Finite difference schemes and partial differential equations /
Strikwerda, John C., 1947-
Finite difference schemes and partial differential equations / John C. Strikwerda. - Pacific Grove, Calif. : Wadsworth & Brooks/Cole Advanced Books & Software, c1989. - xii, 386 p. : ill. ; 25 cm. + hbk. - The Wadsworth & Brooks/Cole mathematics series . - Wadsworth & Brooks/Cole mathematics series. .
Includes bibliographical references (pages 379-382) and index.
Hyperbolic partial differential equations -- Analysis of finite difference schemes -- Order of accuracy of finite difference schemes -- Stability for multistep schemes -- Dissipation and dispersion -- Parabolic partial differential equations -- Systems of partial differential equations in higher dimensions -- Second order equations -- Analysis of well-posed and stable problems -- Convergence estimates for initial value problems -- Well-posed and stable initial-boundary value problems -- Elliptic partial differential equations and difference schemes -- Linear iterative methods -- The method of steepest descent and the conjugate gradient method.
053409984X
89005571
Differential equations, Partial--Numerical solutions.
Finite differences.
515.353
Finite difference schemes and partial differential equations / John C. Strikwerda. - Pacific Grove, Calif. : Wadsworth & Brooks/Cole Advanced Books & Software, c1989. - xii, 386 p. : ill. ; 25 cm. + hbk. - The Wadsworth & Brooks/Cole mathematics series . - Wadsworth & Brooks/Cole mathematics series. .
Includes bibliographical references (pages 379-382) and index.
Hyperbolic partial differential equations -- Analysis of finite difference schemes -- Order of accuracy of finite difference schemes -- Stability for multistep schemes -- Dissipation and dispersion -- Parabolic partial differential equations -- Systems of partial differential equations in higher dimensions -- Second order equations -- Analysis of well-posed and stable problems -- Convergence estimates for initial value problems -- Well-posed and stable initial-boundary value problems -- Elliptic partial differential equations and difference schemes -- Linear iterative methods -- The method of steepest descent and the conjugate gradient method.
053409984X
89005571
Differential equations, Partial--Numerical solutions.
Finite differences.
515.353