A class of explicit exponential general linear methods

From MaRDI portal
Publication:2502316

DOI10.1007/s10543-006-0054-3zbMath1103.65061OpenAlexW2011155487MaRDI QIDQ2502316

Yanyan Li

Publication date: 12 September 2006

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-006-0054-3




Related Items (52)

Convergence and stability of exponential integrators for semi-linear stochastic pantograph integro-differential equations with jumpExponential Krylov peer integratorsExponential stability and synchronisation of fuzzy Mittag–Leffler discrete-time Cohen–Grossberg neural networks with time delaysA Gaussian radial basis function-finite difference technique to simulate the HCIR equationA new numerical method for solving semilinear fractional differential equationStability analysis of explicit exponential integrators for delay differential equationsAccurate evaluation of divided differences for polynomial interpolation of exponential propagatorsA new class of split exponential propagation iterative methods of Runge-Kutta type (sEPIRK) for semilinear systems of odesConvergence and Mean-Square Stability of Exponential Euler Method for Semi-Linear Stochastic Delay Integro-Differential EquationsA high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial dataExponential almost Runge-Kutta methods for semilinear problemsEfficient inequality-preserving integrators for differential equations satisfying forward Euler conditionsExponential Runge-Kutta parareal for non-diffusive equationsDelay dependent asymptotic mean square stability analysis of the stochastic exponential Euler methodA new class of exponential propagation iterative methods of Runge-Kutta type (EPIRK)Fourth-Order Time-Stepping For Stiff PDEs On The SphereExponential Additive Runge-Kutta Methods for Semi-Linear Differential EquationsMatrix exponentiation and the Frank-Kamenetskii equationExponential peer methodsGeneralized exponential time differencing methods for fractional order problemsSymmetric and symplectic exponential integrators for nonlinear Hamiltonian systemsExponential multistep methods of Adams-typeHigh order explicit exponential Runge-Kutta methods for semilinear delay differential equationsNumerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equationExponential Adams-Bashforth integrators for stiff ODEs, application to cardiac electrophysiologySolving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integratorsExplicit exponential Runge-Kutta methods for semilinear parabolic delay differential equationsVariable step implementation of ETD methods for semilinear problemsTaylor expansions of solutions of stochastic partial differential equations with additive noiseThe convergence and MS stability of exponential Euler method for semilinear stochastic differential equationsD-convergence and conditional GDN-stability of exponential Runge-Kutta methods for semilinear delay differential equationsLinearly implicit methods for nonlinear PDEs with linear dispersion and dissipationExponential Rosenbrock integrators for option pricingAn exponential time-integrator scheme for steady and unsteady inviscid flowsConservation of phase space properties using exponential integrators on the cubic Schrödinger equationPositivity of exponential Runge-Kutta methodsEfficient multiple time-stepping algorithms of higher orderA Class of Exponential Integrators Based on Spectral Deferred CorrectionA note on exponential Rosenbrock-Euler method for the finite element discretization of a semilinear parabolic partial differential equationImplementation of exponential Rosenbrock-type integratorsThe scaling and modified squaring method for matrix functions related to the exponentialApproximation of matrix operators applied to multiple vectorsAsymptotical stability of numerical methods for semi-linear impulsive differential equationsHigher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part II: ConvergenceTopics in structure-preserving discretizationExponential collocation methods for conservative or dissipative systemsExponential Polynomial Block MethodsFOURTH-ORDER NUMERICAL METHODS FOR THE COUPLED KORTEWEG–DE VRIES EQUATIONSHigher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: StabilityExplicit high-order time stepping based on componentwise application of asymptotic block Lanczos iterationOn the stability of exponential integrators for non-diffusive equationsNumerically stable formulas for a particle-based explicit exponential integrator


Uses Software


Cites Work


This page was built for publication: A class of explicit exponential general linear methods