Sergei Konstantinovich Godunov
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Engineering Mathematics
Sergei Konstantinovich Godunov's Degrees
- PhD Mathematics Moscow State University
- Doctorate Mathematics Moscow State University
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(Suggest an Edit or Addition)Sergei Konstantinovich Godunov's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics (1959) (2836)
- Numerical solution of multidimensional problems of gas dynamics (1976) (575)
- Elements of Continuum Mechanics and Conservation Laws (2003) (311)
- Modern Aspects of Linear Algebra (1998) (141)
- A computational scheme for two-dimensional non stationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state☆ (1962) (134)
- Difference Schemes: An Introduction to the Underlying Theory (1987) (124)
- Nonstationary equations of nonlinear elasticity theory in eulerian coordinates (1972) (110)
- Reminiscences about Difference Schemes (1999) (88)
- ON DISCRETE MODELS OF THE KINETIC BOLTZMANN EQUATION (1971) (86)
- Theory of difference schemes : an introduction (1964) (86)
- THE PROBLEM OF A GENERALIZED SOLUTION IN THE THEORY OF QUASILINEAR EQUATIONS AND IN GAS DYNAMICS (1962) (75)
- Guaranteed Accuracy in Numerical Linear Algebra (1993) (73)
- The use of moving meshes in gas-dynamical computations☆ (1972) (70)
- Hydrodynamic Effects in Colliding Solids (1970) (63)
- Difference methods for the numerical solution of problems in gas dynamics (1963) (57)
- Symmetric form of the magnetohydrodynamic equation (1972) (48)
- Problem of the dichotomy of the spectrum of a matrix (1986) (47)
- Systems of thermodynamically coordinated laws of conservation invariant under rotations (1996) (44)
- Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee (2014) (43)
- Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium (2010) (42)
- Circular dichotomy of the spectrum of a matrix (1988) (38)
- SPECTRAL STABILITY CRITERIA FOR BOUNDARY-VALUE PROBLEMS FOR NON-SELF-ADJOINT DIFFERENCE EQUATIONS (1963) (33)
- Influence of material viscosity on the jet formation process during collisions of metal plates (1975) (33)
- Ordinary Differential Equations With Constant Coefficient (1997) (31)
- Elements of continuum mechanics (1978) (30)
- On the computation of conformal transformations and the construction of difference meshes (1967) (27)
- Wave formation in explosive welding (1971) (26)
- Symmetric hyperbolic equations in the nonlinear elasticity theory (2008) (23)
- A DIFFERENCE SCHEME FOR TWO-DIMENSIONAL UNSTEADY PROBLEMS OF GAS DYNAMICS AND COMPUTATION OF FLOW WITH A DETACHED SHOCK WAVE, (1965) (20)
- The use of a class of quasiconformal mappings to construct difference nets in domains with curvilinear boundaries (1975) (20)
- Equations of state of the elastic energy of metals in the case of a nonspherical strain tensor (1974) (19)
- Some new algorithms for the spectral dichotomy methods (2003) (19)
- Numerical and experimental simulation of wave formation during explosion welding (2013) (18)
- Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics (2011) (18)
- Computation of an eigenvector of a symmetric tridiagonal matrix (1985) (18)
- Numerical Determination of a Canonical Form of a Symplectic Matrix (2001) (18)
- Use of relaxation viscoelastic model in calculating uniaxial homogeneous strains and refining the interpolation equations for maxwellian viscosity (1975) (17)
- Spectral Analysis of Symplectic Matrices with Application to the Theory of Parametric Resonance (2006) (16)
- Investigation of the viscosity of metals in high-velocity collisions (1971) (16)
- Condition number of the Krylov bases and subspaces (1996) (15)
- Complicated structures of galilean‐invariant conservation laws (2002) (15)
- The simplest galilean‐invariant and thermodynamically consistent conservation laws (2002) (14)
- On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics (2007) (14)
- Computation of pseudospectra via spectral projectors (1998) (13)
- ELLIPTIC DICHOTOMY OF A MATRIX SPECTRUM (1996) (12)
- The Clebsch–Gordan Coefficients with Respect to Various Bases for Unitary and Orthogonal Representations of SU(2) and SO(3) (2004) (12)
- The Theory of Difference Schemes (1966) (11)
- Singular value decomposition (2021) (11)
- Interpolation formulas for maxwell viscosity of certain metals as a function of shear-strain intensity and temperature (1974) (11)
- VARIATIONAL PRINCIPLE FOR 2-D REGULAR QUASI-ISOMETRIC GRID GENERATION (1995) (11)
- Thermodynamic formalization of the fluid dynamics equations for a charged dielectric in an electromagnetic field (2012) (10)
- Bounds for the convergence rate of Newton's method for calculating invariant subspaces (2002) (9)
- Equations of the linear theory of elasticity with point maxwellian sources of stress relaxation (1977) (9)
- Verification of boundedness for the powers of symplectic matrices with the help of averaging (1992) (9)
- Symmetrization of the nonlinear system of gas dynamics equations (2008) (9)
- Reduction of a hyperbolic equation to a symmetric hyperbolic system in the case of two space variables (1980) (8)
- Galilean-Invariant and Thermodynamically Consistent Model of a Composite Isotropic Medium (2004) (7)
- Shock structure in a viscoelastic medium with a nonlinear dependence of the Maxwellian viscosity on the parameters of the material (1974) (7)
- Reminiscences about numerical schemes (2008) (7)
- Stability of the Krylov bases and subspaces (1994) (6)
- Stability of iterations of symplectic transformations (1989) (6)
- The dissipativity of Vladimirov's boundary conditions for a symmetric system of the method of spherical harmonics (1971) (6)
- On Approximations for Overdetermined Hyperbolic Equations (2008) (6)
- THE EQUATIONS OF ELASTICITY WITH DISSIPATION AS A NONTRIVIAL EXAMPLE OF THERMODYNAMICALLY CONSISTENT HYPERBOLIC EQUATIONS (2004) (6)
- The Green matrix of the boundary-value problem for ordinary differential equations (1984) (6)
- A method for calculating invariant subspaces of symmetric hyperbolic equations (2006) (5)
- Error estimates for the approximate solutions of the simplest equations in gas dynamics (1962) (5)
- New Version of the Thermodynamically Consistent Model of Maxwell Viscosity (2004) (5)
- A method of orthogonal successive substitution for the solution of systems of difference equations (1963) (5)
- A method of minimal iterations for evaluating the eigenvalues of an elliptic operator (1970) (5)
- Bounds for the principal and stiff components based on the integral performance criterion for dichotomy (2000) (5)
- Experimental Studies of Difference Gas Dynamics Models with Shock Waves (2018) (5)
- On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix (2008) (5)
- On difference schemes of the second order of accuracy for multidimensional problems (1963) (4)
- Smoothing techniques and computation of invariant subspaces of elliptic operators (2000) (4)
- Spectrum dichotomy and a stability criterion for sectorial operators (1995) (4)
- Experimental study of numerical methods for the solution of gas dynamics problems with shock waves (2018) (4)
- Canonical forms of systems of ordinary linear difference equations with constant coefficients (1963) (4)
- An estimate for Green's matrix of a Hamiltonian system in the optimal control problem (1993) (4)
- On the convergence of the modi ed method of steepest descent in the calculation of eigenvalues (1976) (4)
- About inclusion of Maxwell’s equations in systems relativistic of the invariant equations (2013) (3)
- Singular numbers of a boundary-value problem on the halfline for a linear system of ordinary differential equations (1989) (3)
- Shock wave incidence on a V-shaped cavity (1969) (3)
- The solution of differential equations by the use of curvilinear difference networks (1968) (3)
- Energy Integrals in the Theory of Shock Wave Stability (1983) (3)
- Solution of the Laplace difference equation (1969) (2)
- Some self-modelling motions of an ideal gas (1968) (2)
- Estimate of errors for approximate solutions of the simplest equations of gasdynamics (1964) (2)
- APPLICATION OF A NEW MATHEMATICAL TOOL (1D SPECTRAL PORTRAITS OF MATRICES) TO THE PROBLEM OF AEROELASTICITY VIBRATIONS OF TURBINE BLADE CASCADES (2009) (2)
- The method of spherical harmonics in a problem of critical parameters (1964) (2)
- On the annular separation of a matrix spectrum (2000) (2)
- Calculating difficulties in Hurwitz problem and ways to overcome them (1982) (2)
- Study of Entropy Properties of a Linearized Version of Godunov’s Method (2020) (2)
- Reminiscences about Difference Schemes 1 (1999) (1)
- On the ideas underlying grid generation methods: Reminiscence induced by the meeting of the editorial board dedicated to difference grids (2003) (1)
- DIFFERENCE SCHEMES FOR MANY DIMENSIONAL PROBLEMS (1965) (1)
- In memory of Radii Petrovich Fedorenko (1930–2010) (2010) (1)
- On Correct Mathematical Description of Processes in Continuous Media with Maxwell Viscosity (2002) (1)
- Hausdorff sets of matrices and an estimate for the angle between invariant subspaces (1995) (1)
- Computation of layers in Eulerian gas flow (1986) (0)
- Aleksei Valerievich Zabrodin (1933–2008) (2009) (0)
- Book-Review - Difference Schemes - Studies in Mathematics and its Applications (1989) (0)
- Multi-Dimensional Thermodynamically Compatible Conservation Laws (2003) (0)
- Nine Papers from the International Congress of Mathematicians 1986 (1990) (0)
- Numerical Method of Quasi-Isometric Parametrization for Two-Dimensional Curvilinear Domains (2020) (0)
- Use of the energy integral to estimate the accuracy of approximate eigenvalues (1971) (0)
- Calculating symmetrizations and skew-symmetrizations of matrices (1994) (0)
- Mikhail Mikhaĭlovich Lavrent'ev (on his 70th birthday). (2002) (0)
- Remembrances of Sergei L'vovich Sobolev (1989) (0)
- Experimental studies of difference models of gas dynamics with shock waves (2018) (0)
- Deflation Algorithms for Band Matrices (1993) (0)
- Viktor Solomonovich Ryaben'kii (on his seventieth birthday) (1993) (0)
- An algorithm of spectrum analysis for symmetric hyperbolic equations (2005) (0)
- Effective Elastic Deformation (2003) (0)
- Computation of Eigenspaces of Hyperbolic Systems (2009) (0)
- Differential Equations of Dynamical Processes (2003) (0)
- Thermodynamically Consistent Systems of Hyperbolic Equations (2011) (0)
- Twelve Papers on Analysis, Applied Mathematics and Algebraic Topology (1963) (0)
- SHOCK WAVE INCIDENCE ON A V-SHAPED (1969) (0)
- BAIL IV : proceedings of the Fourth International Conference on Boundary and Interior Layers, computational and asymptotic methods, 7-11 July, 1986, Novosibirsk, USSR (1986) (0)
- The expression of V. S. Vladimirov's functional in terms of spherical harmonics in tensor form (P3-approximation) (1968) (0)
- Algorithm for construction of quasi-isometric grids in curvilinear quadrangular regions (1998) (0)
- Yurii Leonidovich Ershov (on his seventieth birthday) (2011) (0)
- Study of Entropy Properties of a Linearized Version of Godunov’s Method (2020) (0)
- Thermodynamics, Conservation Laws and their Rotation Invariance (2001) (0)
- Quantitative characteristics of the main concepts of linear control theory (1989) (0)
- Sturm Sequences of Tridiagonal Matrices (1993) (0)
- Peculiarities of Computer Computations (1993) (0)
- Elementary Properties of Deformations and Stresses (2003) (0)
- Boris Nikolaevich Chetverushkin (on his 70th birthday) (2014) (0)
- Experimental Studies of Difference Gas Dynamics Models with Shock Waves (2018) (0)
- Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee (2014) (0)
- Thermodynamic formalization of the fluid dynamics equations for a charged dielectric in an electromagnetic field (2012) (0)
- Numerical Method of Quasi-Isometric Parametrization for Two-Dimensional Curvilinear Domains (2020) (0)
- Well-Posedness of Differential Equations and Thermodynamics (2003) (0)
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