Exponentially accurate solution tracking for nonlinear ODEs, the higher order Stokes phenomenon and double transseries resummation [PDF]
, 2012 We demonstrate the conjunction of new exponential-asymptotic effects in the context of a second order nonlinear ordinary differential equation with a small parameter.
Olde Daalhuis, Adri +3 more
core +1 more source
Explicit Solution of the Time Domain Volume Integral Equation Using a Stable Predictor-Corrector Scheme [PDF]
, 2012 An explicit marching-on-in-time (MOT) scheme for solving the time domain volume integral equation is presented. The proposed method achieves its stability by employing, at each time step, a corrector scheme, which updates/corrects fields computed by the ...
Bağcı, H +11 more
core +1 more source
Painleve Equations and Orthogonal Polynomials [PDF]
, 2016 In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures.
Smith, James
core
Collocation schemes for periodic solutions of neutral delay differential equations [PDF]
, 2005 We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE +8 more
core +1 more source
An introduction to regular splines and their application for initial value problems of ordinary differential equations [PDF]
, 1975 This report describes an application of the general method of integrating initial value problems by means of regular splines for equations with movable singularities.
Werner, H
core +3 more sources
On the covering dimension of the set of solutions of some nonlinear equations [PDF]
, 1986 We prove an abstract theorem whose sole hypothesis is that the degree of a certain map is nonzero and whose parametric equations are studied using cohomological mconclusions imply sharp, multidimensional continuation results.
Pejsachowicz, Jacobo +4 more
core
Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]
, 2000 This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare +2 more
core
On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling [PDF]
, 2005 We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A_t= \Delta A +\mu A + c A^3 -A^5 -k A (\int_{R^n} A^2\,dx).
Winter, M, Wei, J
core +3 more sources
Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]
, 2008 After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core
Dispersive properties of high order nedelec/edge element approximation of the time-harmonic Maxwell equations [PDF]
, 2004 The dispersive behaviour of high-order Næ#169;dæ#169;lec element approximation of the time harmonic Maxwell equations at a prescribed temporal frequency ω on tensor-product meshes of size h is analysed.
Ainsworth, Mark
core +1 more source