GlobalView

Add to Quick Collection All 16 Results

Add All Items to Quick Collection

**Date:** 2014
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1307281
**Description:** We present a set of algorithms for automated simplification of symbolic constants of the form ∑_{i}α_{i}x_{i} with α_{i} rational and x_{i} complex. The include... More
**Reviewed:**
**Date:** 2013
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940198
**Description:** Purpose: In recent years attention has been directed to the problem of solving the Poisson equation, either in engineering scenarios (computational) or in regard to crystal structure (theoretical). Me... More
**Full Text:**
**Reviewed:**
**Date:** 2012
**Keyword:** experimental mathematics | high-precision computing | numerical integration | random walks | elliptic integrals
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940078
**Description:** In this paper we describe numerical investigations of definite integrals that arise by considering the moments of multi-step uniform random walks in the plane, together with a closely related class of... More
**Full Text:**
**Reviewed:**
**Date:** 2012
**Keyword:** high-precision computation | mathematical physics | dynamical systems | experimental mathematics
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/939951
**Description:** At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scientific applications. However, for a rapidly growing body of important scientific computing applications... More
**Reviewed:**
**Date:** 2010
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/932067
**Description:** Box integrals - expectations 〈|r→|s or 〈|r→ - q→|s〉 over the unit n-cube - have over three decades been occasionally given closed forms for isolated n, s. By employing experimental mathematics togethe... More
**Full Text:**
**Reviewed:**
**Date:** 2009
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/807939
**Description:** The field of statistics has long been noted for techniques to detect patterns and regularities in numerical data. In this article, we explore connections between statistics and the emerging field of ‘... More
**Full Text:**
**Reviewed:**
**Date:** 2009
**Language:** eng
**Resource Type:** book
**Identifier:** http://hdl.handle.net/1959.13/917802
**Description:** Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces t... More
**Date:** 2008
**Language:** eng
**Resource Type:** book
**Identifier:** http://hdl.handle.net/1959.13/928636
**Description:** This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences," that provides examples of experimental mathematics that ... More
**Date:** 2008
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940062
**Description:** We intend to show that a variety of trigonometric sums have unexpected closed forms by relating them to cognate integrals. We hope this offers a good advertisement for the possibilities of experimenta... More
**Full Text:**
**Reviewed:**
**Date:** 2006
**Language:** eng
**Resource Type:** conference paper
**Identifier:** http://hdl.handle.net/1959.13/1038493
**Description:** We analyze the behavior of Euler-Maclaurin-based integration schemes with the intention of deriving accurate and economic estimations of the error. These schemes typically provide very high-precision ... More
**Full Text:**
**Reviewed:**
**Date:** 2006
**Keyword:** experimental mathematics | symbolic computation | numeric computation | mathematical discovery
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/928097
**Description:** This article presents and solves ten symbolic/numeric challenge problems, in the spirit of the recent SIAM hundred-digit, hundred-dollar challenge problems. Our goal in this article is to provide solu... More
**Full Text:**
**Reviewed:**
**Date:** 2005
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/928088
**Description:** Recent years have seen the flowering of "experimental" mathematics, namely the utilization of modern computer technology as an active tool in mathematical research. This development is not limited to ... More
**Full Text:**
**Reviewed:**
**Creators:**
Borwein, Jonathon M.
**Date:** 2005
**Keyword:** aesthetics | constructivism | experimental mathematics | humanist philosophy | insight | integer relations | proof
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940740
**Description:** The emergence of powerful mathematical computing environments, the growing availability of correspondingly powerful (multi-processor) computers and the pervasive presence of the internet allow for mat... More
**Reviewed:**
**Creators:**
Borwein, Jonathan M.
**Date:** 2001
**Keyword:** mathematical computing | parallel computation | experimental mathematics | mathematical research
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1039900
**Description:** Experimental Mathematics is an exciting emerging discipline within mathematics. Founded in 1993, the Centre for Experimental and Constructive Mathematics is a national and international leader in the ... More
**Full Text:**
**Reviewed:**
**Date:** 1999
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940174
**Description:** Using mostly elementary examples, Borwein and Corless discuss the use of some recent and emerging tools for experimental mathematics. The tools discussed included so-called "inverse symbolic computati... More
**Full Text:**
**Reviewed:**