Add to ORKGA new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert problems is developed, based on a recent method for the homogeneous Painlev\'e II Riemann- Hilbert problem. We demonstrate its effectiveness by computing solutions to other Painlev\'e transcendents.\ud \ud An implementation in MATHEMATICA is made available online
The inverse monodromy method for studying the Riemann-Hilbert problem associated with classical Pain...
Article in press, corrected proofA new concept of meromorphic $\Sigma$-factorization, for H\"{o}lder...
In this paper we use the Riemann-Hilbert problem, with jumps supported on appropriate curves in the ...
We describe a new spectral method for solving matrix-valued Riemann-Hilbert problems numerically. We...
A new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert probl...
Thesis (Ph.D.)--University of Washington, 2013The computation of special functions has important imp...
We describe a new spectral method for solving matrix-valued Riemann-Hilbert problems numerically. We...
The effective and efficient numerical solution of Riemann–Hilbert problems has been demonstrated in ...
In this paper, the Riemann-Hilbert problem, with a jump supported on an appropriate curve on the com...
Abstract. The stability and convergence rate of Olver’s collocation method for the numerical solutio...
In recent developments, a general approach for solving Riemann–Hilbert problems numerically has been...
AbstractA geometrically motivated linearization is used to construct an iterative method for solving...
We show that by deforming the Riemann-Hilbert (RH) formalism associated with certain linear PDEs and...
The computation of special functions has important implications throughout engineering and the physi...
AbstractThis paper presents two new Fredholm integral equations associated to the interior and the e...
The inverse monodromy method for studying the Riemann-Hilbert problem associated with classical Pain...
Article in press, corrected proofA new concept of meromorphic $\Sigma$-factorization, for H\"{o}lder...
In this paper we use the Riemann-Hilbert problem, with jumps supported on appropriate curves in the ...
We describe a new spectral method for solving matrix-valued Riemann-Hilbert problems numerically. We...
A new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert probl...
Thesis (Ph.D.)--University of Washington, 2013The computation of special functions has important imp...
We describe a new spectral method for solving matrix-valued Riemann-Hilbert problems numerically. We...
The effective and efficient numerical solution of Riemann–Hilbert problems has been demonstrated in ...
In this paper, the Riemann-Hilbert problem, with a jump supported on an appropriate curve on the com...
Abstract. The stability and convergence rate of Olver’s collocation method for the numerical solutio...
In recent developments, a general approach for solving Riemann–Hilbert problems numerically has been...
AbstractA geometrically motivated linearization is used to construct an iterative method for solving...
We show that by deforming the Riemann-Hilbert (RH) formalism associated with certain linear PDEs and...
The computation of special functions has important implications throughout engineering and the physi...
AbstractThis paper presents two new Fredholm integral equations associated to the interior and the e...
The inverse monodromy method for studying the Riemann-Hilbert problem associated with classical Pain...
Article in press, corrected proofA new concept of meromorphic $\Sigma$-factorization, for H\"{o}lder...
In this paper we use the Riemann-Hilbert problem, with jumps supported on appropriate curves in the ...