Nonlinear Partial Differential Equations. A Symposium on Methods of Solution

Science & Math

Ames, William F.

Mathematics

Academic Press

This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls--such as overstability, consistency requirements, and the danger of extrapolation to nonlinear problems methods used on linear problems. Numerical Methods for Partial Differential Equations, Third Edition reflects the great accomplishments that have taken place in scientific computation in the fifteen years since the Second Edition was published. This new edition is a drastic revision of the previous one, with new material on boundary elements, spectral methods, the methods of lines, and invariant methods. At the same time, the new edition retains the self-contained nature of the older version, and shares the clarity of its exposition and the integrity of its presentation. Key Features * Material on finite elements and finite differences have been merged, and now constitute equal partners * Additional material has been added on boundary elements, spectral methods, the method of lines, and invariant methods * References have been updated, and reflect the additional material * Self-contained nature of the Second Edition has been maintained * Very suitable for PDE courses

Numerical Methods For Partial Differential Equations (Computer Science and Applied Mathmatics)

Numerical Methods for Partial Differential Equations (Computer Science and Scientific Computing)

Nonlinear Ordinary Differential Equations in Transport Processes

Computers & Technology

Computer Science

Mathematics for Mechanical Engineers

Mathematics for Mechanical Engineers gives mechanical engineers convenient access to the essential problem solving tools that they use each day. It covers applications employed in many different facets of mechanical engineering, from basic through advanced, to ensure that you will easily find answers you need in this handy guide. For the engineer venturing out of familiar territory, the chapters cover fundamentals like physical constants, derivatives, integrals, Fourier transforms, Bessel functions, and Legendre functions. For the experts, it includes thorough sections on the more advanced topics of partial differential equations, approximation methods, and numerical methods, often used in applications. The guide reviews statistics for analyzing engineering data and making inferences, so professionals can extract useful information even with the presence of randomness and uncertainty. The convenient Mathematics for Mechanical Engineers is an indispensable summary of mathematics processes needed by engineers.

Cain, George

Coleman, Hugh W.

Steele, W. Glenn

Kreith, Frank

Tong, Y.L.

Kautz, Richard L.

Frangopol, Dan M.

Norton, Paul

CRC-Press

Numerical methods for partial differential equations (Applications of mathematics series)

This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls--such as overstability, consistency requirements, and the danger of extrapolation to nonlinear problems methods used on linear problems. Numerical Methods for Partial Differential Equations, Third Edition reflects the great accomplishments that have taken place in scientific computation in the fifteen years since the Second Edition was published. This new edition is a drastic revision of the previous one, with new material on boundary elements, spectral methods, the methods of lines, and invariant methods. At the same time, the new edition retains the self-contained nature of the older version, and shares the clarity of its exposition and the integrity of its presentation.                                      Key Features* Material on finite elements and finite differences have been merged, and now constitute equal partners* Additional material has been added on boundary elements, spectral methods, the method of lines, and invariant methods* References have been updated, and reflect the additional material* Self-contained nature of the Second Edition has been maintained* Very suitable for PDE courses

Barnes&Noble

Differential equations are the pre-eminent modelling device of engineering and the applied sciences. This volume contains a refereed subset of papers presented at the 1991 IMACS World Congress. A natural subdivision occurred - General Theory, Specific Differential Equations and Computational Methods. There are eleven papers in the area termed General Theory. Seventeen papers concern Specific Differential Equations - both ordinary and partial - which have been used to model various phenomena. Finally, fourteen papers are devoted to a variety of Computational Methods.

Computational and Applied Mathematics, II: Differential Equations : Selected and Revised Papers from the Imacs 13th World Congress, Dublin, Ireland,

North-Holland

Mathematics for Mechanical Engineers gives mechanical engineers convenient access to the essential problem solving tools that they use each day. It covers applications employed in many different facets of mechanical engineering, from basic through advanced, to ensure that you will easily find answers you need in this handy guide. For the engineer venturing out of familiar territory, the chapters cover fundamentals like physical constants, derivatives, integrals, Fourier transforms, Bessel functions, and Legendre functions. For the experts, it includes thorough sections on the more advanced topics of partial differential equations, approximation methods, and numerical methods, often used in applications. The guide reviews statistics for analyzing engineering data and making inferences, so professionals can extract useful information even with the presence of randomness and uncertainty. The convenient Mathematics for Mechanical Engineers is an indispensable summary of mathematics processes needed by engineers.

Nonlinear Problems of Eng

ACADEMIC PRESS INC@

This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls-such as overstability, consistency requirements, and the danger of extrapolation to nonlinear problems methods used on linear problems. Numerical Methods for Partial Differential Equations, Third Edition reflects the great accomplishments that have taken place in scientific computation in the fifteen years since the Second Edition was published. This new edition is a drastic revision of the previous one, with new material on boundary elements, spectral methods, the methods of lines, and invariant methods. At the same time, the new edition retains the self-contained nature of the older version, and shares the clarity of its exposition and the integrity of its presentation.

Numerical Methods for Partial Differential Equations

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