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Keyword

explicit schemes

Description: Explicit schemes are numerical methods that calculate a solution at a new step directly from known values, especially in differential equations and computational physics.
OpenAlex ID: keywords/explicit-schemes
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
1973 · Jay P Boris, David L Book · Journal of Computational Physics · 2,175
An Elastic–Viscous–Plastic Model for Sea Ice Dynamics
1997 · E. C. Hunke, J. K. Dukowicz · Journal of Physical Oceanography · 1,283
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A family of low dispersive and low dissipative explicit schemes for flow and noise computations
2003 · Christophe Bogey, Christophe Bailly · Journal of Computational Physics · 964
Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
1984 · Thiab R Taha, Mark I Ablowitz · Journal of Computational Physics · 686
A Comparison of Numerical Simulation Models For One‐Dimensional Infiltration
1977 · R. Haverkamp, M. Vauclin, et al. · Soil Science Society of America Journal · 664
Heat Transfer
2008 · Gregory Nellis, Sanford Klein · Cambridge University Press eBooks · 570
Accurate solutions of moving boundary problems using the enthalpy method
1981 · V. Voller, M. Cross · International Journal of Heat and Mass Transfer · 542
The Method of Space-Time Conservation Element and Solution Element—A New Approach for Solving the Navier-Stokes and Euler Equations
1995 · Sin-Chung Chang · Journal of Computational Physics · 535
Construction of explicit and implicit symmetric TVD schemes and their applications
1987 · H.C Yee · Journal of Computational Physics · 497
The Grünwald–Letnikov method for fractional differential equations
2011 · Rudolf Scherer, Shyam L. Kalla, et al. · Computers & Mathematics with Applications · 487
Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
2012 · Martin Hutzenthaler, Arnulf Jentzen, et al. · The Annals of Applied Probability · 435
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A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: explicit method
1986 · M.M. Chawla, P.S. Rao · Journal of Computational and Applied Mathematics · 304
Solution of Partial Differential Equations on Vector and Parallel Computers
1985 · James M. Ortega, Robert G. Voigt · Society for Industrial and Applied Mathematics eBooks · 282
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Examples of Stiff Equations
1996 · Ernst Hairer, Gerhard Wanner · Springer series in computational mathematics · 268
A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
2005 · Àngel Jorba, Maorong Zou · Experimental Mathematics · 262
Improving the stability of a simple formulation of the shallow water equations for 2‐D flood modeling
2012 · Gustavo A. M. de Almeida, Paul Bates, et al. · Water Resources Research · 248
On the discretization schemes for the CIR (and Bessel squared) processes
2005 · Aurélien Alfonsi · Monte Carlo Methods and Applications · 246
Numerical methods for the solution of partial differential equations of fractional order
2003 · V.E. Lynch, B.A. Carreras, et al. · Journal of Computational Physics · 246
Conservative difference methods for the Klein–Gordon–Zakharov equations
2006 · Tingchun Wang, Juan Chen, et al. · Journal of Computational and Applied Mathematics · 241
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Solution of Partial Differential Equations on Vector and Parallel Computers
1985 · James M. Ortega, Robert G. Voigt · SIAM Review · 229
Lattice Approximations for Stochastic Quasi-Linear Parabolic Partial Differential Equations driven by Space-Time White Noise II
1999 · István Gyöngy · Potential Analysis · 228
Contractivity of Runge-Kutta methods
1991 · J. F. B. M. Kraaijevanger · BIT Numerical Mathematics · 211
Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
1989 · JOHN P. COLEMAN · IMA Journal of Numerical Analysis · 209
Spectral Methods in Time for Hyperbolic Equations
1986 · Hillel Tal-Ezer · SIAM Journal on Numerical Analysis · 188
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Runge–Kutta–Nyström methods adapted to the numerical integration of perturbed oscillators
2002 · J.M. Franco · Computer Physics Communications · 183
Works count: 2,174
Citation count: 31,260
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