Numerical computation of the coefficients in exponential fitting

DOI10.1007/s11075-020-01000-wzbMath1491.65067OpenAlexW3082500575WikidataQ115602965 ScholiaQ115602965MaRDI QIDQ2035512

L. Gr. Ixaru

Publication date: 24 June 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-01000-w

zbMATH Keywords

regularizationSchrödinger equationboundary value problemNumerov methodCoffey-Evans potential

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (1)

Exponential fitting for interpolation of oscillatory functions. A numerical approach

Uses Software

• SLEIGN
• formConv
• Algorithm 700

Cites Work

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• Extended exponentially fitted interpolation formulas for oscillatory functions
• Modified Gauss-Laguerre exponential fitting based formulae
• High order exponentially fitted methods for Volterra integral equations with periodic solution
• Some new uses of the \(\eta _m(Z)\) functions
• Exponentially fitted symplectic integrators of RKN type for solving oscillatory problems
• Operations on oscillatory functions
• A class of explicit high-order exponentially-fitted two-step methods for solving oscillatory IVPs
• Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts
• A trigonometrically fitted block method for solving oscillatory second-order initial value problems and Hamiltonian systems
• Full in phase finite difference algorithm for differential equations in quantum chemistry
• Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation
• A multistage two-step fraught in phase scheme for problems in mathematical chemistry
• Exponential and trigonometrical fittings: user-friendly expressions for the coefficients
• Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday
• Exponentially fitted IMEX methods for advection-diffusion problems
• A four-step trigonometric fitted P-stable Obrechkoff method for periodic initial-value problems
• Certification of algorithm 700 numerical tests of the SLEIGN software for Sturm-Liouville problems
• Fitted modifications of Runge‐Kutta pairs of orders 6(5)
• A Regularization Procedure for Σn−i=1fi(zj)xi =g(zj), (j = 1, 2, …,n)
• Explicit Runge-Kutta methods for initial value problems with oscillating solutions

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