Keyword

one-step methods

Description: One-step methods are numerical algorithms that advance a solution using information from a single current step, especially for solving ordinary differential equations.

Primary topic: Numerical methods for differential equations (44%)

Wikidata ID: wiki/Q1308986

OpenAlex ID: keywords/one-step-methods

Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations

1995 · K. E. Brenan, S. L. Campbell, et al. · Society for Industrial and Applied Mathematics eBooks · 3,411

Improved numerical dissipation for time integration algorithms in structural dynamics

1977 · Hans M. Hilber, Thomas J. R. Hughes, et al. · Earthquake Engineering & Structural Dynamics · 2,445

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Detailed Error Analysis for a Fractional Adams Method

2004 · Kai Diethelm, Neville J. Ford, et al. · Numerical Algorithms · 1,031

A One-Step Conversion of Benzene to Phenol with a Palladium Membrane

2002 · Shu-ichi Niwa, Muthusamy Eswaramoorthy, et al. · Science · 554

Ordinary Differential Equations

1983 · James S. Vandergraft · Elsevier eBooks · 476

One-step and extrapolation methods for differential-algebraic systems

1987 · P. Deuflhard, E. Hairer, et al. · Numerische Mathematik · 464

Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method

1977 · W.R. Briley, H. McDonald · Journal of Computational Physics · 425

Practical time-stepping schemes

1990 · W. L. Wood · Medical Entomology and Zoology · 393

Numerical integration of ordinary differential equations on manifolds

1993 · P. E. Crouch, R. Grossman · Journal of Nonlinear Science · 333

Data driven governing equations approximation using deep neural networks

2019 · Tong Qin, Kailiang Wu, et al. · Journal of Computational Physics · 284

Block Implicit One-Step Methods

1969 · L. F. Shampine, H. A. Watts · Mathematics of Computation · 220

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Surface modification of silica by two-step method and properties of solution styrene butadiene rubber (SSBR) nanocomposites filled with modified silica

2013 · Yan Li, Bingyong Han, et al. · Composites Science and Technology · 202

A Review of the Role of Solvents in Formation of High-Quality Solution-Processed Perovskite Films

2019 · Xiaobing Cao, Lili Zhi, et al. · ACS Applied Materials & Interfaces · 178

Nonlinear Brownian motion

1994 · Yu L Klimontovich · Physics-Uspekhi · 175

One‐Step Process for Creating Triple‐Shape Capability of AB Polymer Networks

2008 · Marc Behl, Ingo Bellin, et al. · Advanced Functional Materials · 171

Verification methods for dense and sparse systems of equations

1994 · Rump, Siegfried M. · tub.dok (Hamburg University of Technology) · 171

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Effective acid-catalyzed transesterification for biodiesel production

2009 · Xiaoling Miao, Rongxiu Li, et al. · Energy Conversion and Management · 167

Bias in the one‐step method for pooling study results

1990 · Sander Greenland, Alberto Salvan · Statistics in Medicine · 165

One-step production of biodiesel from Nannochloropsis sp. on solid base Mg–Zr catalyst

2011 · Yuesong Li, Shuang Lian, et al. · Applied Energy · 149

One-Step Piecewise Polynomial Galerkin Methods for Initial Value Problems

1972 · Bernie L. Hulme · Mathematics of Computation · 146

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Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations

1988 · Claes Johnson · SIAM Journal on Numerical Analysis · 145

One-step selective hydroxylation of benzene to phenol with hydrogen peroxide catalysed by copper complexes incorporated into mesoporous silica–alumina

2016 · Mihoko Yamada, Kenneth D. Karlin, et al. · Chemical Science · 132

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Increased yields in biodiesel production from used cooking oils by a two step process: Comparison with one step process by using TGA

2007 · Gökhan Çaylı, Selim Küsefoğlu · Fuel Processing Technology · 130

Using wet microalgae for direct biodiesel production via microwave irradiation

2013 · Jun Cheng, Tao Yu, et al. · Bioresource Technology · 122

Comparison of three methods for obtaining plantar pressures in nonpathologic subjects

1994 · B Meyers-Rice, L Sugars, et al. · Journal of the American Podiatric Medical Association · 122

Works count: 1,357

Citation count: 21,800