
Expint
 Referenced in 49 articles
[sw07150]
 been focused on the construction of exponential integrators for semilinear problems. In this article ... quick deployment and testing of exponential integrators, of RungeKutta, multistep, and general linear type ... large number of integrators are included in this package along with several wellknown examples ... accuracy, stability, and efficiency of exponential integrators, and the approach taken here is through...

Algorithm 919
 Referenced in 42 articles
[sw07350]
 Evaluating the ϕFunctions Appearing in Exponential Integrators. We develop an algorithm for computing ... linear combination of the matrix exponential and other functions related to the exponential ... computational burden in the implementation of exponential integrators, which can solve general ODEs. Our approach...

phipm
 Referenced in 43 articles
[sw20788]
 evaluating the φfunctions appearing in exponential integrators” by Jitse Niesen and Will Wright...

PARAEXP
 Referenced in 23 articles
[sw07168]
 observation that homogeneous problems can typically be integrated much faster than inhomogeneous problems. An overlapping ... method is used for the fast exponential integration of the homogeneous subproblems. We present...

SPECFUN
 Referenced in 21 articles
[sw00895]
 test drivers. Components include Bessel functions, exponential integrals, error functions and related functions, and gamma...

ergm
 Referenced in 46 articles
[sw06777]
 Simulate and Diagnose ExponentialFamily Models for Networks. An integrated set of tools to analyze...

KIOPS
 Referenced in 6 articles
[sw30345]
 fast adaptive Krylov subspace solver for exponential integrators. This paper presents a new algorithm KIOPS ... varphi)functions that appear in exponential integrators. This algorithm is suitable for largescale problems ... solved efficiently by computing a single exponential of a modified matrix. Then our approach ... significantly reduces the computational complexity of exponential integrators. Our numerical experiments demonstrate that KIOPS outperforms...

EXPINT
 Referenced in 5 articles
[sw14344]
 Algorithm 556: Exponential integrals [S13]. sequences of exponential integrals...

Algorithm 683
 Referenced in 5 articles
[sw12902]
 portable FORTRAN subroutine for exponential integrals of a complex argument...

expmARPACK
 Referenced in 4 articles
[sw13396]
 equations in photonic crystal modeling. The exponential time integration, i.e., time integration which involves ... this note we discuss exponential Krylov subspace time integration methods and provide a simple guide...

NetNUMPAC
 Referenced in 6 articles
[sw19081]
 evaluating density functions of exponential functionals represented as integrals of geometric Brownian motion. The purpose ... probability densities of the exponential functionals represented as integrals in time of geometric Brownian motions...

Algorithm 894
 Referenced in 3 articles
[sw13925]
 values of ϕfunctions required in exponential integrators. The subroutines in the library accept...

EXPODE
 Referenced in 2 articles
[sw20449]
 EXPODE  Advanced Exponential Time Integration Toolbox for MATLAB, Code Documentation. EXPODE is a MATLAB toolbox ... exponential time integration. It supports exponential RungeKutta and Rosenbrockmethods, linearized and nonlinearized...

Algorithm 911
 Referenced in 1 article
[sw20181]
 Algorithm 911: multipleprecision exponential integral and related functions. This article describes a collection ... Fortran95 routines for evaluating the exponential integral function, error function, sine and cosine integrals...

Expocon
 Referenced in 1 article
[sw32780]
 order conditions for the construction of exponential integrators. Expocon.mpl was presented at the CASC ... Computing Coefficients of Words in Expressions Involving Exponentials ... Application to the Construction of Exponential Integrators, Proceedings of CASC 2019, Lecture Notes in Computer...

s13aaf
 Referenced in 1 article
[sw30989]
 s13aaf returns the value of the exponential integral E1x, via the function name...

H2SOLV
 Referenced in 1 article
[sw22223]
 linear combination of the explicitly correlated exponential (Ko{l}osWolniewicz) functions. The computations ... computation of the twocenter twoelectron integrals for arbitrary values of internuclear distances developed ... author, “Efficient approach to twocenter exponential integrals with applications to excited states of molecular...

libkww
 Referenced in 4 articles
[sw29172]
 Fourier transform of the stretched (or compressed) exponential function exp(tβ ) for exponents β between ... numeric integration is enormously accelerated by using the Ooura–Mori double exponential transformation. The primitive...

tergm
 Referenced in 4 articles
[sw24886]
 Network Evolution Based on ExponentialFamily Random Graph Models. An integrated set of extensions ... analyze and simulate network evolution based on exponentialfamily random graph models (ERGM). ’tergm...

ECOM
 Referenced in 5 articles
[sw16817]
 Fourier and integral equation methods on the unit disk to achieve exponential convergence...