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Handling effectively the rejected stages in Runge–Kutta pairs implementation.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 12, p. 10390, doi. 10.1002/mma.10128
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Midway reassignment of Runge–Kutta step length.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 16, p. 16701, doi. 10.1002/mma.9469
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Sixth‐order, P‐stable, Numerov‐type methods for use at moderate accuracies.
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- Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 8, p. 6923, doi. 10.1002/mma.7233
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Exponential integrators for linear inhomogeneous problems.
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- Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 1, p. 937, doi. 10.1002/mma.6802
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Phase‐fitted, six‐step methods for solving x′′ = f(t,x).
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- Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 11, p. 3942, doi. 10.1002/mma.5623
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Hybrid, phase–fitted, four–step methods of seventh order for solving x″(t) = f(t,x).
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- Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 6, p. 2025, doi. 10.1002/mma.5495
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Trigonometric–fitted hybrid four–step methods of sixth order for solving y′′(x)=f(x,y).
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- Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 2, p. 710, doi. 10.1002/mma.5371
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Explicit, two‐stage, sixth‐order, hybrid four‐step methods for solving y′′(x)=f(x,y).
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 16, p. 6997, doi. 10.1002/mma.5211
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Fitted modifications of Runge‐Kutta pairs of orders 6(5).
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 16, p. 6184, doi. 10.1002/mma.5128
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- Article
Fitted modifications of classical Runge‐Kutta pairs of orders 5(4).
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 12, p. 4549, doi. 10.1002/mma.4913
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Trigonometric fitted, eighth‐order explicit Numerov‐type methods.
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 5, p. 1845, doi. 10.1002/mma.4711
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Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs.
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- Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 18, p. 6276, doi. 10.1002/mma.4454
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Modified two-step hybrid methods for the numerical integration of oscillatory problems.
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- Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 14, p. 5286, doi. 10.1002/mma.4386
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The Use of Phase Lag and Amplification Error Derivatives for the Construction of a Modified Runge-Kutta-Nyström Method.
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- Abstract & Applied Analysis, 2013, p. 1, doi. 10.1155/2013/910624
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- Article
New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration.
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- Abstract & Applied Analysis, 2012, p. 1, doi. 10.1155/2012/182536
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- Article
A very efficient and sophisticated fourteenth-order phase-fitting method for addressing chemical issues.
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- Journal of Mathematical Chemistry, 2024, v. 62, n. 9, p. 2129, doi. 10.1007/s10910-024-01636-2
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- Article
An effective multistep fourteenth-order phase-fitting approach to solving chemistry problems.
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- Journal of Mathematical Chemistry, 2024, v. 62, n. 8, p. 1860, doi. 10.1007/s10910-024-01628-2
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The use of a multistep, cost-efficient fourteenth-order phase-fitting method to chemistry problems.
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- Journal of Mathematical Chemistry, 2024, v. 62, n. 8, p. 1781, doi. 10.1007/s10910-024-01623-7
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A low-cost, two-step fourteenth-order phase-fitting approach to tackling problems in chemistry.
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- Journal of Mathematical Chemistry, 2024, v. 62, n. 7, p. 1607, doi. 10.1007/s10910-024-01615-7
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An exceedingly effective and inexpensive two-step, fourteenth-order phase-fitting method for solving quantum chemical issues.
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- Journal of Mathematical Chemistry, 2024, v. 62, n. 3, p. 761, doi. 10.1007/s10910-023-01560-x
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Solution to quantum chemistry problems using a phase-fitting, singularly P-stable, cost-effective two-step approach with disappearing phase-lag derivatives up to order 5.
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- Journal of Mathematical Chemistry, 2023, v. 61, n. 3, p. 455, doi. 10.1007/s10910-022-01416-w
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Solution of quantum chemical problems using an extremely successful and reasonably cost two-step, fourteenth-order phase-fitting approach.
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- Journal of Mathematical Chemistry, 2023, v. 61, n. 10, p. 2045, doi. 10.1007/s10910-023-01498-0
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Solution of quantum chemical problems by a very effective and relatively inexpensive two-step, fourteenth-order, phase-fitting procedure.
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- Journal of Mathematical Chemistry, 2023, v. 61, n. 9, p. 1888, doi. 10.1007/s10910-023-01490-8
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Two-step, fourteenth-order, phase-fitting procedure with high efficiency and minimal cost for chemical problems.
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- Journal of Mathematical Chemistry, 2023, v. 61, n. 8, p. 1797, doi. 10.1007/s10910-023-01486-4
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Highly efficient, singularly P-stable, and low-cost phase-fitting two-step method of 14th order for problems in chemistry.
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- Journal of Mathematical Chemistry, 2023, v. 61, n. 7, p. 1545, doi. 10.1007/s10910-023-01470-y
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- Article
Phase-fitting, singularly P-stable, cost-effective two-step approach to solving problems in quantum chemistry with vanishing phase-lag derivatives up to order 6.
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- Journal of Mathematical Chemistry, 2023, v. 61, n. 6, p. 1414, doi. 10.1007/s10910-023-01461-z
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A Phase-Fitting Singularly P-Stable Cost-Effective Two-Step Method for Solving Chemistry Problems.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 10, p. 2094, doi. 10.1007/s10910-022-01395-y
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A phase-fitting, first, second and third derivatives phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 8, p. 1632, doi. 10.1007/s10910-022-01373-4
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A phase-fitting, first and second derivatives phase-fitting singularly P-stable economical two-step method for problems in chemistry.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 8, p. 1480, doi. 10.1007/s10910-022-01361-8
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A phase-fitting and first derivative phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 7, p. 1383, doi. 10.1007/s10910-022-01352-9
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A multistep method with optimal phase and stability properties for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 6, p. 937, doi. 10.1007/s10910-022-01342-x
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A multistep conditionally P-stable method with phase properties of high order for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 4, p. 637, doi. 10.1007/s10910-022-01326-x
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A two-step singularly P-stable method with high phase and large stability properties for problems in chemistry.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 3, p. 475, doi. 10.1007/s10910-021-01313-8
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A two-step method singularly P-stable with improved properties for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 2, p. 311, doi. 10.1007/s10910-021-01298-4
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A singularly P-stable two-step method with improved characteristics for problems in chemistry.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 1, p. 70, doi. 10.1007/s10910-021-01292-w
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- Article
A phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2022, v. 60, n. 1, p. 1, doi. 10.1007/s10910-021-01284-w
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- Article
An economical two-step method with optimal phase and stability properties for problems in chemistry.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 8, p. 1938, doi. 10.1007/s10910-021-01270-2
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Two-step method with vanished phase-lag and its derivatives for problems in quantum chemistry: an economical case.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 8, p. 1880, doi. 10.1007/s10910-021-01263-1
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- Article
An economical two-step method with improved phase and stability properties for problems in chemistry.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 7, p. 1704, doi. 10.1007/s10910-021-01260-4
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A new improved economical finite difference method for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 7, p. 1738, doi. 10.1007/s10910-021-01252-4
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A new method with improved phase-lag and stability properties for problems in quantum chemistry - an economical case.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 7, p. 1571, doi. 10.1007/s10910-021-01245-3
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A new FinDiff numerical scheme with phase-lag and its derivatives equal to zero for periodic initial value problems.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 5, p. 1201, doi. 10.1007/s10910-020-01210-6
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A new economical method with eliminated phase-lag and its derivative for problems in chemistry.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 6, p. 1395, doi. 10.1007/s10910-021-01238-2
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A new method with vanished phase-lag and its derivatives of the highest order for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 5, p. 1155, doi. 10.1007/s10910-021-01222-w
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New FD methods with phase-lag and its derivatives equal to zero for periodic initial value problems.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 3, p. 641, doi. 10.1007/s10910-020-01203-5
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- Article
A new finite difference method with optimal phase and stability properties for problems in chemistry.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 4, p. 951, doi. 10.1007/s10910-021-01215-9
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Efficient FinDiff algorithm with optimal phase properties for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2021, v. 59, n. 3, p. 597, doi. 10.1007/s10910-020-01188-1
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New FD scheme with vanished phase-lag and its derivatives up to order six for problems in chemistry.
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- Journal of Mathematical Chemistry, 2020, v. 58, n. 10, p. 2324, doi. 10.1007/s10910-020-01168-5
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A new algorithm with eliminated phase-lag and its derivatives up to order five for problems in quantum chemistry.
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- Journal of Mathematical Chemistry, 2020, v. 58, n. 10, p. 2361, doi. 10.1007/s10910-020-01164-9
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A finite difference method with phase-lag and its derivatives equal to zero for problems in chemistry.
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- Journal of Mathematical Chemistry, 2020, v. 58, n. 9, p. 2024, doi. 10.1007/s10910-020-01161-y
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- Article