Авторизация
Поиск по указателям
Shapira Y. — Solving PDEs in C++: numerical methods in a unified object-oriented approach
Обсудите книгу на научном форуме Нашли опечатку?
Название: Solving PDEs in C++: numerical methods in a unified object-oriented approachАвтор: Shapira Y. Аннотация: This book teaches C++ and uses it to solve partial differential equations (PDEs). Basic and advanced numerical methods are introduced and implemented easily and efficiently in a unified object-oriented approach.
Язык: Рубрика: Computer science /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 524Добавлена в каталог: 29.10.2010Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
DELETE 55 see Denoising 237 458 Denoising, color 241 458 Dereferencing 121 derived class 80 199 445 destructor 55 287 Destructor, default 68 287 Destructor, default, in dynamic vector 96 Destructor, default, in inheritance 82 Destructor, default, in template 73 Destructor, default, in vector 76 Destructor, in vector 76 Diagonally dominant 210 262 270 Difference operator 201 Difference operator, in two dimensions 448 Difference scheme 166 see Diffusion, coefficient 271 395 Diffusion, equation 395 Diffusion, nonlinear 238 Diffusion, problem 249 Diffusion, solver 478 Diffusion, strong 272 397 Diffusion, time-dependent 238 250 399 Diffusion, weak 272 Digital image 237 458 Digital image, color 240 458 Discretization 188 239 see Discretization error 214 Discretization error, in Helmholtz 427 429 Discretization error, in Riemann 230 Distributed memory 374 Divergence 414 Divergence, free 416 Divergence, zero 416 435 DO 18 Domain decomposition 362 Domain, circular 274 Domain, complicated 297 395 Domain, irregular 259 297 Domain, nonconvex 309 Domain, rectangular 205 238 266 Domain, time-space 181 191 Domain, time-space, in Riemann 220 Domain, time-space, in two dimensions 234 455 Domain, time-space, the implementation of 195 DOUBLE PRECISION 7 see Edge, array of 125 Edge, in graph 114 122 Edge, in triangulation 128 Elasticity, linear 403 417 Elasticity, linear, general 416 419 Elasticity, linear, solver 481 electric field 434 Electromagnetic 425 434 else 15 Energy inner product 278 Energy norm 360 387 419 422 Energy norm, of matrix 278 Error estimate 272 343 Error estimate, computational 168 Error estimate, discretization 216 Error estimate, Taylor scheme 172 execute 3 execution 12 Existence, in ODE 161 170 175 Existence, in PDE 254 Explicit scheme 191 212 456 Exponent function 40 Exponent function, of matrix 90 Exponential time 3 File, of instructions 374 File, open a 25 File, output 5 FILE, pointer 25 386 File, print on 25 File, read from 25 File, static 40 File, variable 25 386 Finite difference 188 444 Finite difference, in Helmholtz 427 Finite difference, in ODE 166 Finite element 247 281 Finite element, bilinear 428 Finite element, cubic 316 Finite element, high-order 313 Finite element, implementation of 286 Finite element, in elasticity 406 Finite element, linear 259 Finite element, mesh 396 see Finite element, nonlinear 433 Finite element, quadratic 314 Float number 7 “"float"” for 18 Forward elimination 89 347 465 FOSLS 422 friend 57 Function 4 8 11 Function, argument in 24 Function, elemental basis 420 Function, friend 57 Function, interface 48 49 Function, interface, constructor is an 51 Function, interface, current object in 54 Function, interface, parallelized 380 Function, interface, returned object in 54 Function, language 121 Function, member 55 Function, nodal basis 264 Function, nodal basis, conformity in 302 Function, nodal basis, in elasticity 407 Function, nodal basis, in time marching 400 Function, nodal basis, linear 271 313 Function, nodal basis, quadratic 314 Function, nodal basis, three-dimensional 280 Function, typical nodal, bilinear 428 Function, typical nodal, linear 263 Gauss elimination 89 323 Gauss — Seidel relaxation 344 371 451 Gauss — Seidel relaxation, block 373 385 Gauss — Seidel relaxation, symmetric 346 384 388 Gersgorin theorem 209 456 Global, array 152 Global, function 196 Global, integer 475 Global, refinement 297 312 396 400 gmres 362 422 474 Godunov scheme 222 226 232 Godunov scheme, explicit 228 234 Godunov scheme, implicit 235 Golden ratio 33 Gradient 238 413 Gradient, of cubic function 317 Gradient, of divergence 416 Gradient, of nodal basis function 265 Gradient, of nodal function 265 294 337 Gradient, of quadratic function 316 Gradient, vanishes 271 Graph 114 Graph, coloring 122 Green, formula 251 Green, formula, in elasticity 404 Green, formula, in Riemann 220 224 Green, function 262 grid 133 Grid, in ODE 165 Grid, in PDE 188 199 Grid, in PDE, in two dimensions 205 444 Grid, rectangular 190 Grid, time-space 212 Grid, time-space, implementation of 199 Grid, time-space, in two dimensions 444 Harwell — Boeing collection 126 385 Harwell — Boeing collection, numerical results 388 Harwell — Boeing collection, read matrix 387 Has a 47 79 291 Heat equation 182 216 Helmholtz equation 364 426 436 Hidden, in inheritance 79 Hidden, in parallelism 383 475 Hidden, in polynomial 141 Hidden, in recursion 36 Hidden, storage 94 143 High-level, code, in ODE 168 172 High-level, code, in parallelism 380 High-level, language 4 370 High-level, object 132 High-level, programming 136 High-level, programming, in inheritance 82 Horner algorithm 144 Horner algorithm, in exponent 41 Horner algorithm, in ODE 166 168 173 Horner algorithm, in power 146 Horner algorithm, in Taylor series 149 Hypercube 376 382 I/O 4 see if 14 see ILU, factorization 347 ILU, iteration 465 ILU, no fill-in, implementation of 465 ILU, no fill-in, in multigrid 353 362 399 411 Image processing 237 see implementation 3 126 135 143 194 Implementation, downward 124 130 Implementation, parallel 369 370 475 Implementation, parallel, low-level 379 383 Implementation, upward 124 Implicit scheme 193 212 399 Implicit scheme, in denoising 239 INCLUDE 13 20 Incomplete factorization 347 see Indefinite matrix 421 Indexing, direct 102 111 Indexing, indirect 102 111 Indexing, of finite elements in Stokes 421 Indexing, of nodes 284 Indexing, of nodes, in finite element 289 Indexing, of nodes, in mesh 292 information 131 137 inheritance 79 Initial-boundary-value problem 187 initialization list 52 68 195 357 Initialization list, in dynamic vector 96 Initialization list, in inheritance 81 Initialize 8 48 51 Input/Output 3 13 25 370 INTEGER 7 see Is a 47 79 291 Isotropic 269 Iterative method 341 342 Jacobi relaxation 344 382 384 388 Jacobi relaxation, block 385 388 Jacobian 264 JORDAN 163 Jordan, form 165 210 456 Jordan, matrix 216 236 Kacmarz iteration 346 378 465 Kremer formula 442 KRYLOV 359 360 470 474 Kuramoto — Sivashinsky 171 L-matrix 262 Laplace equation 262 Laplacian 414 Laplacian, vector 414 416 423 Linear system 323 see Linear system, in implicit scheme 193 Linear system, solvers 341 398 Linearization, in denoising 240 Linearization, in Navier — Stokes 423 Linearization, in Riemann 228 230 Linked list 102 see LIST 99 111 198 List, of connected lists 131 List, of instructions 3 List, of nodes 288 List, of operations 135 List, of rows 325 335 List, of variable-size objects 111 Local, argument 12 see Local, maximum 30 Local, object 137 see Local, refinement 297 see Local, variable 12 see Logical, and 14 62 Logical, if 7 Logical, not 70 Logical, operator 14 62 Logical, operator, priority order of 15 62 Logical, or 15 Loop 17 19 Loop, nested 20 349 Loop, nested, in array 24 29 Loop, nested, over edges 126 Loop, nested, over triangles 131 133 Loop, nested, over vertices 295 Loop, subloop 390 475 Low-level, in parallelism 369 379 383 Low-level, language 4 Low-level, object 169 294 Low-level, programming 136 Low-level, programming, in polynomial 141 LU decomposition 88 347 LU decomposition, block 421 LU decomposition, in PDEs 417 M-matrix 262 269 Magnetic field 434 Manifold, invariant 170 174 Manifold, stable 170 174 175 Matrix 86 440 Matrix, dense 325 Matrix, determinant of 88 441 Matrix, element 326 Matrix, exponent of 90 Matrix, indefinite 421 Matrix, inverse of 88 441 Matrix, L- 262 Matrix, M- 262 269 Matrix, negative definite 421 Matrix, positive definite 262 Matrix, rectangular 352 Matrix, sparse 325 Matrix, sparse, coloring of 124 127 Matrix, sparse, implementation of 334 Matrix, sparse, multiplication of 378 Matrix, sparse, operators on 462 Matrix, sparse, transpose of 463 Matrix, SPD 262 Matrix, stiffness 259 261 Matrix, stiffness, inelasticity 407 481 Matrix, stiffness, symmetric 261 Matrix, stiffness, to assemble 265 293 337 Matrix, symmetric 122 261 262 Matrix, transpose of 441 Maximum 30 Maxwell equations 434 Member 55 Member, private 56 62 68 73 81 Member, private, in tree 113 Member, protected 81 330 Member, public 67 73 Member, public, in connected list 103
Реклама
|
|
О проекте