internet.

Elements of the integral calculus, with a key to the solution of differential equations, and a short table of integrals.

Mode of access: Internet.

Introduction to nonlinear differential and integral equations.

First published in 1960 by the U. S. Atomic Energy Commission.

The differential and integral calculus : containing differentiation, integration, development, series, differential equations, differences, summation, equations of differences, calculus of variations, definite integrals,--with applications to algebra, plane geometry, solid geometry, and mechanics. Also, Elementary illustrations of the differential and integral calculus /

First issued in 25 parts, July 15, 1836, to June 1, 1842.

A treatise on differential equations, with a collection of examples arranged in classes, corresponding to the several divisions of the subject.

Mode of access: Internet.

A treatise on differential equations

Mode of access: Internet.

A treatise on differential equations,

Mode of access: Internet.

Theory of differential equations.

pt. I. (Vol. I) Exact equations and Pfaff's problem. 1890.--pt. II. (Vol. II-III) Ordinary equations, not linear. 1900.--pt. III. (Vol. IV) Ordinary equations. 1902.--pt. IV (vol. V-VI) Partial differential equations. 1906.

Implicit stochastic Runge-Kutta methods for stochastic differential equations

In this paper we construct implicit stochastic Runge-Kutta (SRK) methods for solving stochastic differential equations of Stratonovich type. Instead of using the increment of a Wiener process, modified random variables are used. We give convergence conditions of the SRK methods with these modified random variables. In particular, the truncated random variable is used. We present a two-stage stiffly accurate diagonal implicit SRK (SADISRK2) method with strong order 1.0 which has better numerical behaviour than extant methods. We also construct a five-stage diagonal implicit SRK method and a six-stage stiffly accurate diagonal implicit SRK method with strong order 1.5. The mean-square and asymptotic stability properties of the trapezoidal method and the SADISRK2 method are analysed and compared with an explicit method and a semi-implicit method. Numerical results are reported for confirming convergence properties and for comparing the numerical behaviour of these methods.