Keyword

difference schemes

Description: Difference schemes are discrete numerical approximations of differential equations, analyzed for accuracy and stability in computational mathematics.

Primary topic: Differential Equations and Numerical Methods (26%)

OpenAlex ID: keywords/difference-schemes

Approximate Riemann solvers, parameter vectors, and difference schemes

1981 · P.L Roe · Journal of Computational Physics · 9,268

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes

1997 · P.L. Roe · Journal of Computational Physics · 6,277

On the Construction and Comparison of Difference Schemes

1968 · Gilbert Strang · SIAM Journal on Numerical Analysis · 3,576

The numerical simulation of two-dimensional fluid flow with strong shocks

1984 · Paul Woodward, Phillip Colella · Journal of Computational Physics · 2,929

Systems of conservation laws

1960 · Peter Lax, Burton Wendroff · Communications on Pure and Applied Mathematics · 2,651

The Theory of Difference Schemes

2001 · AA Samarskii,, VD Radulescu, · Applied Mechanics Reviews · 2,516

Absorbing boundary conditions for the numerical simulation of waves

1977 · Bjorn Engquist, Andrew Majda · Mathematics of Computation · 2,410

The Theory of Difference Schemes

1967 · I. M. Khabaza · Journal of the London Mathematical Society · 1,010

A new difference scheme for the time fractional diffusion equation

2014 · Anatoly A. Alikhanov · Journal of Computational Physics · 884

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A differential scheme for the effective moduli of composites

1985 · A.N. Norris · Mechanics of Materials · 790

High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations

1991 · Stanley Osher, Chi-Wang Shu · SIAM Journal on Numerical Analysis · 760

Difference schemes for hyperbolic equations with high order of accuracy

1964 · Peter D. Lax, Burton Wendroff · Communications on Pure and Applied Mathematics · 675

Methods of Numerical Mathematics

1977 · Bertil Gustafsson, G. I. Marchuk · Mathematics of Computation · 624

Multiple-antenna techniques for wireless communications - a comprehensive literature survey

2009 · Jan Mietzner, Robert Schober, et al. · IEEE Communications Surveys & Tutorials · 552

A study of the differential scheme for composite materials

1977 · R. McLaughlin · International Journal of Engineering Science · 545

Absorbing boundary conditions for numerical simulation of waves

1977 · Björn Engquist, Andrew Majda · Proceedings of the National Academy of Sciences · 515

Absorbing Boundary Conditions for the Numerical Simulation of Waves

1977 · Bjorn Engquist, Andrew Majda · Mathematics of Computation · 495

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Introduction to the theory of difference schemes

1973 · V.V Zhurin · USSR Computational Mathematics and Mathematical Physics · 477

Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points

1978 · R. Bruce Kellogg, Alice Tsan · Mathematics of Computation · 450

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Conservation equations of gasdynamics in curvilinear coordinate systems

1974 · Marcel Vinokur · Journal of Computational Physics · 421

A NEW DIFFERENCE SCHEME FOR PARABOLIC PROBLEMS**This work was supported by the U. S. Army Research Office, Durham, under Contract DAHC 04-68-C-0006.

1971 · Herbert B. Keller · Elsevier eBooks · 333

The differential scheme and its application to cracked materials

1988 · Zvi Hashin · Journal of the Mechanics and Physics of Solids · 316

Differencing scheme for a differential equation with a small parameter affecting the highest derivative

1969 · A. M. Il'in · Mathematical Notes · 300

New Difference Schemes for Partial Differential Equations

2004 · Allaberen Ashyralyev, Pavel E. Sobolevskii · Birkhäuser Basel eBooks · 280

Teoriya raznostnykh skhem (Theory of difference schemes)

1978 · V.L. Makarov · USSR Computational Mathematics and Mathematical Physics · 270

Works count: 4,256

Citation count: 67,140