Found 26 Documents (Results 1–26)
Accelerating exponential integrators to efficiently solve semilinear advection-diffusion-reaction equations. (English) Zbl 1535.65128
Reviewer: Kanakadurga Sivakumar (Chennai)
A second order directional split exponential integrator for systems of advection-diffusion-reaction equations. (English) Zbl 07797627
Efficient inversion of matrix \(\varphi \)-functions of low order. (English) Zbl 1526.65016
MSC:
65F60
A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. (English) Zbl 1528.15001
BAMPHI: matrix-free and transpose-free action of linear combinations of \(\varphi\)-functions from exponential integrators. (English) Zbl 1503.65142
On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions. (English) Zbl 1502.65022
Computing the Lyapunov operator \(\varphi \)-functions, with an application to matrix-valued exponential integrators. (English) Zbl 1505.65188
Comparison of exponential integrators and traditional time integration schemes for the shallow water equations. (English) Zbl 1502.65054
Reviewer: Qifeng Zhang (Hangzhou)
High-order numerical solutions to the shallow-water equations on the rotated cubed-sphere grid. (English) Zbl 07524789
Arbitrary precision algorithms for computing the matrix cosine and its Fréchet derivative. (English) Zbl 1508.65044
Efficient and accurate computation for the \(\varphi\)-functions arising from exponential integrators. (English) Zbl 1485.65050
A fast time splitting finite difference approach to Gross-Pitaevskii equations. (English) Zbl 1473.65096
Calculating the divided differences of the exponential function by addition and removal of inputs. (English) Zbl 1535.65038
Approximation of the matrix exponential for matrices with a skinny field of values. (English) Zbl 1455.65069
Fast and accurate computation of divided differences for analytic functions, with an application to the exponential function. (English) Zbl 1540.65059
An arbitrary precision scaling and squaring algorithm for the matrix exponential. (English) Zbl 1437.65033
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